Academic Papers 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
e-print via Science Direct
2

Finite Rogers-Ramanujan type identities
Electronic Journal of Combinatorics
10(1)
2003
#R13, 122 pp.
e-print
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.
e-print
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
e-print via Science Direct
5

A combinatorial proof of a partition identity of Andrews and Stanley
International Journal of Mathematics and Mathematical Sciences
2004
2004
2495-2503
preprint
e-print
6

On identities of the Rogers-Ramanujan type
Ramanujan Journal
11
2006
403-429
preprint e-print via SpringerLink
7

On series expansions of Capparelli's infinite product
Advances in Applied Mathematics
33
2004
397-408
preprint
e-print via Science Direct
8

Identities of the Rogers-Ramanujan-Bailey type
Journal of Mathematical Analysis and Applications
308
2005
669-688
preprint
e-print via ScienceDirect
9

q-Difference Equations and identities of the Rogers-Ramanujan-Bailey type
Journal of Difference Equations and Applications
10
2004
1069-1084
preprint
10
Doron Zeilberger
Disturbing the Dyson conjecture (in a GOOD way)
Experimental Mathematics
15
2006
187-191
e-print
11

On simplifications of certain q-multisums
Advances in Applied Mathematics 39
2007
260-268
preprint
e-print via ScienceDirect
12

Disturbing the Dyson conjecture in a generally GOOD way
Journal of Combinatorial Theory, Series A
113
2006
1368-1380
preprint
e-print via ScienceDirect
13

Identities of the Rogers-Ramanujan-Slater type
International Journal of Number Theory
3
2007
293-323
preprint
e-print via WorldSciNet
14

A partition bijection related to the Rogers-Selberg identities and Gordon's theorem
Journal of Combinatorial Theory, Series A 115
2008
67-83
preprint
e-print via ScienceDirect
15
Doug Bowman and James McLaughin
Some more identities of Rogers-Ramanujan type
Ramanujan Journal
18
2009
307-325
preprint
e-print via SpringerLink
16

Disturbing the q-Dyson conjecture
Tapas in Experimental Mathematics, in Contemporary Mathematics
457
2008
261-271
preprint
17
James McLaughlin
Ramanujan-Slater type identities related to the moduli 18 and 24
Journal of Mathematical Analysis and Applications 344
2008
765-777
preprint
e-print via ScienceDirect
18

On the ordinary and signed Göllnitz-Gordon partitions
South East Asian Journal of Mathematics and Mathematical Sciences
6
2008
63-68
preprint
19
James McLaughlin
Combinatorics of Ramanujan-Slater type identities
INTEGERS: Electronic Journal of Combinatorial Number Theory
9 (S)
2009
Article 10, 14 pp.
preprint
e-print
20
James McLaughlin & Peter Zimmer
Lifting Bailey pairs to WP Bailey pairs
Discrete Mathematics
309
2009
5077-5091
preprint
e-print via ScienceDirect
21
James McLaughlin & Peter Zimmer
Rogers-Ramanujan computer searches
Journal of Symbolic Computation
44
2009
1068-1078
preprint
e-print via ScienceDirect
22
James McLaughlin & Peter Zimmer
Rogers-Ramanujan-Slater type identities
Electronic Journal of Combinatorics 15
2008
DS#15, 59pp.
e-print
23

A Rademacher-type formula for partitions and overpartitions
International Journal of Mathematics and Mathematical Sciences 2010
2010
Article ID 630458, 21 pp.
preprint
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
26

Towards an automation of the circle method
Gems in Experimental Mathematics, in Contemporary Mathematics
517 2010
321-338
preprint

27

Rademacher-type formulas for restricted partition and overpartition functions The Ramanujan Journal
Published by www.springer.com
23
2010
253-264
preprint
e-print via SpringerLink
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.
e-print
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
e-print via ScienceDirect
30
James McLaughlin
On a pair of identities from Ramanujan's lost notebook
Annals of Combinatorics 16
2012
591-607
eprint via SpringerLink
31
James McLaughlin
Polynomial generalizations of two-variable Ramanujan type identities
Electronic Journal of Combinatorics 18(2)
2011
#P15, 10 pp.
e-print
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
33
Compositions, partitions, and Fibonacci numbers The Fibonacci Quarterly 40
2011
348-354
preprint
34
Hua Wang On the maximal Wiener index and realted questions Discrete Applied Mathematics 160
2012
1615-1623
eprint via ScienceDirect
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
e-print via ScienceDirect
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
ePrint
37
Hua Wang The minimal number of subtrees of a tree Graphs and Combinatorics 19
2015
255-264
ePrint via SpringerLink
38
Linus Lindroos & Hua Wang Odd Fibbinary numbers and the golden ratio The Fibonacci Quarterly 52
2014
61-65
preprint
39
Yuriy Choliy A formula for the partition function that "counts" Annals of Combinatorics to appear


preprint
40
Shashank Kanade, James Lepowsky, and Matthew C. Russell Ghost series and a motivated proof of the Andrews-Bressoud identities submitted


preprint