Math 515: Rankin-Selberg Methods

Instructor: Ramin Takloo-Bighash

Notes by Florin Spinu


Section 1:     The Classical Rankin-Selberg Method

Section 2:     Maass Forms on Congruence Subgroups

Section 3:     Adele Groups

Section 4:     The Hecke Algebra

Section 5:     Cuspidal Automorphic Representations

Section 6:     Notions of Representation Theory

Section 7:     Fourier Expansion of a Cusp Form

Section 8:     Representations Over Finite Fields

Section 9:     Whittaker Models

Section 11:     Representations Over p-adic Fields; Langlands Classification