N. Darsana

activity

20242026

collaborators

4 papers

math.NT2026

Prime ideal divisors of parametric recurrence sequences

Darsana N, Sudhansu Sekhar Rout

We prove new arithmetic results for parametric linear recurrence sequences specialized at roots of unity, denoted by $(U_{n} (I^¶))_{n \geq 0}$ . In particular, we obtain effective lower…

math.NT2025

Diophantine Equations for Polynomial Recursive Sequences

Darsana N, Sudhansu Sekhar Rout

We study the Diophantine equation of type $U_{n} (x) = V_{m} (y)$ , where $(U_{n})_{n \geq 0}$ and $(V_{m})_{m \geq 0}$ are polynomial power sums defined over a number field $K$ . By applying the…

math.NT2025

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 and $S$ -units in the solution sets of norm form equations

Darsana N, S. S. Rout

In this paper, we prove two results related to the solutions of norm form equations. Firstly, we give a finiteness result for sums of terms of linear recurrence sequences appearing…

Prime ideal divisors of parametric recurrence sequences

Diophantine Equations for Polynomial Recursive Sequences

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

Sum of terms of recurrence sequences and S-units in the solution sets of norm form equations

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

Sum of terms of recurrence sequences and $S$ -units in the solution sets of norm form equations