K. Mallesham

activity

20172026

GL(3) \times GL(2)

L

-functions:

GL(3)

-spectral aspect

6 citations · 6 across the 10 of their papers we have counts for

collaborators

11 papers

math.NT2026

Second moment of $GL(3) \times GL(2)$ $L$ --functions

Sumit Kumar, K. Mallesham, Suraj Panigrahy

For $M_{1}$ and $M_{2}$ two distinct primes, let $H_{k}^{⋆} (M_{1} M_{2}, ψ)$ denote the set of primitive newforms of level $M_{1} M_{2}$ , weight $k \geq 3$ and Nebentypus $ψ$ of conductor $M_{1}$ …

math.NT2023

Moments of derivatives of modular $L$ -functions

Sumit Kumar, Kummari Mallesham, Prahlad Sharma +1

Let $f$ be an Hecke eigenform for the group $Γ_{0} (q)$ and $χ_{d}$ be a primitive quadratic character of conductor $∣ d ∣$ . In this article, we prove an asymptotic for the second mom…

math.NT2022

Sub-Weyl strength bounds for twisted $G L (2)$ short character sums

Aritra Ghosh, Kummari Mallesham

Let $S (N) = n \sim N \sum smooth λ_{f} (n) χ (n),$ where $λ_{f} (n)$ 's are Fourier coefficients of Hecke-eigen form, and $χ$ is a primitive character of conductor $…

math.NT2021

Simultaneous non-vanishing of central values of $G L (2) \times G L (3)$ and $G L (3)$ $L$ -functions

Gopal Maiti, Kummari Mallesham

We study simultaneous non-vanishing of $L(\tfrac{1}{2},\di)$ and $L(\tfrac{1}{2},g\otimes \di)$, when $\di$ runs over an orthogonal basis of the space of Hecke-Maass cusp forms for…

math.NT2020

Subconvexity for $G L (3) \times G L (2)$ $L$ -functions in the depth aspect

Sumit Kumar, Kummari Mallesham, Saurabh Kumar Singh

In this article, we will prove subconvex bounds for $G L (3) \times G L (2)$ $L$ -functions in the depth aspect.

math.NT2020

Bounds for del Pezzo surfaces of degree two

Aritra Ghosh, Sumit Kumar, Kummari Mallesham +1

In this article, we obtain an upper bound for the number of integral points on the del Pezzo surfaces of degree two.

Second moment of GL(3)×GL(2) L--functions

Moments of derivatives of modular L-functions

Sub-Weyl strength bounds for twisted GL(2) short character sums

Simultaneous non-vanishing of central values of GL(2)×GL(3) and GL(3) L-functions