11 citations · 24 across the 5 of their papers we have counts for
6 papers
Remarks on Rémond's generalized Lehmer problems
Robert Grizzard
We draw connections between the various conjectures which are included in G. Rémond's generalized Lehmer problems. Specifically, we show that the degree one form of his conjecture…
Multiplicative approximation by the Weil height
Robert Grizzard, Jeffrey D. Vaaler
Let be an algebraic extension of fields, and let be contained in an algebraic closure of . If can be approximated by roots of numbers in $K^{\times…
Slicing the stars: counting algebraic numbers, integers, and units by degree and height
Robert Grizzard, Joseph Gunther
Masser and Vaaler have given an asymptotic formula for the number of algebraic numbers of given degree and increasing height. This problem was solved by counting lattice points…
Small points and free abelian groups
Robert Grizzard, Philipp Habegger, Lukas Pottmeyer
Let be an algebraic extension of the rational numbers and an elliptic curve defined over some number field contained in . The absolute logarithmic Weil height, respectiv…
Relative Bogomolov extensions
Robert Grizzard
An algebraic extension K of the rationals has the Bogomolov property if the absolute logarithmic height of non-torsion points of K* is bounded away from 0. We define a relative ext…
On the compositum of all degree d extensions of a number field
Itamar Gal, Robert Grizzard
Let k be a number field, and denote by k^[d] the compositum of all degree d extensions of k in a fixed algebraic closure. We first consider the question of whether all algebraic ex…