Number Theory Seminar

Rizwanur Khan, University of Texas at Dallas

Eisenstein series and the Random Wave Conjecture

What do automorphic forms "look" like when plotted on the modular surface? Quantum chaos predictions say that they should tend to look more and more like random waves. We'll discuss the relevant conjecture and report on progress for a fundamental type of automorphic form - the Eisenstein series. This is joint work with Goran Djanković.