S. S. Rout

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20172026

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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 $\sum_{1 \leq n \leq x} d (n) = x lo g x + (2 γ - 1) x + O (x^{θ + ε})$ where $γ$ is the Euler constant, $ε > 0$ a…

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…

math.NT2021

Reduction of polynomial dynamical systems modulo primes

Sudhansu Sekhar Rout

We study the algebraic dynamical systems generated by triangular systems of rational functions and estimate the height growth of iterations generated by such systems. Further, usin…

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…