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149. An identity of Sylvester and the Rogers-Ramanujan identities.
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154. Euler's "Exemplum Memorabile Inductionis Fallacis" and q-trinomial
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155. Partitions and the Gaussian sum. The Mathematical Heritage of C.
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156. *q*-trinomial coefficients and Rogers-Ramanujan type
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157. (with B. Berndt, L. Jacobsen, and R. L. Lamphere). Variations on
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159. (with D. R. Hickerson). Ramanujan's "lost" notebook, VII: The
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160. (with D. M. Jackson). An algebraically derived *q*-analog of
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161. A page from Ramanujan's lost notebook. Indian J. of Math.
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162. (with G. Almkvist). A Hardy-Ramanujan formula for restricted
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163. On the difference of successive Gaussian polynomials. J. Planning
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164. On Ramanujan's empirical calculation for the Rogers-Ramanujan
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165. Bailey chains and generalized Lambert series, I: Four identities
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166. Plane partitions, V: The T.S.S.C.P.P. conjecture. J. Combinatorial
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170. The reasonable and unreasonable effectivness of number theory in
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171. On the Greene-Krammer theorem and related identities. Ganita
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172. (with S.B. Ekhad and D. Zeilberger). A short proof of Jacobi's
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173. (with W. H. Burge). Determinant identities. Pac. J. Math.,
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174. Schur's theorem, Capparelli's conjecture and *q*-trinomial
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175. (with D. M. Jackson and T. Visentin). A hypergeometric analysis of
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176. (with C. Bessenrodt and J. B. Olsson). Partition identities and
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177. (with K. Alladi and B. Gordon). Generalizations and refinements of
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178. (with K. Alladi and B. Gordon). Refinements and generalizations of
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179. Modular equations and Ramanujan's chapter 16, entry 29. Proc.
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196. *q*-analogs of the binomial coefficient congruences of
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Wolstenholme and Glaisher. Discrete Mathematics 204:15-25, (1999)

197. (with A. Berkovich) A trinomial analogue of Bailey's lemma and N =
2 superconformal invariance. Comm. in Math. Physics 192:245-260 (1998)

198. Simplicity and surprise in Ramanujan's "Lost Notebook." Amer.
Math.
Monthly 104(10):918-925 (1997)

199. (with D. Bowman) The Bailey transform and D.B. Sears. Quaestiones
Mathematicae, 22(1):19-26 (1999)

200. Schur's theorem, partitions with odd parts and the
Al-Salam-Carlitz
polynomials. AMS Contemporary Mathematics, 254:45-53 (2000)

201. (with A. and J. Knopfmacher) Engel expansions and the
Rogers-Ramanujan identities. J. Number Theory 80(2):273-290 (2000).
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202. (with R. Lewis) The ranks and cranks of partitions moduli 2, 3 and
4. J. Number Theory, 85:74-84 (2000)

203. (with O. Warnaar and A. Schilling) An A2 Bailey lemma and
Rogers-Ramanujan-type identities. J. Amer. Math. Soc. 12:677-702 (1999)

204. (with R. Lewis) An algebraic identity of F. H. Jackson and its
implications for partitions. Discrete Math. 232:77-83 (2001)

205. (with R. Lewis) Restricted bipartitions Discrete Math.
232(1-3):85-89 (2001)

206. MacMahon's partition analysis: II. Fundamental theorems. Annals of
Combinatorics 4:327-338 (2000)

207. (with P. Paule and A. Riese) MacMahon's partition analysis: The
omega package. Europ J. Combinatorics 22(7):887-904 (2001)

208. (with P. Paule) MacMahon's partition analysis IV: Hypergeometric
multisums. Paper B42i, Issue 42, Séminaire Lotharingien de
Combinatoire
(electronic journal) (Issue 42 consists of papers presented at meeting
held in my honor at Maratea, Italy, September, 1998). Also in The
Andrews Festschrift: Seventeen Papers on Classical Number Theory and
Combinatorics, eds. D. Foata and G-N. Han, pp. 189-208. Berlin,
Springer, 2001

209. Stacked lattice boxes. Annals of Combinatorics 3:115-130 (1999)

210. (with A. Knopfmacher) An algorithmic approach to discovering and
proving q-series identity.
Algorithmica 29:34-43 (2001)

211. Three-quadrant Ferrers graphs. Indian J. Math. 42(1):1-7 (2000)

212. (with P. Paule, A. Riese, and V. Strehl) MacMahon's partition
analysis V: Bijections, recursions and magic squares.
AlgebraicCombinatorics and Applications, proceedings of Euroconference
Alcoma 99, September 12-19, 1999, Goessweistein, Germany, A. Betten, A.
Kohnert, R. Laue and A. Wassermann eds., pp. 1-39. Berlin, Springer,
2001

213. Some debts I owe. Paper B42a, Issue 42, Séminaire Lotharingien de
Combinatoire (electronic journal) (Issue 42 consists of papers
presented at meeting held in my honor at Maratea, Italy, September,
1998) Also in The Andrews Festschrift: Seventeen Papers on Classical
Number Theory and Combinatorics, eds. D. Foata and G-N. Han, pp. 1-16.
Berlin, Springer, 2001

