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math.NT2025
Gaps in binary cyclotomic polynomials
Antonio Cafure, Eda Cesaratto
For odd prime numbers , let be the binary cyclotomic polynomial of order . In this paper, we prove that the second gap of is the maxi…
math.DS2025
Shannon Weights for binary dynamical recurrent sources of zero entropy
Ali Akhavi, Eda Cesaratto, Frédéric Paccaut +2
A probabilistic source is defined as the set of infinite words (over a given denumerable alphabet) endowed with a probability . The paper deals with general binary sources where…