Journal of East China Normal University(Natural Sc ›› 2017, Vol. 2017 ›› Issue (6): 1-24.doi: 10.3969/j.issn.1000-5641.2017.06.001

• Mathematics •     Next Articles

On Eisenstein series generated from twisting of the geometric series

SHEN Li-chien   

  1. Department of Mathematics, University of Florida, Gainesville FL 32611-8105, USA
  • Received:2017-03-29 Online:2017-11-25 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.

Key words: Dirichlet character, conductor, Eisenstein series, Gaussian sum, Kronecker symbol, Mellin transform, modular form, Poisson summation formula, Weil's converse theorem

CLC Number: