On the Kimoto-Wakayama supercongruence conjecture on Apéry-like numbers

DOI10.1007/S00013-024-02062-1MaRDI QIDQ6641670

Jicai Liu

Publication date: 21 November 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

supercongruencesApéry-like numbersWolstenholme's theoremspectral zeta functionsMorley's congruence

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Oscillation theory of functional-differential equations (34K11) Other Dirichlet series and zeta functions (11M41) Congruences; primitive roots; residue systems (11A07) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Note on the congruence \(2^{in}\equiv(-)^n(2n)!/(n!)^2\), where \(2n+1\) is a prime.
• On Wolstenholme's theorem and its converse
• Oscillator representations and systems of ordinary differential equations
• Non-commutative harmonic oscillators-II
• APÉRY-LIKE NUMBERS ARISING FROM SPECIAL VALUES OF SPECTRAL ZETA FUNCTIONS FOR NON-COMMUTATIVE HARMONIC OSCILLATORS
• Non-commutative harmonic oscillators-I
• Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals

This page was built for publication: On the Kimoto-Wakayama supercongruence conjecture on Apéry-like numbers

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6641670)