S. S. Rout

collaborators

3 papers

math.NT2026

Quantitative bounds on integrality for post-critically finite maps

Rudranarayan Padhy, Sudhansu Sekhar Rout

Let $K$ be a number field with algebraic closure $K$ and let $S$ be a finite set of places of $K$ that contain all the archimedean places. For an integer $d \geq 2$ , cons…

math.NT2025

On the number of irreducible representations of $\so(5)$

Saudamini Nayak, Nabin Kumar Meher, Sudhansu Sekhar Rout

Let $d (n)$ be the divisor function and it is well known that $\sum_{1 \leq n \leq x} d (n) = x lo g x + (2 I^^{3} - 1) x + O (x^{I^¸ + I^µ})$ where $I^^{3}$ is the Euler constant, $Îµ…

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…

Quantitative bounds on integrality for post-critically finite maps

On the number of irreducible representations of $\so(5)$

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

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