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On a sum of Apéry-like numbers arising from spectral zeta functions

Volume 160 / 2020

Ji-Cai Liu Colloquium Mathematicum 160 (2020), 1-6 MSC: 11M41, 11A07, 05A19. DOI: 10.4064/cm7860-3-2019 Published online: 29 November 2019


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.


  • Ji-Cai LiuDepartment of Mathematics
    Wenzhou University
    Wenzhou 325035, PR China

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