2 citations · 5 across the 6 of their papers we have counts for
7 papers
Factorization patterns and fields of definition of -torsion points on the Jacobians of genus 3 hyperelliptic curves
Amalia Pizarro-Madariaga, Edgardo Riquelme
Motivated by Schoof-Pila-type point-counting algorithms, we study the fields of definition and factorization patterns of Galois orbits of -torsion points on the Jacobians of…
Trinomials, singular moduli and Riffaut's conjecture
Yuri Bilu, Florian Luca, Amalia Pizarro-Madariaga
Riffaut (2019) conjectured that a singular modulus of degree cannot be a root of a trinomial with rational coefficients. We show that this conjecture follows from the GRH,…
Irreducible characters with bounded root Artin conductor
Amalia Pizarro-Madariaga
In this work, we prove that the growth of the Artin conductor is at most, exponential in the degree of the character.
On a divisibility relation for Lucas sequences
Yuri Bilu, Takao Komatsu, Florian Luca +2
In this note, we study the divisibility relation , where is the Lucas sequence of characteristic polynomial and $…
Rational Products of Singular Moduli
Yuri Bilu, Florian Luca, Amalia Pizarro-Madariaga
We determine couples of singular moduli which have rational products
CM-Points on Straight Lines
Bill Allombert, Yuri Bilu, Amalia Pizarro-Madariaga
We prove that, with "obvious" exceptions, a CM-point (j(τ),j(τ')) cannot belong to a straight line in C^2 defined over Q. This generalizes a result of Kühne, who proved this for th…
On shifted primes with large prime factors and their products
Florian Luca, Ricardo Menares, Amalia Pizarro-Madariaga
We estimate from below the lower density of the set of prime numbers p such that p-1 has a prime factor of size at least p^c, where c lies in between 1/4 and 1/2. We also establish…