Special Session 100: Roots and trends in number theory

On the first sign change of Fourier coefficients of cusp forms

Yingnan Wang
Shenzhen University
Peoples Rep of China
Co-Author(s):    
Abstract:
In the talk, we will survey some recent progress on the first sign-change of Fourier coefficients of cusp forms and present a variant of the current widely used method initiated by Choie and Kohnen in the study of the location of the first sign-change of the Fourier coefficients of a holomorphic cusp form when all the coefficients are real. This variant of Choie and Kohnen`s method applies to more cases including integral weight cusp forms on congruence subgroups of any levels as well as half-integral weight cusp forms. This is a joint work with Guohua Chen and Yuk-Kam Lau.