On simplifications of certain q-multisums

Andrew V. Sills

doi:10.1016/j.aam.2006.06.001

On simplifications of certain q-multisums

Andrew V. Sills

Mathematical Sciences

Rutgers, The State University of New Jersey

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

Abstract

Some examples of naturally arising multisum q-series which turn out to have representations as fermionic single sums are presented. The resulting identities are proved using transformation formulas from the theory of basic hypergeometric series.

Original language	English
Pages (from-to)	260-268
Number of pages	9
Journal	Advances in Applied Mathematics
Volume	39
Issue number	2
DOIs	https://doi.org/10.1016/j.aam.2006.06.001
State	Published - Aug 2007

Scopus Subject Areas

Applied Mathematics

Keywords

Andrews-Gordon identities
Basic hypergeometric series
Combinatorial identities
Rogers-Ramanujan identities
q-Series

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10.1016/j.aam.2006.06.001

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title = "On simplifications of certain q-multisums",

abstract = "Some examples of naturally arising multisum q-series which turn out to have representations as fermionic single sums are presented. The resulting identities are proved using transformation formulas from the theory of basic hypergeometric series.",

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KW - Andrews-Gordon identities

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KW - Combinatorial identities

KW - Rogers-Ramanujan identities

KW - q-Series

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JO - Advances in Applied Mathematics

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On simplifications of certain q-multisums

Abstract

Scopus Subject Areas

Keywords

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