On certain identities involving Nahm-type sums with double poles

Shashank Kanade; Antun Milas; Matthew C. Russell

doi:10.1016/j.aam.2022.102452

On certain identities involving Nahm-type sums with double poles

Shashank Kanade
, Antun Milas
, Matthew C. Russell

Mathematics and Statistics

University at Albany

University of Denver
Rutgers - The State University of New Jersey, New Brunswick

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

1 Scopus citations

Abstract

We prove certain Nahm-type sum representations for the (odd modulus) Andrews-Gordon identities, the (even modulus) Andrews-Bressoud identities, and Rogers' false theta functions. These identities are motivated on one hand by a recent work of C. Jennings-Shaffer and one of us [18,19] on double pole series, and, on the other hand, by Córdova, Gaiotto and Shao's work [10] on defect Schur's indices.

Original language	English
Article number	102452
Journal	Advances in Applied Mathematics
Volume	143
DOIs	https://doi.org/10.1016/j.aam.2022.102452
State	Published - Feb 2023

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title = "On certain identities involving Nahm-type sums with double poles",

abstract = "We prove certain Nahm-type sum representations for the (odd modulus) Andrews-Gordon identities, the (even modulus) Andrews-Bressoud identities, and Rogers' false theta functions. These identities are motivated on one hand by a recent work of C. Jennings-Shaffer and one of us [18,19] on double pole series, and, on the other hand, by C{\'o}rdova, Gaiotto and Shao's work [10] on defect Schur's indices.",

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AU - Kanade, Shashank

AU - Milas, Antun

AU - Russell, Matthew C.

PY - 2023/2

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N2 - We prove certain Nahm-type sum representations for the (odd modulus) Andrews-Gordon identities, the (even modulus) Andrews-Bressoud identities, and Rogers' false theta functions. These identities are motivated on one hand by a recent work of C. Jennings-Shaffer and one of us [18,19] on double pole series, and, on the other hand, by Córdova, Gaiotto and Shao's work [10] on defect Schur's indices.

AB - We prove certain Nahm-type sum representations for the (odd modulus) Andrews-Gordon identities, the (even modulus) Andrews-Bressoud identities, and Rogers' false theta functions. These identities are motivated on one hand by a recent work of C. Jennings-Shaffer and one of us [18,19] on double pole series, and, on the other hand, by Córdova, Gaiotto and Shao's work [10] on defect Schur's indices.

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U2 - 10.1016/j.aam.2022.102452

DO - 10.1016/j.aam.2022.102452

M3 - Article

SN - 0196-8858

VL - 143

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

M1 - 102452

ER -

On certain identities involving Nahm-type sums with double poles

Abstract

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