A. Choudhry

collaborators

3 papers

math.NT2025

Two sets of integers such that all elements of the sumset of the two sets are perfect squares

Ajai Choudhry

This paper is concerned with the problem of finding two sets of integers, ${a_{1}, a_{2}, \dots$ , $a_{m}}$ and ${b_{1}, b_{2}, \dots, b_{n}}$ , such that all the $mn$ sums $a_i+b_j, i=1,…

math.NT2025

Three integers whose sum, product and the sum of the products of the integers, taken two at a time, are perfect squares

Ajai Choudhry

Euler had considered the problem of finding three integers whose sum, product, and also the sum of the products of the integers, taken two at a time, are all perfect squares. Euler…

math.NT2025

An arbitrary number of squares whose sum, on excluding any one of them, is also a square

Ajai Choudhry

This paper is concerned with the problem of finding $n$ distinct squares such that, on excluding any one of them, the sum of the remaining $n - 1$ squares is a square. While parametr…