Nadir Murru

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20112026

most citedOn the p-adic denseness of the quotient set of a polynomial image

12 citations · 86 across the 51 of their papers we have counts for

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math.NT2019

A note on the use of Rédei polynomials for solving the polynomial Pell equation and its generalization to higher degrees

Nadir Murru

The polynomial Pell equation is \[P^2 - D Q^2 = 1\] where $D$ is a given integer polynomial and the solutions $P, Q$ must be integer polynomials. A classical paper of Nathanson \ci…

math.NT2019

Simultaneous approximations to p-adic numbers and algebraic dependence via multidimensional continued fractions

Nadir Murru, Lea Terracini

Unlike the real case, there are not many studies and general techniques for providing simultaneous approximations in the field of $p$ --adic numbers $Q_{p}$ . Here, we study th…

math.NT2019

On the finiteness and periodicity of the $p$ --adic Jacobi--Perron algorithm

Nadir Murru, Lea Terracini

Multidimensional continued fractions (MCFs) were introduced by Jacobi and Perron in order to obtain periodic representations for algebraic irrationals, as it is for continued fract…

A note on the use of Rédei polynomials for solving the polynomial Pell equation and its generalization to higher degrees

Simultaneous approximations to p-adic numbers and algebraic dependence via multidimensional continued fractions

On the finiteness and periodicity of the p--adic Jacobi--Perron algorithm

On the finiteness and periodicity of the $p$ --adic Jacobi--Perron algorithm