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math.NT2014
Quadratic diophantine equations with applications to quartic equations
Ajai Choudhry
In this paper we first show that, under certain conditions, the solution of a single quadratic diophantine equation in four variables can be expressed…
math.NT2014★ 1 cited
Constructions of diagonal quartic and sextic surfaces with infinitely many rational points
Andrew Bremner, Ajai Choudhry, Maciej Ulas
In this note we construct several infinite families of diagonal quartic surfaces \begin{equation*} ax^4+by^4+cz^4+dw^4=0, \end{equation*} where with in…