Rogers-Ramanujan computer searches

James McLaughlin; Andrew V. Sills; Peter Zimmer

doi:10.1016/j.jsc.2009.02.003

Rogers-Ramanujan computer searches

James McLaughlin, Andrew V. Sills, Peter Zimmer

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of identities of Rogers-Ramanujan type and identities of false theta functions.

Original language	English
Pages (from-to)	1068-1078
Number of pages	11
Journal	Journal of Symbolic Computation
Volume	44
Issue number	8
DOIs	https://doi.org/10.1016/j.jsc.2009.02.003
State	Published - Aug 2009

Scopus Subject Areas

Algebra and Number Theory
Computational Mathematics

Keywords

Bailey pairs
False theta functions
Rogers-Ramanujan identities
q-WZ certification
q-Zeilberger algorithm
q-series

Access to Document

10.1016/j.jsc.2009.02.003

Cite this

@article{55e23962deb64146bf2267ab0038e0a8,

title = "Rogers-Ramanujan computer searches",

abstract = "We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of identities of Rogers-Ramanujan type and identities of false theta functions.",

keywords = "Bailey pairs, False theta functions, Rogers-Ramanujan identities, q-WZ certification, q-Zeilberger algorithm, q-series",

author = "James McLaughlin and Sills, \{Andrew V.\} and Peter Zimmer",

year = "2009",

month = aug,

doi = "10.1016/j.jsc.2009.02.003",

language = "English",

volume = "44",

pages = "1068--1078",

journal = "Journal of Symbolic Computation",

issn = "0747-7171",

publisher = "Academic Press",

number = "8",

}

TY - JOUR

T1 - Rogers-Ramanujan computer searches

AU - McLaughlin, James

AU - Sills, Andrew V.

AU - Zimmer, Peter

PY - 2009/8

Y1 - 2009/8

N2 - We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of identities of Rogers-Ramanujan type and identities of false theta functions.

AB - We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of identities of Rogers-Ramanujan type and identities of false theta functions.

KW - Bailey pairs

KW - False theta functions

KW - Rogers-Ramanujan identities

KW - q-WZ certification

KW - q-Zeilberger algorithm

KW - q-series

UR - https://www.scopus.com/pages/publications/67349283414

U2 - 10.1016/j.jsc.2009.02.003

DO - 10.1016/j.jsc.2009.02.003

M3 - Article

SN - 0747-7171

VL - 44

SP - 1068

EP - 1078

JO - Journal of Symbolic Computation

JF - Journal of Symbolic Computation

IS - 8

ER -

Rogers-Ramanujan computer searches

Abstract

Scopus Subject Areas

Keywords

Access to Document

Other files and links

Cite this