A proof of the \(S\)-genus identities for ternary quadratic forms

DOI10.1007/s11139-012-9429-zzbMath1341.11014arXiv1010.1926OpenAlexW2038109187MaRDI QIDQ1927669

Jonathan P. Hanke, Will Jagy, Alexander Berkovich

Publication date: 2 January 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1926

zbMATH Keywords

local densitiesternary quadratic formsmass formula\(\theta\)-functions\(S\)-genus

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Theta series; Weil representation; theta correspondences (11F27) Quadratic forms over global rings and fields (11E12) Fourier coefficients of automorphic forms (11F30)

Related Items (2)

On the representation numbers of ternary quadratic forms and modular forms of weight \(3/2\) ⋮ On representation of an integer as the sum of three squares and ternary quadratic forms with the discriminants \(p^2\), \(16p^2\).

Uses Software

• QFLib

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L\)-functions and the oscillator representation
• Local densities and explicit bounds for representability by a quadratic form
• Ternary Quadratic Forms, Modular Equations, and Certain Positivity Conjectures
• Low-dimensional lattices. IV. The mass formula

This page was built for publication: A proof of the \(S\)-genus identities for ternary quadratic forms