15 citations · 33 across the 13 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.NT2015★ 2 cited
Quantitative height bounds under splitting conditions
Paul Fili, Lukas Pottmeyer
In an earlier work, the first author and Petsche used potential theoretic techniques to establish a lower bound for the height of algebraic numbers that satisfy splitting condition…
math.NT2015
Energy integrals and small points for the Arakelov height
Paul Fili, Clayton Petsche, Igor Pritsker
We study small points for the Arakelov height on the projective line. First, we identify the smallest positive value taken by the Arakelov height, and we characterize all cases of…
math.NT2015
Height bounds for algebraic numbers satisfying splitting conditions
Paul Fili, Igor Pritsker
In an earlier work, the first author and Petsche solved an energy minimization problem for local fields and used the result to obtain lower bounds on the height of algebraic number…