S. S. Rout

activity

20162026

most citedOn the resolution of the Diophantine equation

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

2 citations · 3 across the 10 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.NT2020

Cullen numbers in sums of terms of recurrence sequence

Nabin Kumar Meher, Sudhansu Sekhar Rout

Let $(U_{n})_{n \geq 0}$ be a fixed linear recurrence sequence of integers with order at least two, and for any positive integer $ℓ$ , let $ℓ \cdot 2^{ℓ} + 1$ be a Cullen numb…

math.NT2020

$S$ -parts of sums of terms of linear recurrence sequences

S. S. Rout, N. K. Meher

Let $S = {p_{1}, \dots, p_{s}}$ be a finite, non-empty set of distinct prime numbers and $(U_{n})_{n \geq 0}$ be a linear recurrence sequence of integers of order $r$ . For any posit…

math.NT2020

Multiple Lucas Dirichlet series associated to additive and Dirichlet characters

Nabin Kumar Meher, Sudhansu Sekhar Rout

In this article, we obtain the analytic continuation of the multiple shifted Lucas zeta function, multiple Lucas $L$ -function associated to Dirichlet characters and additive charac…

Cullen numbers in sums of terms of recurrence sequence

S-parts of sums of terms of linear recurrence sequences

Multiple Lucas Dirichlet series associated to additive and Dirichlet characters

$S$ -parts of sums of terms of linear recurrence sequences