12 citations · 86 across the 51 of their papers we have counts for
4 papers · 2 filters
Groups and monoids of Pythagorean triples connected to conics
Marco Abrate, Stefano Barbero, Umberto Cerruti +1
We define operations that give the set of all Pythagorean triples a structure of commutative monoid. In particular, we define these operations by using injections between integer t…
Linear recurrence sequences and periodicity of multidimensional continued fractions
Nadir Murru
Multidimensional continued fractions generalize classical continued fractions with the aim of providing periodic representations of algebraic irrationalities by means of integer se…
Some combinatorial properties of the Hurwitz series ring
Stefano Barbero, Umberto Cerruti, Nadir Murru
We study some properties and perspectives of the Hurwitz series ring , for a commutative ring with identity . Specifically, we provide a closed form for the invertible…
Linear divisibility sequences and Salem numbers
Marco Abrate, Stefano Barbero, Umberto Cerruti +1
We study linear divisibility sequences of order 4, providing a characterization by means of their characteristic polynomials and finding their factorization as a product of linear…