Higher Kronecker “limit” formulas for real quadratic fields

DOI10.1515/crelle.2012.022zbMath1276.11183OpenAlexW2103670885MaRDI QIDQ2838628

Maria Vlasenko, Don Zagier

Publication date: 10 July 2013

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2012.022

zbMATH Keywords

modular groupcontinued fractionsreal quadratic fieldspartial zeta-functionsnarrow ideal classes

Mathematics Subject Classification ID

Quadratic extensions (11R11) Gamma, beta and polygamma functions (33B15) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Continued fractions (11A55) Zeta functions and (L)-functions of number fields (11R42) Higher logarithm functions (33B30)

Related Items (11)

Explicit transformations of certain Lambert series ⋮ Arithmetic properties of the Herglotz-Zagier-Novikov function ⋮ Explicit transformations for generalized Lambert series associated with the divisor function \(\sigma_a^{(N)}(n)\) and their applications ⋮ Polynomial behavior of special values of partial zeta functions of real quadratic fields at \(s = 0\) ⋮ Shintani-Barnes cocycles and values of the zeta functions of algebraic number fields ⋮ A Kronecker limit formula for indefinite zeta functions ⋮ Extended higher Herglotz functions. I: Functional equations ⋮ Arithmetic properties of the Herglotz function ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ Kronecker's first limit formula, revisited ⋮ Extended higher Herglotz function. II

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