A. Choudhry

activity

20142026

most citedNew solutions of the Tarry-Escott problem of degrees 2, 3 and 5

2 citations · 6 across the 28 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.NT2020

A quartic diophantine equation inspired by Brahmagupta's identity

Ajai Choudhry, Iliya Bluskov, Alexander James

In this paper we obtain several parametric solutions of the quartic diophantine equation $(x_{1}^{4} + x_{2}^{4}) (y_{1}^{4} + y_{2}^{4}) = z_{1}^{4} + z_{2}^{4}$ . We also show how infinitely many parametric solut…

math.NT2020

Matrix morphology and composition of higher degree forms with applications to diophantine equations

Ajai Choudhry

In this paper we use matrices, whose entries satisfy certain linear conditions, to obtain composition identities $f (x_{i}) f (y_{i}) = f (z_{i})$ , where $f (x_{i})$ is an irreducible form, with…