Vandita Patel

activity

20152026

most citedPerfect powers that are sums of consecutive cubes

12 citations · 31 across the 12 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.NT2019

On perfect powers that are sums of cubes of a seven term arithmetic progression

Alejandro Argáez-García, Vandita Patel

We prove that the equation $(x - 3 r)^{3} + (x - 2 r)^{3} + (x - r)^{3} + x^{3} + (x + r)^{3} + (x + 2 r)^{3} + (x + 3 r)^{3} = y^{p}$ only has solutions which satisfy $x y = 0$ for $1 \leq r \leq 1 0^{6}$ and $p \geq 5$ prime…

math.NT2019

A Lucas-Lehmer approach to generalised Lebesgue-Ramanujan-Nagell equations

Vandita Patel

We describe a computationally efficient approach to resolving equations of the form $C_{1} x^{2} + C_{2} = y^{n}$ in coprime integers, for fixed values of $C_{1}$ , $C_{2}$ subject to further co…