On a conjecture of Kimoto and Wakayama

Long, Ling; Osburn, Robert; Swisher, Holly

doi:10.1090/proc/13198

On a conjecture of Kimoto and Wakayama
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by Ling Long, Robert Osburn and Holly Swisher PDF

Proc. Amer. Math. Soc. 144 (2016), 4319-4327 Request permission

Abstract:

We prove a conjecture due to Kimoto and Wakayama from 2006 concerning Apéry-like numbers associated to a special value of a spectral zeta function. Our proof uses hypergeometric series and $p$-adic analysis.

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