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Multi-sum Rogers-Ramanujan Type Identities (2205.12786v3)

Published 25 May 2022 in math.NT, math.CA, and math.CO

Abstract: We use an integral method to establish a number of Rogers-Ramanujan type identities involving double and triple sums. The key step for proving such identities is to find some infinite products whose integrals over suitable contours are still infinite products. The method used here is motivated by Rosengren's proof of the Kanade-Russell identities.

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