9 citations · 17 across the 6 of their papers we have counts for
6 papers
Periodic representations for cubic irrationalities
Marco Abrate, Stefano Barbero, Umberto Cerruti +1
In this paper we present some results related to the problem of finding periodic representations for algebraic numbers. In particular, we analyze the problem for cubic irrationalit…
Squaring the magic squares of order 4
Stefano Barbero, Umberto Cerruti, Nadir Murru
In this paper, we present the problem of counting magic squares and we focus on the case of multiplicative magic squares of order 4. We give the exact number of normal multiplicati…
Accelerations of generalized Fibonacci sequences
Marco Abrate, Stefano Barbero, Umberto Cerruti +1
In this paper we study how to accelerate the convergence of the ratios (x_n) of generalized Fibonacci sequences. In particular, we provide recurrent formulas in order to generate s…
Fixed Sequences for a Generalization of the Binomial Interpolated Operator and for some Other Operators
Marco Abrate, Stefano Barbero, Umberto Cerruti +1
This paper is devoted to the study of eigen-sequences for some important operators acting on sequences. Using functional equations involving generating functions, we completely sol…
A Generalization of the Binomial Interpolated Operator and its Action on Linear Recurrent Sequences
Stefano Barbero, Umberto Cerruti, Nadir Murru
In this paper we study the action of a generalization of the Binomial interpolated operator on the set of linear recurrent sequences. We find how the zeros of characteristic polyno…
Generalized Rédei rational functions and rational approximations over conics
Stefano Barbero, Umberto Cerruti, Nadir Murru
In this paper we study a general class of conics starting from a quotient field. We give a group structure over these conics generalizing the construction of a group over the Pell…