<i>p</i>-ADIC HECKE SERIES OF IMAGINARY QUADRATIC FIELDS

M M Višik; Ju I Manin

doi:10.1070/sm1974v024n03abeh001916

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p-ADIC HECKE SERIES OF IMAGINARY QUADRATIC FIELDS

M M Višik Ju I Manin

Year: 1974 Journal: Mathematics of the USSR-Sbornik Vol: 24 (3)Pages: 345-371 Publisher: IOP Publishing

DOI: 10.1070/sm1974v024n03abeh001916

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Abstract

In this paper a p-adic analytic function of two variables is constructed whose values in some common domain coincide with the values of the family of Hecke L-series of an imaginary quadratic field. The functional equation for such a function is obtained. The p-adic Mellin integral transform is the main technique. Bibliography: 13 items.

Keywords:

The Imaginary Mathematics Quadratic equation Series (stratigraphy) Pure mathematics Function (biology) Mellin transform Quadratic field Mathematical analysis Domain (mathematical analysis) Field (mathematics) Quadratic function Fourier transform Geometry

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advanced mathematical theories

Physical Sciences → Mathematics → Mathematical Physics

Algebraic Geometry and Number Theory

Physical Sciences → Mathematics → Geometry and Topology

Advanced Algebra and Geometry

Physical Sciences → Mathematics → Mathematical Physics

p-ADIC HECKE SERIES OF IMAGINARY QUADRATIC FIELDS

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