Lukas Pottmeyer

activity

20112021

p

-adic numbers

9 citations · 35 across the 12 of their papers we have counts for

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Showing 2019 · math.NTShow all

3 papers · 2 filters

math.NT2019★ 4 cited

On the behavior of Mahler's measure under iteration

Paul Fili, Lukas Pottmeyer, Mingming Zhang

For an algebraic number $α$ we denote by $M (α)$ the Mahler measure of $α$ . As $M (α)$ is again an algebraic number (indeed, an algebraic integer), $M (\cdot)$ is a self-map on $\over…

math.NT2019

Fields Generated by Finite Rank Subgroups of $Q^{*}$

Lukas Pottmeyer

Let $Γ$ be a finite rank subgroup of $Q^{*}$ . We prove that the multiplicative group of the field generated by all elements in the divisible hull of $Γ$ , is free…

math.NT2019★ 1 cited

Perfect powers in value sets and orbits of polynomials

Alina Ostafe, Lukas Pottmeyer, Igor E. Shparlinski

We show the finiteness of perfect powers in orbits of polynomial dynamical systems over an algebraic number field. We also obtain similar results for perfect powers represented by…

On the behavior of Mahler's measure under iteration

Fields Generated by Finite Rank Subgroups of Q​∗

Perfect powers in value sets and orbits of polynomials

Fields Generated by Finite Rank Subgroups of $Q^{*}$