A STUDY ON ACTION OF HECKE OPERATORS OVER SOME FUNCTIONS AND SERIES

The affects of Hecke operators, Tn over some function suh as dedekind eta function with generalized dedekind functions, theta functions, Eisenstein series, Lambert series and lattice functions will be investingated in this general talk. Moreover, the behavior of these functions under the Hecke operators will be analyzed and some results will be given.

Keywords:

Hecke operators , Dedekind eta function , generalized Dedekind eta function , theta function , Eisenstein series , Lambert series , lattice fnction