The Chowla-Selberg formula

DOI10.1016/0022-314X(83)90022-7zbMath0525.12012OpenAlexW2012496899MaRDI QIDQ594137

Carlos Julio Moreno

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-314x(83)90022-7

zbMATH Keywords

Dedekind zeta functionCM-fieldsBarnes multiple gamma functionChowla-Selberg formulaEpstein zeta function over algebraic number fieldHecke L-functionKronecker limit formulaTaylor expansion of zeta function

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Zeta functions and (L)-functions of number fields (11R42) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Hurwitz and Lerch zeta functions (11M35) Totally real fields (11R80)

Related Items (4)

Unnamed Item ⋮ The Chowla–Selberg formula for abelian CM fields and Faltings heights ⋮ Extended Epstein's zeta functions over CM-fields ⋮ Computing Power Series Expansions of Modular Forms

Cites Work

• On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich
• Values of abelian \(L\)-functions at negative integers over totally real fields
• Automorphic forms and the periods of abelian varieties
• Gauss sums and the p-adic \(\Gamma\)-function
• A Kronecker limit formula for real quadratic fields
• On Kronecker's limit formula in a totally imaginary quadratic field over a totally real algebraic number field
• On a function analogous to log η(τ)
• Sur les Périodes des Intégrales Abéliennes
• On Epstein's Zeta-function.
• On a Certain Function Analogous to log|η(z)|
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Chowla-Selberg formula