2 citations · 6 across the 28 of their papers we have counts for
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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…
Expressing an integer as a sum of cubes of polynomials
Ajai Choudhry
In this paper we prove that there exist infinitely many integers which can be expressed as a sum of four cubes of polynomials with integer coefficients. We give several identities…
Circles with four rational points in geometric progression
Ajai Choudhry
A set of rational points on a curve is said to be in geometric progression if either the abscissae or the ordinates of the points are in geometric progression. Examples of three po…
Finite sequences of integers expressible as sums of two squares
Ajai Choudhry, Bibekananda Maji
This paper is concerned with finite sequences of integers that may be written as sums of squares of two nonzero integers. We first find infinitely many integers such that $n, n…
Two pairs of biquadrates with equal sums
Ajai Choudhry
In this paper we present a new method of solving the classical diophantine equation . Two methods of solving this equation, given by Euler, yield parametric soluti…