Research Group
| Seminar | WSU Colloquium
| Department Home

Washington State
University

Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics

Zoom

November 30, Monday, 4:10 - 5:00 PM

Wei-Lun Tsai

Department of Mathematics

University of Virginia

Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics

Zoom

November 30, Monday, 4:10 - 5:00 PM

Wei-Lun Tsai

Department of Mathematics

University of Virginia

Title: Equidistribution
of Fourier coefficients of weak Maass forms

Abstract: In this talk, I will discuss recent work in which we show that the normalized Fourier coefficients of weak Maass forms of prime level p become equidistributed on [-1,1] as p goes to infinity. For integral weight forms, these coefficients are equidistributed with respect to the Sato-Tate measure, while for half-integral weight forms, these coefficients are equidistributed with respect to the arc length measure. The proofs involve a blend of geometric and analytic methods. This is joint work with Riad Masri.

Abstract: In this talk, I will discuss recent work in which we show that the normalized Fourier coefficients of weak Maass forms of prime level p become equidistributed on [-1,1] as p goes to infinity. For integral weight forms, these coefficients are equidistributed with respect to the Sato-Tate measure, while for half-integral weight forms, these coefficients are equidistributed with respect to the arc length measure. The proofs involve a blend of geometric and analytic methods. This is joint work with Riad Masri.