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math.NT2020
On the number of simultaneous solutions of certain diagonal equations over finite fields
Mariana Pérez, Melina Privitelli
In this paper we obtain explicit estimates and existence results on the number of -rational solutions of certain systems defined by families of diagonal equations ove…
math.CO2020
Average-case complexity of the Euclidean algorithm with a fixed polynomial over a finite field
Nardo Giménez, Guillermo Matera, Mariana Pérez +1
We analyze the behavior of the Euclidean algorithm applied to pairs (g,f) of univariate nonconstant polynomials over a finite field F_q of q elements when the highest-degree polyno…