Vandita Patel

activity

20162026

most citedOn perfect powers that are sums of cubes of a three term arithmetic progression

10 citations · 19 across the 9 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NT2018

Shifted powers in Lucas-Lehmer sequences

Michael Bennett, Vandita Patel, Samir Siksek

We develop a general framework for finding all perfect powers in sequences derived by shifting non-degenerate quadratic Lucas-Lehmer binary recurrence sequences by a fixed integer.…

math.NT2018

Perfect Powers that are Sums of Squares of an Arithmetic Progression

Debanjana Kundu, Vandita Patel

In this paper, we determine all primitive solutions to the equation $(x + r)^{2} + (x + 2 r)^{2} + \dots + (x + d r)^{2} = y^{n}$ for $2 \leq d \leq 10$ and for $1 \leq r \leq 1 0^{4}$ . We make use of a fa…

math.NT2018

Perfect powers that are sums of squares in a three term arithmetic progression

Angelos Koutsianas, Vandita Patel

We determine primitive solutions to the equation $(x - r)^{2} + x^{2} + (x + r)^{2} = y^{n}$ for $1 \leq r \leq 5, 000$ , making use of a factorization argument and the Primitive Divisors Theorem…