K. Mallesham

activity

20172022

collaborators

Showing math.NTShow all

7 papers · 1 filter

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.

math.NT2019

On pairs of quadratic forms in five variables

Kummari Mallesham

In this article, we obtain an upper bound for the number of integral solutions, of given height, of system of two quadratic forms in five variables. Our bound is an improvement ove…

math.NT2017

Primes in Sumsets

Kummari Mallesham

We obtain an upper bound for the number of pairs $(a, b) \in A \times B$ such that $a + b$ is a prime number, where $A, B \subseteq {1, ..., N}$ with $|A||B| \, \gg \frac{N^2}{…