Balesh Kumar

collaborators

2 papers

math.NT2020

On the size of the Fourier coefficients of Hilbert cusp forms

Balesh Kumar

Let $f$ be a primitive Hilbert cusp form of weight $k$ and level $n$ with Fourier coefficients $c_{f} (m)$ . We prove a non-trivial upper bound for almo…

math.NT2018

The first simultaneous sign change and non-vanishing of Hecke eigenvalues of newforms

Sanoli Gun, Balesh Kumar, Biplab Paul

Let $f$ and $g$ be two distinct newforms which are normalized Hecke eigenforms of weights $k_{1}, k_{2} \geq 2$ and levels $N_{1}, N_{2} \geq 1$ respectively. Also let $a_{f} (n)$ and $a_{g} (n)$ …