Character analogues of Dedekind sums and transformations of analytic Eisenstein series

Authors
Meyer, JL
Citation
Jl. Meyer, Character analogues of Dedekind sums and transformations of analytic Eisenstein series, PAC J MATH, 194(1), 2000, pp. 137-164
Citations number
10
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
194
Issue
1
Year of publication
2000
Pages
137 - 164
Database
ISI
SICI code
0030-8730(200005)194:1<137:CAODSA>2.0.ZU;2-O
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.