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

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    • 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
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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