G. Prakash

activity

20052019

most citedLarge zero-free subsets of Z/pZ

3 citations · 5 across the 10 of their papers we have counts for

collaborators

10 papers

math.NT2019

On sum-product bases

Francois Hennecart, Gyan Prakash, E. Pramod

Besides various asymptotic results on the concept of sum-product bases in $N_{0}$ , we consider by probabilistic arguments the existence of thin sets $A, A^{'}$ of integers such…

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…

math.NT2014

A remark on a result of Helfgott, Roton and Naslund

Gyan Prakash

Let $F (X) = \prod_{i = 1}^{k} (a_{i} X + b_{i})$ be a polynomial with $a_{i}, b_{i}$ being integers. Suppose the discriminant of $F$ is non-zero and $F$ is admissible. Given any natural number $N$ ,…

math.NT2009★ 3 cited

Large zero-free subsets of Z/pZ

Jean-Marc Deshouillers, Gyan Prakash

A finite subset $A$ of an abelian group $G$ is said to be zero-free if the identity element of $G$ cannot be written as a sum of distinct elements from $A$ . In this article we stud…

math.NT2007

Sum-free subsets of finite abelian groups of type III

R. Balasubramanian, Gyan Prakash, D. S. Ramana

A finite abelian group $G$ of cardinality $n$ is said to be of type III if every prime divisor of $n$ is congruent to 1 modulo 3. We obtain a classification theorem for sum-free su…

math.NT2007★ 2 cited

Number of sets with small sumset and the clique number of random Cayley graphs

Gyan Prakash

Let $G$ be a finite abelian group of order $n$ . For any subset $B$ of $G$ with $B = - B$ , the Cayley graph $G_{B}$ is a graph on vertex set $G$ in which $ij$ is an edge if and only if $…