Mathematics

On Eisenstein series generated from twisting of the geometric series

  • SHEN Li-chien
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  • Department of Mathematics, University of Florida, Gainesville FL 32611-8105, USA

Received date: 2017-03-29

  Online published: 2017-11-25

Abstract

In this paper, we will be dealing with the twisting of geometric series by the Dirichlet characters. In conjunction with the basic tool of Fourier transform, it can be used to generate all the Eisenstein series with respect to a family arithmetic groups.

Cite this article

SHEN Li-chien . On Eisenstein series generated from twisting of the geometric series[J]. Journal of East China Normal University(Natural Science), 2017 , 2017(6) : 1 -24 . DOI: 10.3969/j.issn.1000-5641.2017.06.001

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