10 citations · 53 across the 34 of their papers we have counts for
6 papers · 2 filters
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 by Gun, Kohnen and Soundararajan, it has been shown that -functions associated with arbitrary non-zero cusp forms take large values at the central critical poin…
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…
On the largest prime factor of non-zero Fourier coefficients of Hecke eigenforms
Sanoli Gun, Sunil L Naik
Let denote the Ramanujan tau function. One is interested in possible prime values of function. Since is multiplicative and is odd if and only if is an odd sq…
On a non-Archimedean analogue of a question of Atkin and Serre
Yuri F Bilu, Sanoli Gun, Sunil L Naik
In this article, we investigate a non-Archimedean analogue of a question of Atkin and Serre. More precisely, we derive lower bounds for the largest prime factor of non-zero Fourier…
On Hecke eigenvalues of Ikeda lifts
Sanoli Gun, Sunil L Naik
A well known result of Breulmann states that Hecke eigenvalues of Saito-Kurokawa lifts are positive. In this article, we show that the Hecke eigenvalues of an Ikeda lift at primes…