REPRESENTATIONS OF INTEGERS BY TERNARY QUADRATIC FORMS

DOI10.1142/S1793042110002831zbMath1250.11037OpenAlexW2126184190MaRDI QIDQ5306070

Ben Kane

Publication date: 29 March 2010

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042110002831

zbMATH Keywords

quaternion algebrasmaximal orderShimura correspondenceKohnen's plus spacemodular forms of half-integral weights

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Forms of half-integer weight; nonholomorphic modular forms (11F37)

Related Items (6)

Rankin-Selberg \(L\)-functions and the reduction of CM elliptic curves ⋮ Representation by ternary quadratic forms ⋮ A two‐dimensional arithmetic André–Oort problem ⋮ Equidistribution of Heegner points and ternary quadratic forms ⋮ A generalized cubic moment and the Petersson formula for newforms ⋮ CM liftings of supersingular elliptic curves

Cites Work

• Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids
• Fourier coefficients and modular forms of half-integral weight
• CM liftings of supersingular elliptic curves
• Fourier coefficients of modular forms of half-integral weight
• Hyperbolic distribution problems and half-integral weight Maass forms
• Darstellung durch Spinorgeschlechter ternärer quadratischer Formen
• Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
• Ramanujan's ternary quadratic form
• On ternary quadratic forms
• La conjecture de Weil. I
• On modular forms of half integral weight
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper

This page was built for publication: REPRESENTATIONS OF INTEGERS BY TERNARY QUADRATIC FORMS