Russian Mathematical Surveys · 1991 · 53 citations · 1 references
Natural SciencesMathematicsAlgebraGeometryRepresentation TheoryAlgebraic Number TheoryArithmetic GeometryAutomorphic FormsDiophantine EquationsModular FormsQuadratic FormsHecke AlgebrasHecke OperatorsIntegral Quadratic FormsIntegral RepresentationsRepresentation Of Integers By Quadratic FormsSiegel Mass FormulaTheta FunctionsTheta Series
CONTENTS § 1. Introduction § 2. The action of Hecke operators on non-homogeneous theta-series § 3. Siegel measures and indices of groups of units § 4. Multiplication of weighted sums of representations by Hecke elements § 5. Factorization of integral representations of integers by quadratic forms § 6. Composition of the representation masses for integral representations § 7. Concluding remarks References
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