K. Mallesham

collaborators

3 papers

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}{…

math.NT2017

On monochromatic representation of sums of squares of primes

Kummari Mallesham, Gyan Prakash, D. S Ramana

When the sequences of squares of primes is coloured with $K$ colours, where $K \geq 1$ is an integer, let $s (K)$ be the smallest integer such that each sufficiently large integer c…