A generalization of gamma functions and Kronecker's limit formulas

DOI10.1016/J.JNT.2010.01.010zbMath1197.11152OpenAlexW2090726936MaRDI QIDQ984851

Koji Katayama

Publication date: 20 July 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.01.010

zbMATH Keywords

generalized gamma functionEpstein zeta functionKronecker limit formula\(s=0\)'-versionBessel-zeta functionLerch theorem

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Zeta functions and (L)-functions of number fields (11R42) Hurwitz and Lerch zeta functions (11M35)

Related Items (5)

On a class of Epstein zeta functions ⋮ A certain generalized Pochhammer symbol and its applications to hypergeometric functions ⋮ On a generalization of Kronecker's limit formula ⋮ GENERALIZED GAMMA FUNCTIONS WITH CHARACTERS ⋮ Polyharmonic Maass forms for \(\mathrm{PSL}(2,\mathbb Z)\)

Cites Work

• A proof of the classical Kronecker limit formula
• On the multiple gamma-functions
• Barnes' multiple zeta function and Apostol's generalized Dedekind sum
• On a theorem of Shintani
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A generalization of gamma functions and Kronecker's limit formulas