Representations of integers by certain positive definite binary quadratic forms

DOI10.1007/s11139-007-9032-xzbMath1155.11022arXivmath/0412237OpenAlexW2144927725MaRDI QIDQ2479863

M. Ram Murty, Robert Osburn

Publication date: 3 April 2008

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

Full work available at URL: https://arxiv.org/abs/math/0412237

zbMATH Keywords

Modular formsBinary quadratic formsGenus charactersRankin-Selberg convolution of L functions

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41)

Related Items (1)

Estimates for representation numbers of quadratic forms

Cites Work

• The average number of solutions of the Diophantine equation \(U^2+V^2=W^3\) and related arithmetic functions
• On Dirichlet series for sums of squares
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• A remark on a conjecture of Borwein and Choi
• On Epstein's Zeta-function.
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