On the Simplification of Certain q-Multisums

Andrew V. Sills

doi:10.1016/j.aam.2006.06.001

On the Simplification 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	American English
Journal	Advances in Applied Mathematics
Volume	39
DOIs	https://doi.org/10.1016/j.aam.2006.06.001
State	Published - Aug 1 2007

Disciplines

Education
Mathematics

Keywords

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

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title = "On the Simplification of Certain q-Multisums",

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KW - Andrews-Gordon identities

KW - Basic hypergeometric series

KW - Combinatorial identities

KW - Rogers-Ramanujan identities

KW - q-series

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JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

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On the Simplification of Certain q-Multisums

Abstract

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Keywords

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