214. (with A. Knopfmacher and P. Paule) An infinite family of Engel
expansions of Rogers-Ramanujan type. Advances in Applied Math 25:2-11
(2000)

215. (with C. Krattenthaler, L. Orsina, and P. Papi) ad-nilpotent
b-ideals in sl(n) having a fixed class of
nilpotence: Combinatorics and
enumeration. Trans. Amer. Math. Soc., 354(10):3835-3853 (2002)

216. with R. Lewis and Z-G. Liu) An identity relating a theta function
to a sum of Lambert series. Bull. London Math. Soc., 33:25-31 (2001)

217. (with L. Guo, W. Keigher and K. Ono) Baxter algebras and Hopf
algebras. Trans. Amer. Math. Soc. 355(11):4639-4656 (2003)

218. (with A. Knopfmacher and B. Zimmermann) On the number of distinct
values of multinomial coefficients. Journal of Number Theory 118:15-30
(2006)

219. (with R. Lewis and J. Lovejoy) Partitions with designated
summands.
Acta Arithmetica 105(1):51-66 (2002)

220. Umbral calculus, Bailey chains and pentagonal number theorems.
JCT(A) 91:464-475 (2000)

221. The Friedman-Joichi-Stanton monotonicity conjecture at primes.
DIMACS Series in Discrete Mathematics and Theoretical Computer Science,
64, M. B. Nathanson, ed., pp. 9-15. Providence, AMS, 2004

222. (with K. Ono and J. Jimenez Urroz) q-series identities and values
of certain L-functions. Duke Math.Journal 108(3):395-419 (2001)

223. (with A. Knopfmacher, P. Paule and B. Zimmermann) Engel expansions
of q-series by computer
algebra. Symbolic Computation, Number Theory,
Special Functions, Physics and Combinatorics, proceedings of Conference
on Symbolic Computation, Number Theory, Special Functions, Physics and
Combinatorics, University of Florida, November, 1999, Frank Garvan and
Mourad Ismail, eds., pp. 33-57. Dordrecht, Kluwer, 2001

224. (with K. Alladi and A. Berkovich) A four parameter generalization
of Göllnitzs (big) partition theorem. DIMACS Series in Discrete
Mathematics and Theoretical Computer Science, 64, M. B. Nathanson, ed.,
pp. 1-7. Providence, AMS, 2004

225. Bailey's transform, lemma, chain and tree. Special Functions 2000,
eds. J. Bustoz et al., pp. 1-22. Kluwer, (2001)

226. (with J. Wimp) Some q-orthogonal
polynomials and related Hankel
determinants. Rocky Mt. Journal of Math. 32(2):429-442 (2002)

227. Partitions: At the interface of q-series
and modular forms.
Ramanujan Journal 7(1,2,3):385-400 (2003)

228. (with P. Paule and A. Riese) MacMahon's partition analysis VI: A
new reduction algorithm. Annals Combin. 5:251-270 (2002)

229. (with P. Paule and A. Riese) MacMahon's partition analysis VII:
Constrained compositions. AMS Contemporary Mathematics 291:11-27 (2001)

230. (with P. Paule and A. Riese) MacMahon's partition analysis VIII:
Plane partition diamonds. Advances in Appl. Math. 27:231-242 (2001)

231. A Bailey lemma from the quintuple product. In Number Theory &
Discrete Mathematics, A. Agarwal et al. eds, pp. 37-46. Hindustan Book
Agency, (2002)

232. (with P. Paule and A. Riese) MacMahon's partition analysis IX:
k-gon partitions. Bull. Austral. Math. Soc. 64:321-329 (2001)

233. (with A. Knopfmacher, P. Paule & H. Prodinger) q-Engel series
expansions and Slater's identities. Quaestiones Mathematicae
24(30):403-416 (2001)

234. (with A. Berkovich) The WP-Bailey tree and its implications. J.
London Math. Soc. (2) 66:529-549 (2002)

235. (with B. Berndt, J. Sohn, A.J. Yee & A. Zaharescu) Continued
fractions with three limit points. Advances in Math 192:231-258 (2005)

236. (with B. Berndt, J. Sohn, A.J. Yee & A. Zaharescu) On
Ramanujan's continued fraction for (q2; q3) / (q; q3) . Trans. Amer.
Math. Soc. 355(6):2397-2411 (2003)

237. (with R.A. Pérez) A new partition identity arising from complex
dynamics. Annals of Combinatorics 9:245-257 (2005)

238. Fibonacci numbers and the Rogers-Ramanujan identities. Fibonacci
Quarterly 42(1):3-19 (2004)

239. (with K. Alladi and A. Berkovich) A new four parameter q-series
identity and its partition implications. Invention. Math.
153(2):231-260 (2003)

240. (with I.P. Goulden and D.M. Jackson) Determinants of random
matrices and Jack polynomials of rectangular shape. Studies Applied
Math 110:377-390 (2003)

241. a-Gaussian polynomials and finite Rogers-Ramanujan identities. In
Theory and Applications of Special Functions: A Volume Dedicated to
Mizan Rahman, M. Ismail and E. Koelink eds., 39-60. Springer, New York,
(2005)

