A Banach space determined by the Weil height

DOI10.4064/aa136-3-6zbMath1228.11101arXiv0808.1038OpenAlexW3106474345MaRDI QIDQ5504533

Jeffrey D. Vaaler, Daniel Allcock

Publication date: 22 January 2009

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1038

zbMATH Keywords

Weil height

Mathematics Subject Classification ID

Heights (11G50) Diophantine inequalities (11J25) Isometric theory of Banach spaces (46B04) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (12)

A Weil Banach algebra for multiplicative algebraic numbers ⋮ A classification of $\mathbb{Q}$-valued linear functionals on $\overline{\mathbb{Q}}^{\times }$ modulo units ⋮ Direct limits of adèle rings and their completions ⋮ Greatest common divisors for polynomials in almost units and applications to linear recurrence sequences ⋮ Norms extremal with respect to the Mahler measure ⋮ Unnamed Item ⋮ Siegel fields ⋮ Heights on groups and small multiplicative dependencies ⋮ Heights, regulators and Schinzel’s determinant inequality ⋮ Multiplicative approximation by the Weil height ⋮ Orthogonal decomposition of the space of algebraic numbers and Lehmer's problem ⋮ On the non-archimedean metric Mahler measure

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