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math.NT2017
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…
math.NT2017
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…