A supercongruence relation among Ap
Volume 163 / 2021
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.