Asymptotic Diophantine approximation: the multiplicative case

DOI10.1007/s11139-016-9779-zzbMath1432.11074arXiv1407.0427OpenAlexW2964140345MaRDI QIDQ2398292

Martin Widmer

Publication date: 15 August 2017

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0427

zbMATH Keywords

Diophantine approximationLittlewood's conjecturecountingflowsreciprocals of fractional parts

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Simultaneous homogeneous approximation, linear forms (11J13) Small fractional parts of polynomials and generalizations (11J54) Products of linear forms (11H46) Homogeneous flows (37A17)

Related Items (2)

Counting multiplicative approximations ⋮ Sums of reciprocals of fractional parts

Cites Work

• Multiplicatively badly approximable numbers and generalised Cantor sets
• Invariant measures and the set of exceptions to Littlewood's conjecture
• Sums of products of fractional parts
• Badly approximable numbers and Littlewood-type problems
• ON MULTIPLICATIVELY BADLY APPROXIMABLE NUMBERS
• Counting primitive points of bounded height
• Metric Simultaneous Diophantine Approximation

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