10 citations · 11 across the 6 of their papers we have counts for
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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 of degree and arbitrary odd level on the group . Let denote the Fourier coeffici…
Pullbacks of Saito-Kurokawa lifts of square-free levels, their non-vanishing and the -mass
Pramath Anamby, Soumya Das
We obtain the full spectral decomposition of the pullback of a Saito-Kurokawa (SK) newform of odd, square-free level; and show that the projections onto the elements $\mathbf g…
New and old Saito-Kurokawa lifts classically via 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…
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 can be uniquely determined by the product of the central -values of their twists. To achieve our goal, we prove an asymptotic formula for…
Hecke-Siegel type threshold for square-free Fourier coefficients: an improvement
Pramath Anamby, Soumya Das
We prove that if is a non zero cusp form of weight on with character such that square-free, then there exists a square-free $n\ll_ε k^…
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 is bounded by . This i…