S. S. Rout

activity

20132026

most citedOn the resolution of the Diophantine equation

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

2 citations · 5 across the 17 of their papers we have counts for

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math.NT2024

Zeros and $S$ -units in sums of terms of recurrence sequences in function fields

Darsana N, S. S. Rout

Let $(U_{n})_{n \geq 0}$ be a non-degenerate linear recurrence sequence with order at least two defined over a function field and $O_{S}^{*}$ be the set of $S$ -units. In this pa…

math.NT2024

Sum of terms of recurrence sequences in the solution sets of generalized Pell equations

Pritam Kumar Bhoi, Rudranarayan Padhy, Sudhansu Sekhar Rout

Let $(X_{k})_{k \geq 1}$ and $(Y_{k})_{k \geq 1}$ be the sequence of $X$ and $Y$ -coordinates of the positive integer solutions $(x, y)$ of the equation $x^{2} - d y^{2} = t$ . In this paper…

Zeros and S-units in sums of terms of recurrence sequences in function fields

Sum of terms of recurrence sequences in the solution sets of generalized Pell equations

Zeros and $S$ -units in sums of terms of recurrence sequences in function fields