The Ramanujan-Serre differential operators and certain elliptic curves

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Abstract

For several congruence subgroups of low levels and their conjugates, we derive differential equations satisfied by the Eisenstein series of weight 4 and relate them to elliptic curves, whose associated new forms of weight 2 constitute the list of Martin and Ono of new forms given by eta-products/quotients.

Journal

  • Proceedings of the American Mathematical Society

    Proceedings of the American Mathematical Society 141(10), 3421-3429, 2013-06-26

    American Mathematical Society

Codes

  • NII Article ID (NAID)
    120005323553
  • NII NACSIS-CAT ID (NCID)
    AA00781790
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    0002-9939
  • Data Source
    IR 
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