242. Ramanujan's "Lost Notebook" VIII: the entire Rogers-Ramanujan
function. Advances in Math 191:393-407 (2005)

243. On a partition function of Richard Stanley. Stanley Festschrift,
Electronic Journal of Combinatorics, Vol. 11 (2),
http://www.combinatorics.org/

244. Ramanujan's "Lost Notebook." IX the partial theta function as an
entire function. Advances in Math 191:408-422 (2005)

245. (with P. Freitas) Extension of Abel's lemma with q-series
implications. Ramanujan Journal 10:137-152 (2005)

246. Carlitz and the general 3âĆ 2. Askey Special Issues, Ramanujan
Journal 13, #1/2/3:311-318 (2007)

247. The meaning of Ramanujan. Proceedings of International Conference
Number Theory for Secure Communications, SASTRA University, December
2003, 1-14

248. (with P. Paule and C. Schneider) Plane partitions VI: Stembridge's
TSPP theorem. Advances in Appl. Math. 34:709-739 (2005)

249. (with P. Paule and A. Riese) MacMahon's partition analysis X:
Plane
partitions with diagonals. Southeast Asian Journal Math. & Math
Sci. 3(1) (in honor of R. P. Agarwal) 3-14 (2004)

250. (with P. Paule and A. Riese) MacMahon's partition analysis XI:
Broken diamonds and modular forms. Acta Arith. 126.3:281-294 (2007)

251. Ramanujan and partial fractions. In Contributions to the History
of
Indian Mathematics, vol. 3 in series Culture and History of
Mathematics, G. Emch, R. Sridharan, and M. Srinivas eds., 251-260.
Hindustan Book Agency, New Delhi, (2005)

252. Partitions with short sequences and mock theta functions. Proc.
Nat. Acad. Sci. 102(13):4666-4671 (2005)

253. (with K. Alladi, K. Ono, and R. McIntosh) On the work of Basil
Gordon. JCT(A) 113:21-38 (2006)

254. (with P. Paule) Partition analysis XII: Plane partitions. J.
London
Math Soc. 76:647-666 (2007)

255. (with O. Warnaar) The product of partial theta functions. Adv.
Appl. Math. 39:116-120 (2007)

256. A Fine dream. International Journal of Number Theory) 3(3):325-334
(2007)

257. (with P. Paule) MacMahon's dream. In Partitions, q-series, and
Modular Forms, Dev. in Math 23, K. Alladi and F. Garvan, eds., pp.
1-12. Springer, New York (2012)

258. (with J. Sellers) On Sloane's generalization of non-squashing
stacks of boxes. Discrete Mathematics 307:1185-1190 (2007)

259. (with H. Eriksson, F. Petrov, and D. Romik) Integrals, partitions
and MacMahon's theorem. JCT(A) 114:545-554 (2007)

260. (with B. Berndt) Your hit parade: The top ten most fascinating
formulas from Ramanujan's Lost Notebook. AMS Notices 55(1):18-30 (2008)

261. Partitions with initial repetitions. Acta Math. Sinica, English
Series 25(9):1437-1442 (2009)

262. (with O. Warnaar) The Bailey transform and false theta functions.
Ramanujan J. 14:173-188 (2007)

263. Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks.
Inventiones Math. 169:37-73 (2007)

264. A survey of multipartitions: Congruences and identities. In
Surveys
in Number Theory, K. Alladi, ed., Developments in Mathematics, vol. 17,
pp. 1-19. Springer (2008)

265. Euler's "De Partitio Numerorum." Bulletin AMS 44(4):561-573 (2007)

266. The number of smallest parts in the partitions of n. J. Reine
Angew. Math. 624:133-142 (2008)

267. The theory of compositions, IV: Multicompositions. The Mathematics
Student (Special Centenary Volume):25-31 (2007)

268. (with S. Corteel and C. D. Savage) On q-series identities arising
from lecture hall partitions. International J. Number Theory
5(2):327-337 (2009)

269. The finite Heine transformation. Combinatorial Number Theory:
Proceedings of Integers Conference 2007, De Gruyter Proceedings in
Mathematics, B. Landman et al., eds., pp. 1-6. De Gruyter, 2009. Also
available at: http://www.integers-ejcnt.org/vol9supp.html

270. Parity in partition identities. Ramanujan Journal 23:45-90 (2010).
See also Combinatory Analysis Dedicated to George Andrews, Developments
in Mathematics 32, K. Alladi et al., eds., pp. 43-88. Springer, 2013

271. Partitions with distinct evens. Advances in Combinatorial
Mathematics, Proceedings of the Waterloo Workshop in Computer Algebra
2008, I. Kotsireas and E. Zima, eds., pp. 31-37. Springer, 2009

272. (with L. Littlejohn) A combinatorial interpretation of the
Legendre-Stirling numbers. Proceedings AMS 137(8):2581-2590 (2009)

273. (with M. D. Hirschhorn and J. A. Sellers) Arithmetic properties of
partitions with even parts distinct. Ramanujan Journal 23:169-181
(2010). See also Combinatory Analysis Dedicated to George Andrews,
Developments in Mathematics 32, K. Alladi et al. eds., p.167-179.
Springer, 2013

