Mathematica packages by Andrew Sills

Name
Accompanies
Package
Examples
GoodDyson.m
Sills & Zeilberger, "Disturbing the Dyson conjecture (in a GOOD way)," Experimental Math. 15 (2006) 187-191.
Download
Mathematica 5.2 notebook
NewZeil.m
Mohammed & Zeilberger, "Sharp upper bounds for the orders of the recurrences output by the Zeilberger and q-Zeilberger algorithms," J. Symbolic Comput. 39 (2005) 201-207.
Download
Mathematica 5.2 notebook

Maple packages/worksheets by Andrew Sills

Name
version
Accompanies Documentation Download
RRtools
1.112 (Nov. 1, 2005)
Sills, "Finite Rogers-Ramanujan type Identities,"  Electronic J. Combin. 10(1) (2003) #R13, 122 pp.
Sills, "RRtools---a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities," J. Symbolic Computation 37/4 (2004), 415-448.
download package
recpf
April 9, 2003
Sills, "Finite Rogers-Ramanujan type Identities,"  Electronic J. Combin. 10(1) (2003) #R13, 122 pp. Sills, "RRtools---a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities," J. Symbolic Computation 37/4 (2004), 415-448. download package
Proof of identities in  §3 and §6

Sills, "Finite Rogers-Ramanujan type Identities,"  Electronic J. Combin. 10(1) (2003) #R13, 122 pp.
Maple V R4 worksheets
Euler-Glaisher type bijections

Sellers, Sills, and Mullen, "Bijections and congruences for generalizations of partition identities of Euler and Guy," Electronic J. Combin. 11(1) (2004) #R43, 19 pp.

Maple V R4 worksheet
StanBij.mws

"A combinatorial proof of a partition identity of Andrews and Stanley," Internat. J. Math.  Math. Sci., 2004/47, 2495-2503.

Maple V R4 worksheet
GoodDyson
Nov. 2, 2005
Sills & Zeilberger, "Disturbing the Dyson conjecture (in a GOOD way)," Experimental Math. 15 (2006) 187-191.
download package

examples (Maple 9 worksheet)
qDysonConj
May 27, 2007
"Disturbing the q-Dyson conjecture," Tapas in Experimental Mathematics, ed. Tewodros Amdeberhan and Victor H. Moll, Contemporary Mathematics, vol 457, 265-271. AMS, 2008.

download package








Maple packages by Doron Zeilberger and Andrew Sills
Maple package by Thotsaporn "Aek" Thanatipanonda