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math.NT2023
Bad witnesses for a composite number
Johnathan Djella Legnongo, Tony Ezome, Florian Luca
We describe the average sizes of the set of bad witnesses for a pseudo-primality test which is the product of a multiple-rounds Miller-Rabin test by the Galois test.
math.NT2023
Rational Points of some genus curves from the rank quotient strategy
Tony Ezome, Brice Miayoka Moussolo, Régis Freguin Babindamana
In 1922, Mordell conjectured that the set of rational points on a smooth curve over with genus is finite. This has been proved by Faltings in 1983. Howev…