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math.NT2025
Integer Factorization: Another perspective
Gilda Rech Bansimba, Regis Freguin Babindamana
Integer factorization is a fundamental problem in algorithmic number theory and computer science. It is considered as a one way or trapdoor function in the (RSA) cryptosystem. To d…
math.NT2023
A New Hyperbola based Approach to factoring Integers
Gilda Rech Bansimba, Regis Freguin Babindamana, Basile Guy R. Bossoto
From the results in the literature, the algebraic set of the hyperbola with parameter defined by $\mathcal{B}_{n}(X, Y, Z)_{\mid_{x\geq 4n}}= \displaystyle \lbrace \left(X: Y:…
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…