Peer Reviewed Publications by Andrew V. Sills

No.	Coauthors	Title	Journal/Publication	Volume	year	pages	PDF
1	J. P. O. Santos	q-Pell sequences and two identities of V.A. Lebesgue	Discrete Mathematics	257	2002	125-143	preprint DOI
2		Finite Rogers-Ramanujan type identities	Electronic Journal of Combinatorics	10(1)	2003	#R13, 122 pp.	arXiv download from EJC
3	James Sellers & Gary Mullen	Bijections and congruences for generalizations of partition identities of Euler and Guy	Electronic Journal of Combinatorics	11(1)	2004	#R43, 19 pp.	download from EJC
4		RRtools---a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities	Journal of Symbolic Computation	37	2004	415-448	preprint DOI
5		A combinatorial proof of a partition identity of Andrews and Stanley	International Journal of Mathematics and Mathematical Sciences	2004	2004	2495-2503	arXiv DOI
6		On identities of the Rogers-Ramanujan type	Ramanujan Journal	11	2006	403-429	arXiv DOI
7		On series expansions of Capparelli's infinite product	Advances in Applied Mathematics	33	2004	397-408	arXiv DOI
8		Identities of the Rogers-Ramanujan-Bailey type	Journal of Mathematical Analysis and Applications	308	2005	669-688	arXiv DOI
9		q-Difference Equations and identities of the Rogers-Ramanujan-Bailey type	Journal of Difference Equations and Applications	10	2004	1069-1084	arXiv DOI
10	Doron Zeilberger	Disturbing the Dyson conjecture (in a GOOD way)	Experimental Mathematics	15	2006	187-191	arXiv DOI
11		On simplifications of certain q-multisums	Advances in Applied Mathematics	39	2007	260-268	arXiv DOI
12		Disturbing the Dyson conjecture in a generally GOOD way	Journal of Combinatorial Theory, Series A	113	2006	1368-1380	arXiv DOI
13		Identities of the Rogers-Ramanujan-Slater type	International Journal of Number Theory	3	2007	293-323	arXiv DOI
14		A partition bijection related to the Rogers-Selberg identities and Gordon's theorem	Journal of Combinatorial Theory, Series A	115	2008	67-83	arXiv DOI
15	Doug Bowman and James McLaughin	Some more identities of Rogers-Ramanujan type	Ramanujan Journal	18	2009	307-325	arXiv DOI
16		Disturbing the q-Dyson conjecture	Tapas in Experimental Mathematics, in Contemporary Mathematics	457	2008	261-271	arXiv
17	James McLaughlin	Ramanujan-Slater type identities related to the moduli 18 and 24	Journal of Mathematical Analysis and Applications	344	2008	765-777	arXiv DOI
18		On the ordinary and signed Göllnitz-Gordon partitions	South East Asian Journal of Mathematics and Mathematical Sciences	6	2008	63-68	arXiv
19	James McLaughlin	Combinatorics of Ramanujan-Slater type identities	INTEGERS: Electronic Journal of Combinatorial Number Theory	9 (S)	2009	Article 10, 14 pp.	arXiv e-print
20	James McLaughlin & Peter Zimmer	Lifting Bailey pairs to WP Bailey pairs	Discrete Mathematics	309	2009	5077-5091	arXiv DOI
21	James McLaughlin & Peter Zimmer	Rogers-Ramanujan computer searches	Journal of Symbolic Computation	44	2009	1068-1078	arXiv DOI
22	James McLaughlin & Peter Zimmer	Rogers-Ramanujan-Slater type identities	Electronic Journal of Combinatorics	15	2008	DS#15, 59pp.	updated version on arXiv; original 2008 and updated 2022 versions
23		A Rademacher-type formula for partitions and overpartitions	International Journal of Mathematics and Mathematical Sciences	2010	2010	Article ID 630458, 21 pp.	preprint arXiv e-print
24		The Apostles and brothers of Jesus	The Tomb of Jesus and His Family?: Exploring Ancient Jewish Tombs Near Jerusalem's Walls, ed. J. H. Charlesworth and A. Boulet, Eerdsmans, 2013. ISBN 978-0-8028-6745-2.		2013		preprint
25	Sylvie Corteel & Carla Savage	Lecture hall sequences, q-series, and asymmetric partition identities	Partitions, q-Series, and Modular Forms, ed. K. Alladi and F. Garvan, Springer, 2012. Developments in Mathematics, Vol. 23. ISBN 978-1-4614-0027-1.		2012	53-68	preprint DOI
26		Towards an automation of the circle method	Gems in Experimental Mathematics, in Contemporary Mathematics	517	2010	321-338	arXiv
27		Rademacher-type formulas for restricted partition and overpartition functions	The Ramanujan Journal Published by www.springer.com	23	2010	253-264	preprint DOI
28	James McLaughlin & Peter Zimmer	Some implications of Chu's 10ψ10 generalization of Bailey's 6ψ6 summation formula	Online Journal of Analytic Combinatorics	5	2010	24 pp.	free download arXiv
29	Carla Savage	On an identity of Gessel and Stanton and the new Little Göllnitz identities	Advances in Applied Mathematics	46	2011	563-575	preprint DOI
30	James McLaughlin	On a pair of identities from Ramanujan's lost notebook	Annals of Combinatorics	16	2012	591-607	arXiv DOI
