A variation of multiple $L$-values arising from the spectral zeta function of the non-commutative harmonic oscillator

DOI10.1090/S0002-9939-09-09881-5zbMath1260.11055arXiv0712.1855MaRDI QIDQ5322844

Yoshinori Yamasaki, Kazufumi Kimoto

Publication date: 23 July 2009

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

Full work available at URL: https://arxiv.org/abs/0712.1855

zbMATH Keywords

Bernoulli numberssymmetric functionsmultiple zeta valuesspectral zeta functionmultiple \(L\)-valuesnon-commutative harmonic oscillator

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (3)

Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun's differential equation ⋮ Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals ⋮ Non-commutative Harmonic Oscillators

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