Stefano Barbero

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20112026

most citedPeriodic representations for cubic irrationalities

9 citations · 50 across the 24 of their papers we have counts for

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math.NT2026

Periodicity and Period-Length Bounds for Browkin $p$ -Adic Continued Fractions

Stefano Barbero, Nadir Murru, Matilda Urani

Continued fractions have been introduced and studied in the field of $p$ --adic numbers by several authors, with the aim of developing analogues of the classical theory of real cont…

math.NT2024

Algebraic integers with continued fraction expansions containing palindromes and square roots with prescribed periods

Stefano Barbero, Umberto Cerruti, Nadir Murru +1

We present a characterization of the algebraic integers with continued fraction expansions of the form $[a_{0}, a_{1}, \dots, a_{n}, s]$ , where $(a_{1}, \dots, a_{n})$ is a pali…

math.NT2023

Some notes on the algebraic structure of linear recurrent sequences

Gessica Alecci, Stefano Barbero, Nadir Murru

Several operations can be defined on the set of all linear recurrent sequences, such as the binomial convolution (Hurwitz product) or the multinomial convolution (Newton product).…

math.NT2020

An isomorphism between the convolution product and the componentwise sum connected to the D'Arcais numbers and the Ramanujan tau function

Stefano Barbero, Umberto Cerruti, Nadir Murru

Given a commutative ring $R$ with identity, let $H_{R}$ be the set of sequences of elements in $R$ . We investigate a novel isomorphism between $(H_{R}, +)$ and $(H ~_{R}, *)$ , where…

math.NT2020

Approximations of algebraic irrationalities with matrices

Stefano Barbero, Umberto Cerruti, Nadir Murru

We discuss the use of matrices for providing sequences of rationals that approximate algebraic irrationalities. In particular, we study the regular representation of algebraic exte…

math.NT2020

Linear fractional transformations and non-linear leaping convergents of some continued fractions

Christopher Havens, Stefano Barbero, Umberto Cerruti +1

For $α_{0} = [a_{0}, a_{1}, \dots]$ an infinite continued fraction and $σ$ a linear fractional transformation, we study the continued fraction expansion of $σ (α_{0})$ and its c…

Periodicity and Period-Length Bounds for Browkin p-Adic Continued Fractions

Algebraic integers with continued fraction expansions containing palindromes and square roots with prescribed periods

Some notes on the algebraic structure of linear recurrent sequences

An isomorphism between the convolution product and the componentwise sum connected to the D'Arcais numbers and the Ramanujan tau function

Approximations of algebraic irrationalities with matrices

Linear fractional transformations and non-linear leaping convergents of some continued fractions

Periodicity and Period-Length Bounds for Browkin $p$ -Adic Continued Fractions