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math.NT2022
Rational quadrilaterals
Ajai Choudhry
A quadrilateral is said to be rational if its four sides, the two diagonals and the area are all expressible by rational numbers. The problem of constructing rational quadrilateral…
math.NT2022★ 1 cited
Ideal solutions of the Tarry-Escott Problem of degree seven
Ajai Choudhry
In this paper we obtain four new parametric ideal solutions of the Tarry-Escott problem of degree 7, that is, of the simultaneous diophantine equations, $\sum_{i=1}^8x_i^r=\sum_{i=…
math.NT2022
An octic diophantine equation and related families of elliptic curves
Ajai Choudhry, Arman Shamsi Zargar
We obtain two parametric solutions of the diophantine equation where is the octic form defined by $ϕ(x_1, x_2, x_3)=x_1^8+ x_…