Biplab Paul

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20182026

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math.NT2018

On Hecke eigenvalues of Siegel modular forms in the Maass space

Sanoli Gun, Biplab Paul, Jyoti Sengupta

In this article, we prove an omega-result for the Hecke eigenvalues $λ_{F} (n)$ of Maass forms $F$ which are Hecke eigenforms in the space of Siegel modular forms of weight $k$ , genus…

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 $a_{g} (n)$ …