Constructing totally p-adic numbers of small height

DOI10.1142/S1793042122500294zbMath1493.11102arXiv2101.08631OpenAlexW3197376876WikidataQ114071925 ScholiaQ114071925MaRDI QIDQ5069076

Arno Fehm, Sara Checcoli

Publication date: 8 April 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.08631

zbMATH Keywords

height boundstotally \(p\)-adic numbers

Mathematics Subject Classification ID

Heights (11G50) Ramification and extension theory (11S15) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (1)

Height of algebraic units under splitting conditions

Cites Work

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• Diophantine approximation
• On the computation of the HNF of a module over the ring of integers of a number field
• 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 \(\mathbb Q\)
• Perturbation Analysis of the QR factor R in the context of LLL lattice basis reduction
• Heights and totally p-adic numbers
• Lecture Notes on Diophantine Analysis
• On the Measure of Totally Real Algebraic Integers. II
• Two new points in the spectrum of the absolute Mahler measure of totally positive algebraic integers
• Small totally p-adic algebraic numbers
• On the Northcott property and local degrees
• On the product of the conjugates outside the unit circle of an algebraic number
• Quantitative height bounds under splitting conditions
• Energy Integrals Over Local Fields and Global Height Bounds
• An LLL-reduction algorithm with quasi-linear time complexity
• Valued Fields

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