The number of representations of an integer by a quadratic form.

DOI10.1215/S0012-7094-99-10002-0zbMath1161.11326OpenAlexW2028895932MaRDI QIDQ1974957

Goro Shimura

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-99-10002-0

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) Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30)

Related Items (8)

Primitive solutions of nonscalar quadratic Diophantine equations ⋮ An explicit formula for the Fourier coefficients of Eisenstein series attached to lattices ⋮ On primitive solutions of quadratic Diophantine equation with four variables ⋮ Finding elementary formulas for theta functions associated to even sums of squares ⋮ Hyperbolas over two-dimensional Fibonacci quasilattices ⋮ On quadratic Diophantine equations in four variables and orders associated with lattices. II. ⋮ Quadratic Diophantine equations, the class number, and the mass formula ⋮ Hyperbolic equidistribution problems on Siegel 3-folds and Hilbert modular varieties

Cites Work

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• On Eisenstein series of half-integral weight
• \(L\)-functions and the oscillator representation
• Confluent hypergeometric functions on tube domains
• An exact mass formula for orthogonal groups.
• Sur la formule de Siegel dans la théorie des groupes classiques
• Sur certains groupes d'opérateurs unitaires
• Über die analytische Theorie der quadratischen Formen
• On the Transformation Formulas of Theta Series

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