2 citations · 6 across the 28 of their papers we have counts for
36 papers
Construction of parametrized families of general pseudo-bimagic and bimagic squares
Ajai Choudhry
A magic square of order is a square array of distinct integers such that the integers of every row, every column and the two diagonals have the same common sum. If a magi…
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, , and , such that all the sums $a_i+b_j, i=1,…
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…
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 distinct squares such that, on excluding any one of them, the sum of the remaining squares is a square. While parametr…
The diophantine equation
Ajai Choudhry, Arman Shamsi Zargar
Since 1772, when Euler first described two methods of obtaining two pairs of biquadrates with equal sums, several methods of solving the diophantine equation have…
Expressing three consecutive integers as sums of three cubes
Ajai Choudhry
This paper is concerned with the problem of expressing three consecutive integers as sums of three cubes. We give several parametric solutions of the problem. We also give somewhat…