E. Cesaratto

collaborators

3 papers

math.NT2026

Gaps in binary cyclotomic polynomials

Antonio Cafure, Eda Cesaratto

For odd prime numbers $p < q$ , let $I^¦_{pq} \in Z [X]$ be the binary cyclotomic polynomial of order $pq$ . In this paper, we prove that the second gap of $I^¦_{pq}$ is the ma…

math.PR2025

Poisson genericity in numeration systems with exponentially mixing probabilities

NicolÃ¡s Ãlvarez, VerÃ³nica Becher, Eda Cesaratto +3

We define Poisson genericity for infinite sequences in any finite or countable alphabet with an invariant exponentially-mixing probability measure. A sequence is Poisson generic if…

math.DS2025

Shannon Weights for binary dynamical recurrent sources of zero entropy

A probabilistic source is defined as the set of infinite words (over a given denumerable alphabet) endowed with a probability $I^¼$ . The paper deals with general binary sources wher…