274. The meaning of Ramanujan now and for the future. Ramanujan Journal
20:257-273 (2009)

275. q-Catalan identities. In
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Mathematical Sciences, K. Alladi, J. R. Klauder, and C. R. Rao, eds.,
pp. 183-190. Springer, New York, 2010

276. On Shapiro's Catalan convolution. Advances in Appl. Math. 46:15-24
(2011)

277. Concave compositions. Electronic Journal of Combinatorics 18(2):
P6
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278. q-Orthogonal
polynomials, Rogers-Ramanujan identities, and mock
theta functions. Proceedings of the Steklov Institute Dedicated to the
75th Birthday of A. A. Karatsuba, 276:21-32 (2012)

279. (with J. Bell) Euler's pentagonal number theorem and the
Rogers-Fine identity. Annals of Combin., 3 16:411-420 (2012).
http://dx.doi.org/10.1007/s00026-012-0139-4

280. Partitions with early conditions. In Advances in Combinatorics,
Waterloo Workshop in Computer Algebra, W80, May 26-29, 2011, I. S.
Kotsireas & E. V. Zima, eds., pp.57-76. Springer (2013)

281. (with S. Rose) MacMahon's sum-of-divisors functions, Chebyshev
polynomials, and quasi-modular forms. J. Reine Angew. Math., 2013
676:97-103 (2013). doi.org/10.1515/CRELLE.2011.179

282. Differences of partition functions: The anti-telescoping method.
In
From Fourier Analysis and Number Theory to Radon Transforms and
Geometry - In Memory of Leon Ehrenpreis, Developments in Mathematics,
Vol. 28, H. M. Farkas, R. C. Gunning, M. I. Knopp & B. A. Taylor,
eds., pp. 1-20. Springer, 2013.

283. (with W. Gawronski and L. Littlejohn) The Legendre-Stirling
numbers. Discrete Mathematics 311:1255-1272 (2011)

284. Concave and convex compositions. Ramanujan Journal 31: 67-82
(2013)
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285. Basis partition polynomials, overpartitions and the
Rogers-Ramanujan identities. Journal of Approximation Theory 197: 62-68
(2015)

286. (with C. Savage and H. Wilf) Hypergeometric identities associated
with statistics on words. In Advances in Combinatorics, Waterloo
Workshop in Computer Algebra, W80, May 26-29, 2011, I. S. Kotsireas
& E. V. Zima, eds., pp.77-100. Springer (2013)

287. (with F. Garvan and J. Liang) Combinatorial interpretations of
congruences for the spt
function. Ramanujan Journal 29(1-3):321-338
(2012) See also: http://www.springerlink.com/content/117481358788m387

288. (with M. Merca) The truncated pentagonal number theorem. JCT(A)
119:1639-1643 (2012)

289. (with F. Garvan and J. Liang) Self-conjugate vector partitions and
the parity of the spt-function.
Acta Arithmetica 158 3:199-218 (2013)
doi.org/10.4064/aa158-3-1

290. (with R. Rhoades and S. Zwegers) Modularity of the concave
composition generating function. Algebra & Number Theory
7(9):2103-2139 (2013)

291. (with E. Egge, W. Gawronski, and L. Littlejohn) The
Jacobi-Stirling
numbers. JCT(A) 120:288-303 (2013)

292. (with S. H. Chan and B. Kim) The odd moments of ranks and cranks.
JCT(A) 120:77-91 (2013)

293. Partitions. Combinatorics, Ancient and Modern, J. J. Watkins and
R.
Wilson, eds., pp. 205-229. Oxford University Press, Oxford, UK (2013)

294. Knots and q-series. In
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RAMANUJAN 125, International Conference to Commemorate the 125th
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295. Bailey pairs with free parameters, mock theta functions and
tubular
partitions. Ann. Combin. 18:563-578 (2014)
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296. (with F. Dyson and R. C. Rhoades) On the distribution of the spt
-crank. Mathematics 2013, 1(3), 76-88; doi.org/10.3390/math1030076 -
published online 28 June 2013.

297. (with K. Alladi) The dual of Göllnitzs (big) partition theorem.
Ramanujan J. 36: 171-201 (2015) DOI 10.1007/s11139-014-9617-0

298. (with V. Jelínek) On q-series
identities related to self-dual
interval orders. European J. Combin. 39:178-187 (2014)

299. (with S. H. Chan, B. Kim, and R. Osburn) The first positive rank
and crank moments for overpartitions. Ann. Combin, 20:193-207
(2016)

DOI 10.1007/s00026-016-0306-0.

