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arXiv · 2111.13994

Bressoud's identities for even moduli. New companions and related positivity results

Alexander Berkovich
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Abstract

I revisit Bressoud's generalised Borwein conjecture. Making use of certain positivity-preserving transformations for q-binomial coefficients, I establish the truth of infinitely many new cases of the Bressoud conjecture. In addition, I prove new doubly-bounded refinement of the Foda-Quano identities. Finally, I discuss new companions to the Bressoud even moduli identities. In particular, all 10 mod 20 identities are derived.

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Alexander Berkovich. 2021-11-27. Bressoud's identities for even moduli. New companions and related positivity results. https://arxiv.org/abs/2111.13994

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