Higher-rank Bohr sets and multiplicative diophantine approximation

DOI10.1112/S0010437X19007589zbMath1428.11133arXiv1810.04558WikidataQ127242903 ScholiaQ127242903MaRDI QIDQ5237206

Niclas Technau, Sam Chow

Publication date: 17 October 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.04558

zbMATH Keywords

metric Diophantine approximationadditive combinatoricsgeometry of numbersmultiplicative exponent of a vector

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Metric theory (11J83) Inhomogeneous linear forms (11J20)

Related Items (5)

FULLY INHOMOGENEOUS MULTIPLICATIVE DIOPHANTINE APPROXIMATION OF BADLY APPROXIMABLE NUMBERS ⋮ Counting multiplicative approximations ⋮ JARNÍK TYPE THEOREMS ON MANIFOLDS ⋮ Effective equidistribution for multiplicative Diophantine approximation on lines ⋮ The divergence Borel-Cantelli Lemma revisited

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