300. (with J. Sellers and A. Fraenkel) Characterizing the number of
m-ary partitions modulo m. Amer. Math. Monthly 122/9:
880-885 (2015)

301. (with K. Bringmann and K. Mahlburg) Double series representations
for Schur's partition function and related identities. JCT(A) 132:
102-119 (2015)

302. (with J. Sellers) Congruences for the Fishburn numbers.
J. Number Theory 161: 298-310 (2016)
doi.org/10.1016/j.jnt.2014.10.001

303. Singular overpartitions. Intern. Jour. Number Theory 11(5):
1523-1533 (2015)

304. Bressoud polynomials, Rogers-Ramanujan type identities, and
applications. Ramanujan J. 41, no.1-3: 287-304 (2016)

305. (with M. Beck and N. Robbins) Partitions with fixed differences
between larger and smaller parts. Proc. Amer. Math. Soc.,
143(10): 4283-4289 (2015)

306. (with S. Hall) Partition identities with mixed modular
forms. J. Number Theory 158: 356-364 (2016).
doi.org/10.1016/j.jnt.2015.06.022

307. (with G. Simay) The mth
largest and mth smallest
parts of a
partition. Annals of Combinatorics, 20: 635-640 (2016) DOI
10.1007/s00026-016-0333-x

308. (with E. Brietzke, O. J. Rodseth, and J. Sellers) Arithmetic
properties of m-ary
partitions without gaps. Annals of Combinatorics, 21:495-506 (2017).

DOI 10.1007/s00026-017-0369-6.

309. (with A. Dixit and A. J. Yee) Partitions associated with the
Ramanujan/Watson mock theta functions. . . Research in Number
Theory,

doi:10.1007/s40993-015-0020-8, published online 08.12.15.

310. A refinement of the Alladi-Schur theorem. Lattice Path Combinatorics and Applications, Dev. in Math. Series, Springer, 2019, pp. 71-77

311. (with D. Passary, J. A. Sellers, and A. J. Yee) Congruences
related to the Ramanujan/Watson mock theta functions. . .

Ramanujan Journal (2017), 43 (2): 347-357. DOI
10.1007/s11139-016-9812-2, published online 10 August 2016.

312. (with A. S. Fraenkel and J. A. Sellers) *m*-ary partitions
with no
gaps: A characterization modulo *m*. Discrete Math.339/1:
283-287 (2016)

313. (with A. J. Yee) Legendre theorems for subclasses of
overpartitions. JCT(A) 144:16-36 (2016), doi
10.1016/j.jcta.2016.06.011.

314. (with E. Deutsch) A note on a method of Erdös and the
Stanley-Elder theorems. Integers 16, A24 (2016)

315. 4-shadows in q-series and the Kimberling Index. (submitted)

316. Symmetric expansions of very well poised basic hypergeometric
series.
Frontiers in Orthogonal polynomials and q-Series, 21-33,

Contemp. Math. Appl. Monogr. Expo. Lect. Notes, 1, World Sci Publ., Hackensack, N. J.,(2018)

317. Euler's partition identity - finite version. The Mathematics
Student, 85, 3-4, (2016)

318. The Alladi-Schur polynomials and their factorization in analytic number theory, Modular Forms and q-Hypergeometric

Series in Honor of Krishna Alladi's 60th Birthday. Springer Proceedings in Mathematics and Statistics, Volume 221 (2017)

doi.org/10.1007/978-3-319-68376-8.

319. (with A. Dixit, D. Schultz, and A. J. Yee) Overpartitions related
to the mock theta function. . . Acta Arithmetica 181, no. 3,

253-286 (2017)

320. The Bhargava-Adiga summation and partitions. J. Indian
Mathematical Society 84, (3-4): 151-160 (2017)

321. (with J. Lawrence) Binary partitions and binary partitions
polytopes. Aequationes Mathematicae 91, 859-869 (2017)

DOI 10.1007/s00010-017-0493-8

322. (with D. Newman) Binary representations and theta functions. Integers 18, Paper No. A34, 8 pp. (2018)

323. Integer partitions with even parts below odd parts and the
mock
theta functions, Annals of Combinatorics, 22, 433-445 (2018)

324. (with B.
Berndt, S. H. Chan, S. Kim, and A. Malik) Four
indentities for third order mock theta functions. (accepted,

Nagoya Math. J.)

325. Euler's partition identity and two problems of
George Beck. The Mathematics Student, 86, 1-2:115-119 (2017)

326. (with M. Merca) Truncated theta series and a problem of Guo and
Zeng, JCTA 154,610-619 (2018)

326.5 (with B.Berndt,A.Malik, S. Kim, SH. Chan) Four Identities for Third Order Mock Theta Functions, Nagoya Mathematical Journal, 174-204 (2018)

327. (with A. J. Yee) Some identities associated with mock theta
function, Ramanujan Journal, 48(2019), 613-622

328. Partitions with parts separated by parity, Annals of Combinatorics, 23(2019), 241-248

329. (with D.Newman) Partitions and the minimal excludant , Annals of Comb.,23(2019), 249-254

330. Symmetric expansions of very well poised basic hypergeometric series, Frontiers in Orthogonal Polynomials and q-Seriess, World Scientific, 21-33 (2018)

331. (with C. Ballantine) Almost partition identities, Proc. Nat. Acad. Sci. (USA), 116, 5428-5436 (2019)

332. Dyson's favorite identity and Chebyshev polynomials of the third and fourth kinds, Annals of Comb., 23(2019), 1-22.

333. How Ramanujan May have Discovered the Mock Theata Functions , Philosophical Transactions for the Royal Society A(2019) 378:20180436

334. (with M. Merca) On the number of even parts in all partitions of n into distinct parts, Annals of Comb., 24(2020), 47-54.

