• A simple method to extract zeros of certain Eisenstein series of small level

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/130/0006

• # Keywords

Zeros of Eisenstein series; zeros of modular forms of $\Gamma_{0}(N)$.

• # Abstract

This paper provides a simple method to extract the zeros of some weight two Eisenstein series of level $N$ where $N$ = 2, 3, 5 and 7. The method is based on the observation that these Eisenstein series are integral over the graded algebra of modular forms on $SL(2, Z)$ and their zeros are ‘controlled’ by those of $E_{4}$ and $E_{6}$ in the fundamental domain of $\Gamma_{0}(N)$.

• # Author Affiliations

1. Department of Centre for High Energy Physics, Indian Institute of Science, Bangalore 560 012, India

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019