17 citations · 62 across the 15 of their papers we have counts for
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math.NT2015
A p-adic Perron-Frobenius Theorem
Robert Costa, Patrick Dynes, Clayton Petsche
We prove that if an matrix defined over (or more generally an arbitrary complete, discretely-valued, non-Archimedean field) satisfies a certain congruen…
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…