335. (with G.Beck, B.Hopkins) On a Conjecture of Hanna Connecting Distinct Part and Complete Partitions, Annals of Comb., 24(2020), 217-224

336. The Ramanujan-Dyson identities and George Beck's congruence conjectures, Int. J. Number Th.,17(2020), 239-249

337. (with V.Dragovic, M.Radnovic) Combinatorics of periodic ellipsoidal billiards (accepted, Ramanujan Journal)

338.Sequences in Partitions: Double q-Series and the Mock Theata Functions ρ_{3}(q) to appear in Algoritmic Combinatorics-Enumerative Combinatorics, Special Functions and Computer Algebra, Springer, Cham, Switzerland (2020), 25-46

339. Binary and Semi-Fibonacci Partitions ( Journal of Ramanujan Society of Mathematics and Mathematics Sciences, honoring A.K. Agarwal's 70th birthday), 7:1(2019), 01-06

340. (with David Newman) The minimal excludant in integer partitions, Journal of Integer Sequences, 23 (2020) 20.2.3

341. (with Mircea Merca) A new generalization of Stanley's Theorem, The Mathematics Student, Vol 89, NOS 1-2 (2020), 175-180

342. (with G. Simay) Parity Palindrome Compositions, INTEGERS, Vol 21; A85 (2021)

343. Separable integer partitions classes; https://arxiv.org/abs/2008.06469; Trans. Amer.Math.Soc.Ser. B9(2022), 619-647

344. Compositions and Chebyshev polynomials; Baylor Analysis Fest-From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory, Birkhouser, Basel (2021), 01-14

345. (with J.van Ekeren, R.Heluani) The singular support of the Ising model; https://arxiv.org/abs/2005.10769 (Accepted, Int'l Mathematics Research Notices)

346. (with S. Chern) A proof of Lin’s conjecture on inversion sequences avoiding patterns of relation triples, J.Comb. Th.,179(2021),

347. (with S. Battacharjee and M. G. Dastidar) Sequences in partitions (Accepted, Integers)

348. (with S. Chern and Z. Li) On the k-measure of partitions and distinct partitions (submitted)

349. (with M. Dastidar and T. Morrill) A Stanley-Elder Theorem for Cranks and Frobenius Symbols; Research in Number Theory, Vol.7(3), (2021)

350. (with Peter Paule) MacMahon's Partition Analysis XIII: Schmidt type partitions and modular forms, J.Number Th. (2021)

351. (with Matthew Just and Greg Simay), Anti-palindromic compositions, Integers, 21(2021) A85

352. (with J. Sellers and F. Soufan) On the parity of generalized Frobenius partition functions phi_k(n),https://arxiv.org/abs/2201.00215) Australian Mathematical Society

353. Partition identities for two-color partitions, Hardy-Ramanujan Journal, 44(2021), 74-80.

354. Partitions identities for k-regular partition with distinct parts, (submitted)

355. (with T. Amdeberhan and C. Ballantine) Refinements of Beck-type partition identities (accepted, Discrete Mathematics)

356. (with T. Amdebehan and C. Ballantine) Hook length and symplectic content in partitions (submitted)

357. (with W. Keith) A general class of Schmidt theorems, J. Number Th. 247 (2023), 75-99

358. (with M. Dastidar) Unlikely Mobius pairs, Math. Student, 92 (2023) 105-112

359. (with A.Uncu) Sequences in Overpartitions, Ramanujan Journal (accepted).

360. (with J. L. Lopez-Bonilla and S. K. Jha) Sum of Squares, Triangular Numbers and Divisor Sums, Journal of Integer Sequences Vol.26 (2023) Article 23.2.5

361. (with S.Chern) Linked partition ideals and a family of quadruple summations, Journal of Combinatorial Theory, Series A (accepted)

362. (with M.Merca) A further look at the sum of the parts with the same parity in the partitions of $n$, J.Comb.Th., (accepted)

363. (with M. Bachraoui) Differences of overpartition pairs vanishing at certain integers, (submitted)

364. (with T. Amdeberhan, K. Ono and A, Singh) Hook lengths in self-conjugate partitions (in preparation)

365. (with Paule) MacMahon's partition analysis XV: Parity (in preparation)

366. (with T. Amdeberhan and R. Tauraso) Extensions of MacMahon's sums of divisors, Research in the Mathematical Sciences (accepted)

367.(with M. E. Bachraoui) Identities involving partitions with distinct even parts and 4-regular partitions (submitted)

368. (with M. E. Bachraoui) On a formula of the q-SERIES 2k+4ϕ2k+3 and its applications (submitted)

369. (with M. E. Bachraoui) On the generation function of partitions with repeated smallest part

370.(with M. E. Bachraoui) Companions for a classical formula and applications to overpartitions

BOOKS (Author)

Number Theory, W. B. Saunders Co., Philadelphia, PA, 259 pp. (1971),
Reissued, Dover, New York, 1995.

The Theory of Partitions, The Encyclopedia of Mathematics and Its
Applications Series, Addison-Wesley Pub. Co., NY, 300 pp. (1976).
Reissued, Cambridge University Press, New York, 1998.

