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.