A Formula for Generating Weakly Modular Forms with Weight 12

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Aygunes A. A.

FILOMAT, vol.30, no.4, pp.1001-1004, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 4
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1604001a
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1001-1004
  • Keywords: Eisenstein series, Mobius transformation, Modular form
  • Akdeniz University Affiliated: Yes

Abstract

In this short paper, generally, we define a family of functions f(k) depends on the Eisenstein series with weight 2k, for k is an element of N. More detail, by considering the function fk, we define a derivative formula for generating weakly modular forms with weight 12. As a result for this, we claim that this formula gives an advantage to find the special solutions of some differential equations.