Mathematical Proceedings of the Cambridge Philosophical Society · 1964 · 47 citations · 3 references
Natural SciencesMathematicsPhysicsCondensed Matter PhysicsNumber TheoryStochastic ProcessesCharacteristic FunctionsGenerating FunctionsEisenstein SeriesPositive Definite Quadratic Forms
1. Let be a positive definite binary quadratic form with determinant αβ − δ 2 = 1. A special form of this kind is We consider the Epstein zeta-function the series converging for . The function Z h ( s ) can be analytically continued over the whole s -plane and it is regular except for a simple pole with residue π at s = 1.
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