Ritwik Pal

most citedOn the signs of Fourier coefficients of Hilbert cusp forms

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math.NT2020★ 1 cited

On the signs of Fourier coefficients of Hilbert cusp forms

Ritwik Pal

We prove that given any $ε > 0$ and a primitive adelic Hilbert cusp form $f$ of weight $k = (k_{1}, k_{2}, ..., k_{n}) \in (2 Z)^{n}$ and full level, there exists an integral ideal $\ma…

math.NT2020

Jacobi forms and differential operators: odd weights

Soumya Das, Ritwik Pal

We show that it is possible to remove two differential operators from the standard collection of $m$ of them used to embed the space of Jacobi forms of \textit{odd} weight $k$ and…

math.NT2020

The first negative eigenvalue of Yoshida lifts

Soumya Das, Ritwik Pal

We prove that for any given $ε > 0$ , the first negative eigenvalue of the Yoshida lift $F$ of a pair of elliptic cusp forms $f, g$ having square-free levels (where $g$ has weight $2$ …

math.NT2020

Large Hecke eigenvalues and an Omega result for non Saito--Kurokawa lifts

Pramath Anamby, Soumya Das, Ritwik Pal

We prove a result on the distribution of Hecke eigenvalues, $μ_{F} (p^{r})$ (for $r = 1, 2$ or $3$ ) of a non Saito--Kurokawa lift $F$ of degree $2$ . As a consequence, we obtain an Omega re…