Sampurna Pal

most citedSecond moment of degree three

L

-functions

7 citations · 7 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2025

On shifted convolution sums of $GL (3)$ -Fourier coefficients with an average over shifts

Ritwik Pal, Sampurna Pal

Let $F$ be a Hecke-Maass cusp form for $SL_{3} (Z)$ and $A (m, n)$ be its normalized Fourier coefficients. Let $V$ be a smooth function, compactly supported on $[1, 2]$ …

math.NT2022★ 7 cited

Second moment of degree three $L$ -functions

Sampurna Pal

Let $F$ be a Hecke-Maaß cusp form for $SL (3, Z)$ . We obtain the first non-trivial upper bound of the second moment of $L (F, s)$ in $t$ -aspect: $$\int_{T}^{2T}|L(F,1…

On shifted convolution sums of GL(3)-Fourier coefficients with an average over shifts

Second moment of degree three L-functions

On shifted convolution sums of $GL (3)$ -Fourier coefficients with an average over shifts

Second moment of degree three $L$ -functions