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arXiv · 2109.01909

On certain identities involving Nahm-type sums with double poles

Shashank Kanade·Antun Milas·Matthew C. Russell
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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 on double pole series, and, on the other hand, by Córdova, Gaiotto and Shao's work on defect Schur's indices.

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Shashank Kanade, Antun Milas, Matthew C. Russell. 2021-09-04. On certain identities involving Nahm-type sums with double poles. https://arxiv.org/abs/2109.01909

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