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) to appear


arXiv
52
Integer partitions and the Wilcoxon rank-sum statistic Communications in Statistics: Theory and Methods to appear


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) to appear


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) to appear


57
Robert Schneider Composition theoretic series in partition theory Ramanujan Journal to appear


arXiv
DOI
58
William Keith and Robert Schneider Composition theoretic series and false theta funcitons INTEGERS to appear