Arithmetic properties of the Herglotz-Zagier-Novikov function

DOI10.1016/j.aim.2023.109315arXiv2309.10634OpenAlexW4387249922MaRDI QIDQ6058889

Rahul Kumar, Young Ju Choie

Publication date: 1 November 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.10634

zbMATH Keywords

dilogarithmcohomologyfunctional equationsHerglotz functionevaluations of integrals

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Other functions defined by series and integrals (33E20) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Discontinuous groups and automorphic forms (11F99)

Cites Work

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• The Herglotz-Zagier function, double zeta functions, and values of \(L\)-series
• A Kronecker limit formula for real quadratic fields
• Arithmetic properties of the Herglotz function
• Higher Kronecker “limit” formulas for real quadratic fields
• The Dilogarithm Function
• KRONECKER'S LIMIT FORMULA IN A REAL QUADRATIC FIELD
• A restricted Epstein zeta function and the evaluation of some definite integrals
• Parameterized families of polylog integrals
• Number Theory
• Period functions for Maass wave forms. I.