Soumya Das

activity

20092022

most citedDistinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients

10 citations · 45 across the 22 of their papers we have counts for

collaborators

Showing 2020Show all

9 papers · 1 filter

math.AG2020★ 4 cited

On the Inertia Conjecture and its generalizations

Soumyadip Das

Studying two point branched Galois covers of the projective line we prove the Inertia Conjecture for the Alternating groups $A_{p + 1}$ , $A_{p + 3}$ , $A_{p + 4}$ for any odd prime $p \eq…

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

Hecke-Siegel type threshold for square-free Fourier coefficients: an improvement

Pramath Anamby, Soumya Das

We prove that if $f$ is a non zero cusp form of weight $k$ on $Γ_{0} (N)$ with character $χ$ such that $N / (conductor χ)$ square-free, then there exists a square-free $n\ll_ε k^…

math.NT2020★ 1 cited

Bounds for the Petersson norms of the pullbacks of Saito-Kurokawa lifts

Pramath Anamby, Soumya Das

Using the amplification technique, we prove that `mass' of the pullback of the Saito-Kurokawa lift of a Hecke eigen form $g \in S_{2 k}$ is bounded by $k^{1 - \frac{1}{210} + ε}$ . This i…

math.NT2020★ 10 cited

Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients

Pramath Anamby, Soumya Das

We prove that Hermitian cusp forms of weight $k$ for the Hermitian modular group of degree $2$ are determined by their Fourier coefficients indexed by matrices whose determinants a…

math.NT2020

On Fourier coefficients of elliptic modular forms $mod ℓ$ with applications to Siegel modular forms

Siegfried Böcherer, Soumya Das

We study several aspects of nonvanishing Fourier coefficients of elliptic modular forms $mod ℓ$ , partially answering a question of Bellaïche-Soundararajan concerning the asymp…

math.ST2020

On Construction of Higher Order Kernels Using Fourier Transforms and Covariance Functions

Soumya Das, Subhajit Dutta, Radhenduhska Srivastava

In this paper, we show that a suitably chosen covariance function of a continuous time, second order stationary stochastic process can be viewed as a symmetric higher order kernel.…

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…

On the Inertia Conjecture and its generalizations

Jacobi forms and differential operators: odd weights

The first negative eigenvalue of Yoshida lifts

Hecke-Siegel type threshold for square-free Fourier coefficients: an improvement

Bounds for the Petersson norms of the pullbacks of Saito-Kurokawa lifts

Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients

On Fourier coefficients of elliptic modular forms modℓ with applications to Siegel modular forms

On Construction of Higher Order Kernels Using Fourier Transforms and Covariance Functions

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

On Fourier coefficients of elliptic modular forms $mod ℓ$ with applications to Siegel modular forms