Dirichlet series associated with square of class numbers of binary quadratic forms

DOI10.1007/s00209-012-0979-yzbMath1345.11032OpenAlexW1997815844MaRDI QIDQ1925730

Yoshinori Mizuno

Publication date: 19 December 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-012-0979-y

zbMATH Keywords

Siegel-Eisenstein seriesclass numbersKoecher-Maass seriesShintani zeta functions

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46)

Related Items (1)

RANKIN–SELBERG CONVOLUTIONS OF NONCUSPIDAL HALF-INTEGRAL WEIGHT MAASS FORMS IN THE PLUS SPACE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dirichletsche Reihe mit Funktionalgleichung in der Theorie der Modulfunktion 2. Grades
• Jacobi Maaß forms
• The mean square of Dirichlet series associated with automorphic forms
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• Class numbers, Jacobi forms and Siegel-Eisenstein series of weight 2 on \(\text{Sp}_ 2(\mathbb{Z})\)
• A note on the Siegel-Eisenstein series of weight 2 on \(Sp_ 2(\mathbb{Z})\)
• The Rankin-Selberg method for non-holomorphic automorphic forms
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• Lectures on quadratic forms. Reissued
• On modular forms of half integral weight
• The average measure of quadratic forms with given determinant and signature
• The Rankin-Selberg convolution for real analytic Cohen's Eisenstein series of half-integral weight
• TWISTED MELLIN TRANSFORMS OF A REAL ANALYTIC RESIDUE OF SIEGEL–EISENSTEIN SERIES OF DEGREE 2
• Special Values of Zeta Functions, and Eisenstein Series of Half Integral Weight
• On the Holomorphy of Certain Dirichlet Series
• Dirichlet series in two variables
• On Dirichlet series whose coefficients are class numbers of binary quadratic forms
• On L-functions associated with the vector space of binary quadratic forms
• Koecher-Maass series for positive definite Fourier coefficients of real analytic Siegel-Eisenstein series of degree 2

This page was built for publication: Dirichlet series associated with square of class numbers of binary quadratic forms