9 citations · 9 across the 4 of their papers we have counts for
4 papers
Prime power terms in elliptic divisibility sequences
Valéry Mahé
We consider a particular case of an analog for elliptic curves to the Mersenne problem : finding explicitely all prime power terms in an elliptic divisibility sequence when descent…
A Generalization of Siegel's Theorem and Hall's Conjecture
Graham Everest, Valery Mahe
Consider an elliptic curve, defined over the rational numbers, and embedded in projective space. The rational points on the curve are viewed as integer vectors with coprime coordin…
The uniform primality conjecture for elliptic curves
Graham Everest, Patrick Ingram, Valery Mahe +1
An elliptic divisibility sequence, generated by a point in the image of a rational isogeny, is shown to possess a uniformly bounded number of prime terms. This result applies over…
Using hyperelliptic curves to find positive polynomials that are not a sum of three squares in R(x, y)
Valéry Mahé
This article deals with a quantitative aspect of Hilbert's seventeenth problem: producing a collection of real polynomials in two variables of degree 8 in one variable which are po…