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math.NT2026
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 ma…
math.NT2024
Binary Cyclotomic Polynomials: Representation via Words and Algorithms
Antonio Cafure, Eda Cesaratto
Cyclotomic polynomials are basic objects in Number Theory. Their properties depend on the number of distinct primes that intervene in the factorization of their order, and the bina…