P. K. Bhoi

most citedOn the resolution of the Diophantine equation

U_{n} + U_{m} = x^{q}

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

collaborators

2 papers

math.NT2022★ 2 cited

On the resolution of the Diophantine equation $U_{n} + U_{m} = x^{q}$

P. K. Bhoi, S. S. Rout, G. K. Panda

Suppose that $(U_{n})_{n \geq 0}$ is a binary recurrence sequence and has a dominant root $α$ with $α > 1$ and the discriminant $D$ is square-free. In this paper, we study the Diopha…

math.NT2021

Sums of $S$ -units in sum of terms of recurrence sequences

P. K. Bhoi, S. S. Rout, G. K. Panda

Let $S := {p_{1}, \dots, p_{ℓ}}$ be a finite set of primes and denote by $U_{S}$ the set of all rational integers whose prime factors are all in $S$ . Let $(U_n)_{n\geq 0…

On the resolution of the Diophantine equation Un​+Um​=xq

Sums of S-units in sum of terms of recurrence sequences

On the resolution of the Diophantine equation $U_{n} + U_{m} = x^{q}$

Sums of $S$ -units in sum of terms of recurrence sequences