R. Padhy

collaborators

4 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.NT2026

Uniform bounds on $S$ -integral points in backward orbits

R. Padhy, S. S. Rout

Let $K$ be a number field with algebraic closure $K$ and let $S$ be a finite set of places of $K$ containing all the archimedean places. It is known from Silverman's res…

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…

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…

Quantitative bounds on integrality for post-critically finite maps

Uniform bounds on S-integral points in backward orbits

Uniform bounds on S-integral preperiodic points for chebyshev polynomials

Sum of terms of recurrence sequences in the solution sets of generalized Pell equations

Uniform bounds on $S$ -integral points in backward orbits

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