Vol. 194, No. 1, 2000

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Character analogues of Dedekind sums and transformations of analytic Eisenstein series

Jeffrey L. Meyer

Vol. 194 (2000), No. 1, 137–164
Abstract

In this paper we give a transformation formula for an analytic generalized Eisenstein series. In the same way that the ordinary Dedekind sums arise in the transformation formula for the logarithm of the Dedekind eta-function, similar sums arise in the formula for the following generalized Eisenstein series.

Milestones
Received: 27 August 1998
Revised: 13 November 1998
Published: 1 May 2000
Authors
Jeffrey L. Meyer
Syracuse University
Syracuse, NY 13244-1150