2 citations · 6 across the 28 of their papers we have counts for
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A Note on the Quartic Diophantine Equation
Ajai Choudhry
Integer solutions of the diophantine equation are known for all positive integer values of . While a solution of the aforementioned diophantine equati…
A parametrised family of Mordell curves
Ajai Choudhry, Arman Shamsi Zargar
An elliptic curve defined by an equation of the type is called a Mordell curve. We obtain a parametrised family of Mordell curves whose rank, in general, is at least th…
An Ancient Diophantine Equation with applications to Numerical Curios and Geometric Series
Ajai Choudhry, Jarosław Wróblewski
In this paper we examine the diophantine equation where is a positive integer , and consider its applications. While the complete solution of the equation…
A new approach to the Tarry-Escott problem
Ajai Choudhry
In this paper we describe a new method of obtaining ideal solutions of the well-known Tarry-Escott problem, that is, the problem of finding two distinct sets of integers $x_i,\;i=1…
Equal Sums of Like Powers with Minimum Number of Terms
Ajai Choudhry
This paper is concerned with the diophantine system, where and are integers such that the tota…