Hecke Operators Related to the Generalized Dedekind Eta Functions and Applications

Aygunes A. A., ŞİMŞEK Y.

International Conference on Numerical Analysis and Applied Mathematics, Rhodes, Greece, 19 - 25 September 2010, vol.1281, pp.1098-1101, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1281
  • Doi Number: 10.1063/1.3497835
  • City: Rhodes
  • Country: Greece
  • Page Numbers: pp.1098-1101
  • Keywords: Generalized Dedekind eta functions, Hecke operators, Weber function
  • Akdeniz University Affiliated: Yes

Abstract

We investigate the action of the Hecke operators on the logarithm of the generalized Dedekind eta function eta(g,h)(z;N), generalized theta function f(2;g,h)(z,N), and Weber function W(2)(z).