Weierstrass Interpolation of Hecke Eisenstein Series

Authors

Timothy Huber, The University of Texas Rio Grande ValleyFollow
Matthew Levine, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

2017

Abstract

The Eisenstein series for the full modular group satisfy a well known recursion. We present a recursive formulation for Hecke Eisenstein series of odd level in terms of the Weierstrass zeta-function using only elementary facts about Gauss sums and L-functions. The Eisenstein series associated with primitive Dirichlet characters χ are expressed as linear combinations of Weierstrass zeta-values at division points.

Comments

Copyright Indian Mathematical Society, 2017.

Recommended Citation

Huber, Timothy, and Matthew Levine. 2017. “Weierstrass Interpolation of Hecke Eisenstein Series.” The Mathematical Student 86 (1–2): 133–38.

First Page

133

Last Page

138

Publication Title

The Mathematical Student