Totally \(T\)-adic functions of small height

DOI10.4171/RLM/911zbMath1465.11162arXiv2003.05205OpenAlexW3132569364MaRDI QIDQ2039118

Xander Faber, Clayton Petsche

Publication date: 2 July 2021

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05205

zbMATH Keywords

function fieldsheightsarithmetic dynamicsalgebraic number theory

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Heights (11G50)

Uses Software

• SageMath

Cites Work

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• Factorization of certain cyclotomic functions
• A dynamical construction of small totally \(p\)-adic algebraic numbers
• On the heights of totally \(p\)-adic numbers
• A note on heights in certain infinite extensions of \(\mathbb Q\)
• A construction for prime ideals as absolute values of an algebraic field
• The Probability That a Random Monicp-adic Polynomial Splits
• Small totally p-adic algebraic numbers
• On the product of the conjugates outside the unit circle of an algebraic number

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