Pramath Anamby

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

10 citations · 11 across the 3 of their papers we have counts for

collaborators

4 papers

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

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…