The Ramanujan-Serre differential operators and certain elliptic curves

• Kaneko, Masanobu

  Department of Mathematics, Faculty of Mathematics, Kyushu University : Professor

• Sakai, Yuichi

  International Institute for Carbon-Neutral Energy Research, Kyushu University

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.

1.Introduction 2.Main result 3.Further comments and remarks Acknowledgements References

Journal

• Proceedings of the American Mathematical Society

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

  American Mathematical Society

Keywords

• Primary 11F11, 11F25
• Secondary 11G05, 11F20

Details

• CRID: 1050017057727690240
• NII Article ID: 120005323553
• NII Book ID: AA00781790
• DOI: 10.1090/s0002-9939-2013-11917-9
• ISSN: 10886826
• ISSN: 00029939
• HANDLE: 2324/27241
• Web Site: http://www.ams.org/proc/2013-141-10/S0002-9939-2013-11917-9/S0002-9939-2013-11917-9.pdf
• Web Site: https://www.ams.org/proc/2013-141-10/S0002-9939-2013-11917-9/S0002-9939-2013-11917-9.pdf
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN