Theoretical Statistics and Mathematics Unit, ISI Delhi

December 12, 2019 (Thursday) ,
3:30 PM at Webinar

Speaker:
Ratnadeep Acharya,
RKMVERI Belur

Title:
An analogue of the Bombieri-Vinogradov Theorem for Fourier coefficient of cusp forms

Abstract of Talk

The PNT for arithmetic progression tells us that the primes are equidistributed over arithmetic progressions for 'small' moduli. However, on average such equidistribution holds for 'large' moduli' due to the classical Bombieri-Vinogradov theorem and the Barban-Davenport-Halberstam theorem. In this talk we prove analogues of these theorems for Fourier coefficient of cusp forms. Moreover, as an application of the first one we study an analogue of Titchmarsh Divisor Problem.