12 citations · 86 across the 51 of their papers we have counts for
4 papers · 1 filter
On the Hermite problem for cubic irrationalities
Nadir Murru
In this paper, the Hermite problem has been approached finding a periodic representation (by means of periodic rational or integer sequences) for any cubic irrationality. In other…
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…