Partitions: Yesterday and Today, New Zealand Mathematical Society,
Wellington, NZ, 56 pp. (1979)

q-Series: Their Development and Application in Analysis, Number Theory,
Combinatorics, Physics and Computer Algebra, C.B.M.S. Regional
Conference Series in Math, No. 66, American Math. Soc. Providence (1986)

Special Functions, Research Monograph (with R. Askey, Univ. of
Wisconsin and R. Roy, Beloit College), Cambridge University Press;
Cambridge, UK; 300 pp. (1998). Published in Russian 2013.

Integer Partitions (with Kimmo Eriksson), Cambridge University Press,
Cambridge, UK; 152 pp. (2004) Errata
download

Ramanujan's Lost Notebook, Part I (with Bruce Berndt, University of
Illinois), Springer, New York, 437 pp. (2005)

Ramanujan's Lost Notebook, Part II (with Bruce Berndt), Springer, New
York, 420 pp. (2009)

Ramanujan's Lost Notebook, Part III (with Bruce Berndt), Springer, New
York, 435 pp. (2012)

Ramanujan's Lost Notebook, Part IV (with Bruce Berndt), Springer, New
York, 439 pp. (2013)

The Selected Works of George E. Andrews: With Commentary, edited by
Andrew V. Sills, Imperial College Press, London, UK; 1012 pp. (2013)

Ramanujan's Lost Notebook, Part V (with Bruce Berndt), Springer, New York, 430 pp. (2018)

BOOKS (Editor)

The Collected Papers of P. A. MacMahon, Vol. I, MIT Press, Cambridge,
MA, 1464 pp. (1979)

The Collected Papers of P. A. MacMahon, Vol. II, MIT Press, Cambridge,
MA, 952 pp. (1986)

Chapter Notes for N. J. Fine's Basic Hypergeometric Series, Surveys in
Math., No. 27, Amer. Math. Soc., Providence (1988)

Ramanujan Revisited, Academic Press, New York, 1988.

The Rademacher Legacy, Contemp. Math., Vol. 166, 1994.

Askey-Olver Volume of S.I.A.M. J. Math., Vol. 25, 1994.

Topics in Number Theory in Honor of B. Gordon and S. Chowla,
Mathematics and Its Applications, volume 467 (with S. Ahlgren and K.
Ono). Kluwer, Boston, 258 pp. (1999).

Analytic Number Theory, Modular Forms and q-Hypergeometric Series, Proceedings of the Gainesville Number Conference (ALLADI 60) in honor of Krishna Alladi's

60th birthday, eds. G. Andrews & F. Garvan. Springer Proceedings in Mathematics and Statistics, 221(2017).

MATHEMATICAL REVIEWS, HANDBOOKS, PREFACES, and OBITUARIES

(book review) The Collected Papers of Alfred Young, 1873-1940, edited
by G. Robinson, Univ. of Toronto Press, Toronto 684 pp. (1977). Bull.
Amer. Math. Soc. 1(16):980-997 (1979)

(book review) q-Hypergeometric Functions and Applications, H. Exton, E.
Horwood Series Mathematics and Its Applications, Halsted Press,
Chichester, 347 pp. (1983). Bull. London Math. Soc. 16:332-335 (1984)

(book review) Enumerative Combinatorics, Vol. I, Richard P. Stanley,
Wadsworth and Brooks/Cole, Monterey, xi + 306 pp. (1986). Bull. Amer.
Math. Soc. 17:360-365 (1987)

(book review) Pi and the A.G.M., J. M. and P. B. Borwein, Wiley, NY, xi
+ 414 pp. (1987). Bull. Amer. Math. Soc. 22:198-201 (1990)

(book review) Basic Hypergeometric Series, G. Gasper and M. Rahman,
Cambridge University Press, Cambridge, xx + 287 pp. (1990). Amer. Math.
Monthly, 98:282-285 (1991)

(book review) Ramanujan's Notebooks, Part III, Bruce C. Berndt,
Springer-Verlag, New York, 510 pp. (1991). Math. Intelligencer
16(3):69-71 (1994)

(book review) generatingfunctionology, Herbert S. Wilf, Academic Press,
Boston, 228 pp., (1994). S.I.A.M. Discrete Math Newsletter 5(1): 1-2
(1994)

(book review) Mathematical Thinking and Problem Solving, Alan H.
Schoenfeld, Erlbaum Associates, Hillsdale, NJ, 339 pp. (1994). Amer.
Scientist 84:302-303 (1996)

(book review) Ramanujan: Letters and Commentary, Bruce C. Berndt and
Robert A. Rankin, American Math. Society, London Math. Society,
Providence, xiv + 347 pp. (1995). Current Science 75(10):1079-1080
(1998)

(book review) Elements of the Theory of Numbers, J.B. Dence and T. P.
Dence, Academic Press, San Diego, 1999, 517 pp. Missouri Journal of
Mathematical Sciences 12(1):48-49 (2000)

(book review) Enumerative Combinatorics, Vol. 2, Richard P. Stanley,
Cambridge University Press, 581 pp. (1999). Bull. London Math. Soc.
32:622-624 (2000)

