Totally \(p\)-adic numbers of small height in an abelian extension of \(\mathbb{Q}\)

DOI10.1007/s44007-023-00055-0OpenAlexW4383313844MaRDI QIDQ6093271

Emerald Stacy

Publication date: 6 October 2023

Published in: La Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s44007-023-00055-0

zbMATH Keywords

heightnumber fieldsGalois theorytotally \(p\)-adic

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Other algebras and orders, and their zeta and (L)-functions (11R54)

Cites Work

• Unnamed Item
• Height preserving linear transformations on semisimple \(K\)-algebras
• A lower bound for the height in abelian extensions
• Addendum to the paper "On the product of the conjugates outside the unit circle of an algebraic number"
• Totally p-adic numbers of degree 3

This page was built for publication: Totally \(p\)-adic numbers of small height in an abelian extension of \(\mathbb{Q}\)