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On a problem about the Epstein zeta-function
Veikko Ennola
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Source: Crossref
Published: Oct 1, 1964
DOI: 10.1017/s0305004100038330
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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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