On q-Basic Multiple Gamma Functions

DOI10.1142/S0129167X03002034zbMath1052.33015OpenAlexW2107883590MaRDI QIDQ4474448

Masato Wakayama, Nobushige Kurokawa

Publication date: 12 July 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x03002034

zbMATH Keywords

Riemann zeta function\(q\)-analogueWeierstrass canonical formzeta regularized productmultiple trigonometric functionmultiple Gamma function

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) (q)-gamma functions, (q)-beta functions and integrals (33D05) Elliptic functions and integrals (33E05)

Related Items (6)

Gamma and sine functions for Lie groups and period integrals ⋮ RUELLE TYPE ZETA FUNCTIONS FOR TORI AND SOME ARITHMETICS ⋮ Multiple gamma functions, multiple sine functions, and Appell's \(O\)-functions ⋮ Duplication formulas in triple trigonometry ⋮ Extensions of zeta functions -- examples and a study of the double sine functions ⋮ Analyticity of polylogarithmic Euler products

Cites Work

• On the \(\Gamma\)-factors attached to motives
• Multiple sine functions and Selberg zeta functions
• Regularized products and determinants
• Zeta extensions
• A VARIATION OF EULER′S APPROACH TO VALUES OF THE RIEMANN ZETA FUNCTION
• ZETA REGULARIZATIONS AND <i>q</i>-ANALOGUE OF RING SINE FUNCTIONS

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