Alladi Ramakrishnan Hall

Prime divisors of non-zero Fourier coefficients of Hecke eigenforms

Sunil L Naik

IMSc

The study of arithmetic properties of non-zero Fourier coefficients of Hecke eigenforms, in particular the Ramanujan $\tau$ function is an interesting topic in Number theory. In this talk, We will discuss lower bounds for the number of distinct prime factors and radicals of the values of Ramanujan $\tau$ function. We will also give a brief overview of our recent work on a non-Archimedean analogue of a question of Atkin and Serre.

Here is the zoom link;
zoom.us/j/98206472628

Meeting ID: 982 0647 2628
Passcode: 560304