On Dirichlet series for sums of squares

DOI10.1023/A:1026230709945zbMath1038.11056MaRDI QIDQ1417924

Kwok-Kwong Stephen Choi, Jonathan M. Borwein

Publication date: 6 January 2004

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

zbMATH Keywords

sums of squares\(L\)-functionsbinary quadratic formsDirichlet seriesclosed formsdisjoint discriminants

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 (6)

RUELLE TYPE L-FUNCTIONS VERSUS DETERMINANTS OF LAPLACIANS FOR TORSION FREE ABELIAN GROUPS ⋮ Petersson scalar products and \(L\)-functions arising from modular forms ⋮ Representations of integers by certain positive definite binary quadratic forms ⋮ Arithmetical properties of multiple Ramanujan sums ⋮ Sums of squares and products of Bessel functions ⋮ On lattice sums and Wigner limits

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