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A supercongruence relation among Ap

Volume 163 / 2021

Ji-Cai Liu Colloquium Mathematicum 163 (2021), 333-340 MSC: 11A07, 11B68, 05A19. DOI: 10.4064/cm8108-4-2020 Published online: 31 August 2020

Abstract

In 2006, Kimoto and Wakayama discussed a kind of Apéry-like numbers arising from the spectral zeta functions associated to the non-commutative harmonic oscillator. In this paper, we establish a supercongruence relation between this kind of Apéry-like numbers and the famous Apéry numbers.

Authors

  • Ji-Cai LiuDepartment of Mathematics
    Wenzhou University
    Wenzhou 325035, P.R. China
    e-mail

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