2 papers
math.NT2022
Factoring Numbers with elliptic curves
Jorge Jimenez Urroz, Jacek Pomykala
In the present paper we provide a probabilistic polynomial time algorithm that reduces the complete factorization of any squarefree integer to counting points on elliptic curve…
math.NT2020
Primes represented by quadratic polynomials via exceptional characters
Fernando Chamizo, Jorge Jiménez Urroz
We estimate the number of primes represented by a general quadratic polynomial with discriminant , assuming that the corresponding real character is exceptional.