M2 2022/23

Modular Forms/Formes Modulaires

 

Introduction   Elliptic functions, Eisenstein series   Abel, Jacobi, Riemann    Questions 1   

 

Modular forms on SL(2,Z)    Quotients of H    Modular forms in general   

 

L-functions of modular forms    Hecke_operators    Questions 2   

 

Additional notes for enthusiasts:

 

Abstract_framework    Theta 1    Theta 2    Theta 3    Theta 4    Eisenstein series, Whittaker functions   

 

Poincaré series    Modular polynomials    Rankin-Cohen brackets