Quadratic Diophantine equations, the class number, and the mass formula

DOI10.1090/S0273-0979-06-01107-4zbMath1108.11034MaRDI QIDQ5478306

Goro Shimura

Publication date: 12 July 2006

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

class numberDiophantine equationmass formula

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Quadratic forms over global rings and fields (11E12) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (4)

Mass formulas and Eisenstein congruences in higher rank ⋮ Quadratic Forms and Automorphic Forms ⋮ Local-global principles for representations of quadratic forms ⋮ Hyperbolas over two-dimensional Fibonacci quasilattices

Cites Work

• Integer-valued quadratic forms and quadratic Diophantine equations.
• \(L\)-functions and the oscillator representation
• On the Eisenstein series of Hilbert modular groups
• An exact mass formula for orthogonal groups.
• The number of representations of an integer by a quadratic form.
• Some finiteness properties of adele groups over number fields
• Sur la formule de Siegel dans la théorie des groupes classiques
• On modular forms of half integral weight
• Über die analytische Theorie der quadratischen Formen
• Über die analytische Theorie der quadratischen Formen. II
• Über die Zetafunktionen indefiniter quadratischer Formen. II
• On the Weil-Siegel formula II.
• On Sums of Three Integral Squares in Algebraic Number Fields
• Inhomogeneous quadratic forms and triangular numbers
• The representation of integers as sums of squares
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