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

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      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

       

      ARADHITA CHATTOPADHYAYA1

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

       
  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.