The Connection Between Epstein Zeta Functions And Dirichlet L-functions

Posted on:2021-02-22

Degree:Master

Type:Thesis

Country:China

Candidate:T Wei

Full Text:PDF

GTID:2370330647950907

Subject:Basic mathematics

Abstract/Summary:

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We give the relations between the Epstein L-functions and Dirichlet L-functions for some imaginary quadratic fields having special ideal class group like(Z/2Z)n and(Z/3Z)n.And we prove a conjecture by Glasser,Zucker[8]about the connection.

Keywords/Search Tags:

Epstein zeta function, Dirichlet L-function, Hilbert class field, CM elliptic curve

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