9 citations · 35 across the 12 of their papers we have counts for
Showing 2015 · math.NTShow all
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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★ 9 cited
Heights and totally -adic numbers
Lukas Pottmeyer
We study the behavior of canonical height functions , associated to rational maps , on totally -adic fields. In particular, we prove that there is a gap betwee…