On a class number formula of Hurwitz

DOI10.4171/JEMS/1097zbMath1495.11055OpenAlexW3165125446MaRDI QIDQ824424

Özlem Imamoḡlu, Árpad Tóth, William Duke

Publication date: 15 December 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/1097

zbMATH Keywords

binary quadratic formclass numberEisenstein seriesPoincaré seriesDirichlet seriesintegral quadratic formHurwitz's class number formula

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Zeta functions and (L)-functions of number fields (11R42) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Class numbers of quadratic and Hermitian forms (11E41) General binary quadratic forms (11E16)

Related Items (1)

Cycle integrals of the \(j\)-function on Markov geodesics

Cites Work

• Cycle integrals of the \(j\)-function and mock modular forms
• Eisenstein cocycles for \(GL_ 2 \mathbb{Q}\) and values of \(L\)-functions in real quadratic fields
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a class number formula of Hurwitz