Modular Forms


This course is an introduction to Modular Forms. They are holomorphic functions satisfying a certain invariance property under the action of a finite index subgroup of SL2(Z). They have remarkable arithmetical properties encoded in their Fourier coefficients.



Problem Sheets

  • Diamond-Shurman, A first course in modular forms, Springer.
  • Koblitz, Introduction to elliptic curves and modular forms, Springer
  • Miyake, Modular Forms, Springer
  • Serre, Cours d’arithmetique, Presse Universitaire de France.
  • Shimura, Introduction to the arithmetic theory of Automorphic fonctions, Princeton university Press.