S. Rout

activity

20242026

collaborators

Showing 2024Show all

2 papers · 1 filter

math.NT2024

Sums of S-units in X-coordinates of Pell equations

Parvathi S Nair, Sudhansu Sekhar Rout

Let $S$ be a fixed set of primes and let $(X_{l})_{l \geq 1}$ be the $X$ -coordinates of the positive integer solutions $(X, Y)$ of the Pell equation $X^{2} - d Y^{2} = 1$ corresponding to…

math.NT2024

Uniform bounds on $S$ -integral preperiodic points for chebyshev polynomials

Rudranarayan Padhy, Sudhansu Sekhar Rout

Let $K$ be a number field with algebraic closure $K ˉ$ , let $S$ be a finite set of places of $K$ containing the archimedean places, and let $φ$ be Chebyshev polynomial. In this…

Sums of S-units in X-coordinates of Pell equations

Uniform bounds on S-integral preperiodic points for chebyshev polynomials

Uniform bounds on $S$ -integral preperiodic points for chebyshev polynomials