11 citations · 15 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
Fast computation of a rational point of a variety over a finite field
Antonio Cafure, Guillermo Matera
We exhibit a probabilistic algorithm which computes a rational point of an absolutely irreducible variety over a finite field defined by a reduced regular sequence. Its time--space…
Improved explicit estimates on the number of solutions of equations over a finite field
Antonio Cafure, Guillermo Matera
We show explicit estimates on the number of --rational points of an --definable affine absolutely irreducible variety of the algebraic closure of the finite field of…