1 citations · 1 across the 6 of their papers we have counts for
6 papers
On shifted convolution sums of -Fourier coefficients with an average over shifts
Ritwik Pal, Sampurna Pal
Let be a Hecke-Maass cusp form for and be its normalized Fourier coefficients. Let be a smooth function, compactly supported on …
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…
On the signs of Fourier coefficients of Hilbert cusp forms
Ritwik Pal
We prove that given any and a primitive adelic Hilbert cusp form of weight and full level, there exists an integral ideal $\ma…
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 of them used to embed the space of Jacobi forms of \textit{odd} weight and…
The first negative eigenvalue of Yoshida lifts
Soumya Das, Ritwik Pal
We prove that for any given , the first negative eigenvalue of the Yoshida lift of a pair of elliptic cusp forms having square-free levels (where has weight …
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, (for or ) of a non Saito--Kurokawa lift of degree . As a consequence, we obtain an Omega re…