5 papers · 1 filter
On divisibility of Hecke eigenvalues of Ikeda lifts
Sanoli Gun, Sunil Naik
In this article, we estimate the density of the set of primes such that the -th Hecke eigenvalue of an Ikeda lift is divisible by a fixed positive integer. One of the main i…
Effective multiplicative independence of 3 singular moduli
Yuri Bilu, Sanoli Gun, Emanuele Tron
Pila and Tsimerman proved in 2017 that for every there exists at most finitely many -tuples of distinct non-zero singular moduli with the property "$x_1,…
A note on Fourier coefficients of Hecke eigenforms in short intervals
Sanoli Gun, Sunil Naik
In this article, we investigate large prime factors of Fourier coefficients of non-CM normalized cuspidal Hecke eigenforms in short intervals. One of the new ingredients involves d…
On extreme values of quadratic twists of Dirichlet-type -functions
Sanoli Gun, Rashi Lunia
In a recent work arXiv:2004.14450, it has been shown that -functions associated with arbitrary non-zero cusp forms take large values at the central critical point. The goal of t…
Extreme values of -functions of newforms
Sanoli Gun, Rashi Lunia
In 2008, Soundararajan showed that there exists a normalized Hecke eigenform of weight and level one such that $$ L(1/2, f ) ~\geq~ \exp\Bigg( (1 + o(1)) \sqrt{\frac{2\log…