12 citations · 31 across the 12 of their papers we have counts for
4 papers · 1 filter
On perfect powers that are sums of cubes of a three term arithmetic progression
Alejandro Argáez-García, Vandita Patel
Using only elementary arguments, Cassels and Uchiyama (independently) determined all squares that are sums of three consecutive cubes. Zhongfeng Zhang extended this result and dete…
Perfect powers that are sums of consecutive squares
Vandita Patel
We determine all perfect powers that can be written as the sum of at most 10 consecutive squares.
On perfect powers that are sums of two Fibonacci numbers
Florian Luca, Vandita Patel
We study the equation , where and are respectively the -th and -th Fibonacci numbers and . We find all solutions under the assumption $n…
On the difference between permutation polynomials over finite fields
Nurdagül Anbar, Almasa Oduzak, Vandita Patel +3
The well-known Chowla and Zassenhaus conjecture, proven by Cohen in 1990, states that if , then there is no complete mapping polynomial in $\Fp[x]$ of degree $d…