Homogeneous diophantine approximation in \(S\)-integers

DOI10.2140/pjm.1992.152.211zbMath0725.11032OpenAlexW2037485452MaRDI QIDQ2277510

Edward B. Burger

Publication date: 1992

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1992.152.211

zbMATH Keywords

transference theoremsadelic polar bodybadly approximable S-systemsring of S-integerssimultaneous approximations of linear forms

Mathematics Subject Classification ID

Adèle rings and groups (11R56) Simultaneous homogeneous approximation, linear forms (11J13) Algebraic numbers; rings of algebraic integers (11R04) Nonconvex bodies (11H16) Mean value and transfer theorems (11H60)

Related Items (8)

Badly approximable \(S\)-numbers and absolute Schmidt games ⋮ Diophantine approximation in number fields and geometry of products of symmetric spaces ⋮ Small solutions to systems of linear congruences over number fields ⋮ Singular vectors on manifolds over totally real number fields ⋮ Diagonal approximation in completions of \(\mathbb{Q}\) ⋮ SIMULTANEOUS APPROXIMATION BY CONJUGATE ALGEBRAIC NUMBERS IN FIELDS OF TRANSCENDENCE DEGREE ONE ⋮ Badly approximable vectors, curves and number fields ⋮ Singular vectors and geometry at infinity of products of hyperbolic spaces

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