The Chowla-Selberg formula for quartic Abelian CM fields

DOI10.1090/proc/12935zbMath1357.11052OpenAlexW2315731738MaRDI QIDQ2802099

Robert Cass

Publication date: 25 April 2016

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

Full work available at URL: https://semanticscholar.org/paper/0d66e2f88379c5e966ae19f17e9c460e29e42c74

zbMATH Keywords

special valuesChowla-Selberg formulaHilbert modular functionquartic abelian CM-fields

Mathematics Subject Classification ID

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)

Uses Software

• Magma
• SageMath

Cites Work

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• CM-values of Hilbert modular functions
• The Magma algebra system. I: The user language
• The Chowla–Selberg formula for abelian CM fields and Faltings heights
• On the analogue of the formula of Chowla and Selberg for real quadratic fields.
• The conductor of a cyclic quartic field using Gauss sums
• On Epstein's Zeta-function.
• On Epstein's Zeta Function (I)

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