On a sum of Apéry-like numbers arising from spectral zeta functions
Volume 160 / 2020
Colloquium Mathematicum 160 (2020), 1-6
MSC: 11M41, 11A07, 05A19.
DOI: 10.4064/cm7860-3-2019
Published online: 29 November 2019
Abstract
We prove a congruence for a sum of the Apéry-like numbers which were introduced by Kimoto and Wakayama in 2006, and play an important role in expressions of the special values of the spectral zeta functions associated to the non-commutative harmonic oscillator. This congruence extends a result of Kimoto.
