On the summation of the singular series

DOI10.1007/BF01168672zbMath0623.10036OpenAlexW1989955495MaRDI QIDQ1091424

B. George

Publication date: 1987

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155206

zbMATH Keywords

quadratic formGauss sumssum of squaresSiegel's formulasingular series2-adic densityaverage number of representationsp-adic densities

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Quadratic forms over global rings and fields (11E12)

Cites Work

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• Arithmetic behaviour of the sums of three squares
• On modular forms of half integral weight
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• On the Representations of a Number as the Sum of Three Squares

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