Stirling modular forms and special values of multiple cotangent functions

DOI10.1007/S11139-012-9391-9zbMath1284.11120OpenAlexW2020418201MaRDI QIDQ693019

Hidekazu Tanaka

Publication date: 7 December 2012

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9391-9

zbMATH Keywords

multiple gamma functionsmultiple cotangent functionsmultiple sine functionsStirling modular forms

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Dedekind eta function, Dedekind sums (11F20) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Cites Work

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• Multiple gamma functions, multiple sine functions, and Appell's \(O\)-functions
• Division values of multiple sine functions
• Weierstrass product representations of multiple gamma and sine functions
• Local \(L\)-factors of motives and regularized determinants
• Multiple cotangent and generalized eta functions
• BILATERAL ZETA FUNCTIONS AND THEIR APPLICATIONS
• A Transformation Formula Involving the Gamma and Riemann Zeta Functions in Ramanujan’s Lost Notebook
• Multiple sine functions
• !ALGEBRAICITY AND TRANSCENDENCY OF BASIC SPECIAL VALUES OF SHINTANI’S DOUBLE SINE FUNCTIONS
• A simple proof of η(— 1/τ)= η(τ)√τ/i
• On Barnes' multiple zeta and gamma functions

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