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math.NT2007★ 9 cited
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…
math.NT2007
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…