On a conjecture of Kimoto and Wakayama

DOI10.1090/proc/13198zbMath1402.11111arXiv1404.4723OpenAlexW2951508618WikidataQ123220266 ScholiaQ123220266MaRDI QIDQ2817009

Robert Osburn, Ling Long, Holly Swisher

Publication date: 26 August 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.4723

zbMATH Keywords

Apéry-like numbersspectral zeta functionnon-commutative harmonic oscillator

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items

Supercongruences involving dual sequences ⋮ Determinant Expressions of Constraint Polynomials and the Spectrum of the Asymmetric Quantum Rabi Model ⋮ A generalized supercongruence of Kimoto and Wakayama ⋮ Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals ⋮ A supercongruence relation among Ap ⋮ Supercongruences for truncated Appell series ⋮ Number Theoretic Study in Quantum Interactions ⋮ On a sum of Apéry-like numbers arising from spectral zeta functions ⋮ Congruences related to dual sequences and Catalan numbers ⋮ Heat kernel for the quantum Rabi model: II. Propagators and spectral determinants

Cites Work

• Hypergeometric evaluation identities and supercongruences
• Zeta functions for the spectrum of the non-commutative harmonic oscillators
• Oscillator representations and systems of ordinary differential equations
• SPECIAL VALUES OF THE SPECTRAL ZETA FUNCTION OF THE NON-COMMUTATIVE HARMONIC OSCILLATOR AND CONFLUENT HEUN EQUATIONS
• APÉRY-LIKE NUMBERS ARISING FROM SPECIAL VALUES OF SPECTRAL ZETA FUNCTIONS FOR NON-COMMUTATIVE HARMONIC OSCILLATORS
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