31	James McLaughlin	Polynomial generalizations of two-variable Ramanujan type identities	Electronic Journal of Combinatorics	18(2)	2011	#P15, 10 pp.	e-print arXiv
32	Dennis A. Eichhorn and James McLaughlin	Hybrid proofs of the q-binomial theorem and other identities	Electronic Journal of Combinatorics	18(1)	2011	#P60, 21 pp.	e-print arXiv
33		Compositions, partitions, and Fibonacci numbers	The Fibonacci Quarterly	40	2011	348-354	preprint arXiv
34	Hua Wang	On the maximal Wiener index and realted questions	Discrete Applied Mathematics	160	2012	1615-1623	DOI
35	Doron Zeilberger	Formulæ for the number of partitions of n into at most m parts, using the quasi-polynomial ansatz	Advances in Applied Mathematics	48	2012	640-645	preprint at the arXiv and at DZ's page DOI
36	Doron Zeilberger	Rademacher's infinite partial fraction conjecture is (almost certainly) false	Journal of Difference Equations and Applications	19	2013	680-689	preprint at the arXiv and at DZ's page DOI
37	Hua Wang	The minimal number of subtrees of a tree	Graphs and Combinatorics	19	2015	255-264	DOI
38	Linus Lindroos & Hua Wang	Odd Fibbinary numbers and the golden ratio	The Fibonacci Quarterly	52	2014	61-65	preprint arXiv
39	Yuriy Choliy	A formula for the partition function that "counts"	Annals of Combinatorics	20	2016	301-316	arXiv DOI
40	Shashank Kanade, James Lepowsky, and Matthew C. Russell	Ghost series and a motivated proof of the Andrews-Bressoud identities	Journal of Combinatorial Theory, Series A	146	2016	33-62	arXiv DOI
41	Brian Hopkins, Mark Shattuck, Thotsaporn Thanatipanonda, and Hua Wang	Parts and subword patterns in compositions	Journal of Combinatorics and Number Theory	9	2017		preprint
42		A classical q-hypergeometric approach to the A2(2) standard modules	Analytic Number Theory, Modular Forms and q-Hypergeometric Series: in Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016		2018	713-731	arXiv DOI
43	Yuriy Choliy and Louis W. Kolitsch	Partition recurrences	INTEGERS	18B	2018	(Paper A1) 15 pp.	arXiv free download
44		The combinatorics of MacMahon's partial fractions	Annals of Combinatorics	23	2019	1073-1086	arXiv DOI
45	Charles W. Champ	The exponential distribution analog of the Grubbs-Weaver method	Communications in Statistics: Theory and Methods	49	2020	1894-1903	arXiv DOI
46		Integer partitions probability distributions	Communications in Statistics: Theory and Methods	50	2021	3556-3563	arXiv DOI
47	Robert Schneider	The product of parts or "norm" of a partition	INTEGERS	20A	2020	Paper A13, 16 pp.	arXiv
48	Robert Schneider	Analysis and combinatorics of partition zeta functions	International Journal of Number Theory	17	2021	805-814	arXiv DOI
49		A refinement of the binomial distribution using the quantum binomial theorem	Communications in Statistics: Theory and Methods	52	2023	294-308	DOI arXiv
50	George Andrews and Jürg Fröhlich	In Memoriam: Freeman Dyson (1923-2020)	Notices of the American Mathematical Society	68	2021	1140-1155	PDF
51	Charles Champ	Process, Population, and sample: the researcher's interest	Applied Mathematical Analysis and Computation---First Southern Georgia Mathematics Conference, Statesboro, USA, April 2-3, 2021 (virtual), Springer		2024		arXiv
52		Integer partitions and the Wilcoxon rank-sum statistic	Communications in Statistics: Theory and Methods	53	2024	8954–8963	DOI
53		A refinement of the multinomial distribution with application	Applied Mathematical Analysis and Computation---First Southern Georgia Mathematics Conference, Statesboro, USA, April 2-3, 2021 (virtual), Springer		2024	225-242
54	A.P.Akande, M.D.Hendon, N.Pulagam, R.Schneider, et al.	Computational study of non-unitary partitions	Journal of the Ramanujan Mathematical Society	38	2023	121--128	arXiv
55	Robert Schneider	Combinatorial formulas for arithmetic density	INTEGERS	22	2022	Paper A.63, 7 pp.	arXiv PDF
56	Charles Champ	The generalized law of total variance and total covariance	Applied Mathematical Analysis and Computation---First Southern Georgia Mathematics Conference, Statesboro, USA, April 2-3, 2021 (virtual), Springer		2024	243-254
57	Robert Schneider	Composition theoretic series in partition theory	Ramanujan Journal	65	2024	1863--1881	arXiv DOI
58	William Keith and Robert Schneider	Composition theoretic series and false theta functions	INTEGERS; republished in Combinatorial Number Theory, De Gruyter 2025.	24A	2024	Paper A11, 19 pp.	PDF DOI
59	M. G. Schneider, C. McCarthy, M. Maxwell, J. Pfeffer, R. Schneider	Mathematics of the MML functional quantizer modules for VCV Rack software synthesizer	Infinite Loop	1	2024	3 pp.	arXiv PDF
60		Generalized Carlos Scales	submitted				arXiv