Prime divisors of Hecke eigenvalues of Ikeda lifts

In this talk, we will discuss bounds on the largest prime factor of Fourier coefficients of normalized Hecke eigenforms. Further, we will study the positivity of Hecke eigenvalues of Ikeda lifts and bounds on the large prime divisors of these Hecke eigenvalues. These are joint works with Yuri Bilu, and Sanoli Gun.