N. Darsana

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20242026

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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…

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…

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

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