23 citations · 57 across the 35 of their papers we have counts for
15 papers · 1 filter
Closing the gap around the essential minimum of height functions with linear programming
José Burgos Gil, Ricardo Menares, Binggang Qu +1
For many common height functions, it is notoriously hard to compute the essential minimum. Nevertheless there are two classical methods, one giving lower bounds and the other givin…
Approximation of adelic divisors and equidistribution of small points
François Ballaÿ, Martín Sombra
We study the asymptotic distribution of the Galois orbits of generic sequences of algebraic points of small height in a projective variety over a number field. Our main result is a…
Limit heights and special values of the Riemann zeta function
Roberto Gualdi, Martín Sombra
We study the distribution of the height of the intersection between the projective line defined by the linear polynomial and its translate by a torsion point. W…
Orbits of Polynomial Dynamical Systems Modulo Primes
Mei-Chu Chang, Carlos D'Andrea, Alina Ostafe +2
We present lower bounds for the orbit length of reduction modulo primes of parametric polynomial dynamical systems defined over the integers, under a suitable hypothesis on its set…
An arithmetic Bernštein-Kušnirenko inequality
César Martínez, Martín Sombra
We present an upper bound for the height of the isolated zeros in the torus of a system of Laurent polynomials over an adelic field satisfying the product formula. This upper bound…
Quantitative equidistribution of Galois orbits of small points in the N-dimensional torus
Carlos D'Andrea, Marta Narváez-Clauss, Martín Sombra
We present a quantitative version of Bilu's theorem on the limit distribution of Galois orbits of sequences of points of small height in the -dimensional algebraic torus. Our re…