(book review) Mathematics Education Research: A Guide for the Research
Mathematician, C. McKnight, A. Magid, T.J. Murphy, and M. McKnight,
AMS, 106 pp. Amer. Math. Monthly, 108:281-285 (2001)

(preface) Infinite families of exact sums of squares formulas, Jacobi
elliptic functions, continued fractions, and Schur functions by S.
Milne. Ramanujan Journal 6(1):5-6 (2002)

(preface) Teaching in the MASS program. MASS Selecta Teaching and
Learning Advanced Undergraduate Mathematics, eds. S. Katok, A.
Sossinsky and S. Tabachnikov, 7-8. AMS, Providence (2003)

(commentary) (with K, Ono) Ramanujan's congruences and Dyson's crank.
Proc. Nat, Acad. Sci. 102 (43), 15277 (2005)

(foreword) (in Hindi) Great Mathematician: Srinivas Ramanujan by
Narenda Kumar Govil and Bhudev Sharma, 9-10. Prabhat Prakashan, New
Delhi (2005)

(preface) (with G. Gasper and S. Suslov) Special issue of the Ramanujan
Journal in honor of R. Askey's 70th birthday. Ramanujan Journal 13:5-6
(2007)

(obituary) (with R. C. Corless, D. J. Jeffrey, A. R. Pears, and J.
Sheehan) EDWARD MAITLAND WRIGHT 1906-2005. Bull. London Math. Soc.
39:857-865 (2007

(handbook chapter) q-Hypergeometric and Related Functions (Chapter 17)
in NIST Handbook of Mathematical Functions, F. W. J. Olver, D. W.
Lozier, R. F. Boisvert, and C. W. Clark, eds., pp. 419-433. Cambridge
University Press, 2010.

(preface) (with K. Alladi and J. Borwein) Ramanujan J. 29 (Ramanujan's
125th Anniversary Special Volume), no. 1-3:1-2 (2012)

(commentary) My Friend, Hansraj Gupta. In Collected Papers of Hansraj
Gupta, Collected Works Series No. 3, Vol. I, R. J. Hans-Gill and M.
Raka, eds., xix-xxiv. Ramanujan Mathematical Society (2013)

(commentary) Drowning in the Data Deluge, Notices American Math Society
59 (7), 933-941 (2012). Reprinted in Chinese, Mathematics 1:67-76
(2013).

(mathematical review) Partitions and the Rogers-Ramanujan Identities,
Notices American Math Society 59 (11), 1528-1531 (2012)

(history) The Discovery of Ramanujan's Lost Notebook, The Legacy of
Srinivasa Ramanujan, RMS Lecture Notes Series No. 20:77-88 (2013)

(obituary) (with K. Alladi, R. Guralnick, K. Ono, and B. Rothschild)
Remembering Basil Gordon, 1931-2012. Notices Amer. Math. Soc. 60
(7):856-865 (2013)

(preface) (with K. Alladi, K. Ono, and S. Robins) Preface to Ramanjuan
Journal 36 (Special Issues in Memory of Basil Gordon), pp. 1-2 (2015)
DOI 10.1007/s11139-014-9658-4

(letter to the editor) American Math. Monthly, 121 (10), p. 957 (2014)
in which it is noted that a theorem of Chen-Choi is actually a special
case of a theorem of N. J. Fine.

(film review) *The Man Who Knew Infinity*: A Report on the Movie,
Notices
Amer. Math. Soc. 63 (2):178-180 (2016)

(foreword) __Combinatorial Identities for Stirling
Numbers, The Unpublished Notes of H. W. Gould__ by J.
Quaintance
and H. W. Gould, vii-viii. World Scientific, Singapore, 2016.

(essay) The Göllnitz-Gordon Identities. (in
preparation)

(foreword) Topics and Methods in q-Series, James McLaughlin, with a foreword by George E. Andrews. Monographs in Number Theory, 8. World Scientific

Publishing Company (2018)

(foreword) An invitation to the Rogers-Ramanujan Identities, Andrew V. Sills, with a foreword by George E. Andrews. CRC Press, Boca Raton, FL (2018)

MATHEMATICS EDUCATION ESSAYS

(essay) The Death of Proof? Semi-Rigorous Mathematics? You've Got to Be
Kidding! Math. Intelligencer 16(4):16-18 (1994)

(essay) The Irrelevance of Calculus Reform: Ruminations of a
Sage-on-the-Stage. UME Trends 6(6): 17 and 23 (1995). Reprinted (with
permission) Virginia Mathematics Teacher 22(3):5-6 (1996)

(essay) Commentary on Assessment Standards for School Mathematics.
Notices of AMS 44(4):458-462 (1997)

(essay) Mathematical Education: A Case for Balance. The College
Mathematics Journal 27(5):341-355 (1996)

(note) The Geometric Series in Calculus. Amer. Math. Monthly 105(1):
36-40 (1998)

(essay) Calculus Reform & the Role of Technology in the Classroom.
Mathematics & Technology in the Classroom 4(1) (1997)

(essay) Calculators and Reform: Up Close and Personal. Rendezvous Idaho
State University Journal of Arts & Letters 38(1) (2003)