Energy Integrals Over Local Fields and Global Height Bounds

DOI10.1093/imrn/rnt250zbMath1319.49020arXiv1306.3544OpenAlexW2964175351MaRDI QIDQ5246401

Paul Fili, Clayton Petsche

Publication date: 21 April 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3544

zbMATH Keywords

local fields\(p\)-adic numbersWeil heightenergy minimization problem

Mathematics Subject Classification ID

Heights (11G50) Other generalizations (nonlinear potential theory, etc.) (31C45) Dynamical systems over non-Archimedean local ground fields (37P20)

Related Items (8)

Constructing totally p-adic numbers of small height ⋮ Energy integrals and small points for the Arakelov height ⋮ A dynamical construction of small totally \(p\)-adic algebraic numbers ⋮ Log-Coulomb gases in the projective line of a \(p\)-field ⋮ Height of algebraic units under splitting conditions ⋮ Height bounds for algebraic numbers satisfying splitting conditions ⋮ Quantitative height bounds under splitting conditions ⋮ Equidistribution and the heights of totally real and totally p-adic numbers

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