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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/097/01-03/0251-0262

    • Keywords

       

      Modular curve; cuspidal class group; Eisenstein series; Ramanujan sums; non-congruence subgroups

    • Abstract

       

      The Manin—Drinfeld theorem asserts the finiteness of the cuspidal divisor class group of a modular curve corresponding to a congruence subgroup. The purpose of the note is to draw attention to the connection between this theorem and Ramanujan sums, and to the question of what happens for non-congruence subgroups.

    • Author Affiliations

       

      V Kumar Murty1 Dinakar Ramakrishnan2 3

      1. Department of Mathematics, University of Toronto, Toronto, Ontario - M5S 1A1, Canada
      2. Department of Mathematics, Duke University, Durham, NC - 27706, USA
      3. Cornell University, Ithaca, NY - 14853, USA
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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