Oct 22, 2017 · Abstract. In this paper, we study the field of algebraic numbers with a set of elements of small height treated as a predicate.
Apr 11, 2019 · In this paper, we study the field of algebraic numbers with a set of elements of small height treated as a predicate.
Apr 11, 2019 · In this paper, we study the field of algebraic numbers with a set of elements of small height treated as a predicate.
Sep 3, 2015 · In this paper, we study the field of algebraic numbers with elements of small height. We first show that the nonstandard algebraic numbers whose ...
Last time we defined the height function H : Q → R, which sends a rational number a/b written in lowest form to H(a/b) := max(|a|,|b|).
We produce a lower bound for |α − 1| when α is an algebraic number with relatively small height. The bound is rather sharp in the dependence on the degree ...
Missing: elements | Show results with:elements
Duration: 1:38:10
Posted: Oct 2, 2022
Posted: Oct 2, 2022
Missing: elements | Show results with:elements
Let K be a CM-field. A. Schinzel proved ([Sch 1973]) that the Weil height of non-zero algebraic numbers in K is bounded from below by an absolute.
A height function is a function that quantifies the complexity of mathematical objects. In Diophantine geometry, height functions quantify the size of ...
Jan 21, 2021 · Bombieri and Zannier gave an effective construction of algebraic numbers of small height inside the maximal Galois extension of the rationals ...