APÉRY-LIKE NUMBERS ARISING FROM SPECIAL VALUES OF SPECTRAL ZETA FUNCTIONS FOR NON-COMMUTATIVE HARMONIC OSCILLATORS
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Publication:3420141
DOI10.2206/kyushujm.60.383zbMath1131.11059arXivmath/0603700OpenAlexW2593318607MaRDI QIDQ3420141
Masato Wakayama, Kazufumi Kimoto
Publication date: 1 February 2007
Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0603700
Congruences; primitive roots; residue systems (11A07) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Generalized hypergeometric series, ({}_pF_q) (33C20)
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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 ⋮ A variation of multiple $L$-values arising from the spectral zeta function of the non-commutative harmonic oscillator ⋮ The asymptotic log-convexity of Apéry-like numbers ⋮ Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals ⋮ Non-commutative harmonic oscillators and related problems ⋮ A supercongruence relation among Ap ⋮ On the spectrum of certain noncommutative harmonic oscillators ⋮ On the spectral zeta function for the noncommutative harmonic oscillator ⋮ Supercongruences for truncated Appell series ⋮ Number Theoretic Study in Quantum Interactions ⋮ On a conjecture of Kimoto and Wakayama ⋮ On a sum of Apéry-like numbers arising from spectral zeta functions ⋮ Congruences related to dual sequences and Catalan numbers ⋮ Non-commutative Harmonic Oscillators ⋮ SPECTRAL ZETA FUNCTIONS FOR THE QUANTUM RABI MODELS
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