On Dirichlet series whose coefficients are class numbers of binary quadratic forms

DOI10.1017/S0027763000005651zbMath0874.11062MaRDI QIDQ5285317

Boris A. Datskovsky

Publication date: 7 July 1997

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

class numberscoefficientsfamily of zeta functionsShintani's functional equationspaces of binary quadratic forms

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41) Class numbers of quadratic and Hermitian forms (11E41)

Related Items

Dirichlet series associated with square of class numbers of binary quadratic forms, Zeta Functions for the Adjoint Action of GL(n) and Density of Residues of Dedekind Zeta Functions, Symmetry in the functional equation of a local zeta distribution, Dirichlet series and automorphic functions associated to a quadratic form

Cites Work

• On functional equations of complex powers
• On the Shintani zeta function for the space of binary quadratic forms
• On zeta functions associated with prehomogeneous vector spaces
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• On modular forms of half integral weight