Dept Banner
Dept Banner

Course Descriptions

16:640:573 - Special Topics Number Theory

Henryk Iwaniec


Spectral theory of automorphic forms


Henryk Iwaniec, Spectral Methods of Automorphic Forms, AMS Grad.Stud. Vol.53, 2002


Good knowledge of functional analysis and complex function theory will be helpful


This will be a one semester course on automorphic forms from analytic point of view. The main topics are:

-spectral decomposition

-trace formula

-sums of Kloosterman sums

-distribution of eigenvalues of the Laplace operator (Weyl's law, exceptional eigenvalues)

-distribution of Hecke eigenvalues

-hyperbolic lattice point problems

-application to equidistribution of roots of congruences

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530