Pramath Anamby

activity

20202025

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

10 citations · 14 across the 9 of their papers we have counts for

collaborators

10 papers

math.NT2025

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels

Pramath Anamby, Soumya Das

We prove the following statement about any Siegel modular form $F$ of degree $n$ and arbitrary odd level $N$ on the group $Γ_{0}^{(n)} (N)$ . Let $A (F, T)$ denote the Fourier coeffici…

math.NT2025

Pullbacks of Saito-Kurokawa lifts of square-free levels, their non-vanishing and the $L^{2}$ -mass

Pramath Anamby, Soumya Das

We obtain the full spectral decomposition of the pullback of a Saito-Kurokawa (SK) newform $F$ of odd, square-free level; and show that the projections onto the elements $\mathbf g…

math.NT2024

New and old Saito-Kurokawa lifts classically via $L^{2}$ norms and bounds on their supnorms: level aspect

Pramath Anamby, Soumya Das

In the first half of the paper, we lay down a classical approach to the study of Saito-Kurokawa (SK) lifts of (Hecke congruence) square-free level, including the allied new-oldform…

math.NT2024

Determination of a pair of newforms from the product of their twisted central values

Pramath Anamby, Ritwik Pal

We show that a pair of newforms $(f, g)$ can be uniquely determined by the product of the central $L$ -values of their twists. To achieve our goal, we prove an asymptotic formula for…

math.NT2022★ 3 cited

Jacobi forms, Saito-Kurokawa lifts, their Pullbacks and sup-norms on average

Pramath Anamby, Soumya Das

We formulate a precise conjecture about the size of the $L^{\infty}$ -mass of the space of Jacobi forms on $H_{n} \times C^{g \times n}$ of matrix index $S$ of size $g$ .…

math.NT2021

Non-vanishing of theta components of Jacobi forms with level and an application

Pramath Anamby

We prove that a non--zero Jacobi form of arbitrary level $N$ and square--free index $m_{1} m_{2}$ with $m_{1} ∣ N$ and $(N, m_{2}) = 1$ has a non--zero theta component $h_{μ}$ with either $(μ,2m_1…

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…

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels

Pullbacks of Saito-Kurokawa lifts of square-free levels, their non-vanishing and the L2-mass

New and old Saito-Kurokawa lifts classically via L2 norms and bounds on their supnorms: level aspect

Determination of a pair of newforms from the product of their twisted central values

Jacobi forms, Saito-Kurokawa lifts, their Pullbacks and sup-norms on average

Non-vanishing of theta components of Jacobi forms with level and an application

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

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

Pullbacks of Saito-Kurokawa lifts of square-free levels, their non-vanishing and the $L^{2}$ -mass

New and old Saito-Kurokawa lifts classically via $L^{2}$ norms and bounds on their supnorms: level aspect