A quantitative Khintchine-Groshev theorem for \(S\)-arithmetic Diophantine approximation
From MaRDI portal
Publication:6057054
DOI10.1016/j.indag.2023.06.009arXiv2205.06425OpenAlexW4383558525WikidataQ122943313 ScholiaQ122943313MaRDI QIDQ6057054
Publication date: 25 October 2023
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.06425
Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60) Approximation in non-Archimedean valuations (11J61) Homogeneous flows (37A17)
Cites Work
- Unnamed Item
- Unnamed Item
- Ultrametric logarithm laws. II
- Flows on homogeneous spaces and Diophantine approximation on manifolds
- Quantitative Diophantine approximation with congruence conditions
- \(S\)-arithmetic inhomogeneous Diophantine approximation on manifolds
- On the Duffin-Schaeffer conjecture
- Flows on \(S\)-arithmetic homogeneous spaces and applications to metric Diophantine approximation
- A quantitative Khintchine-Groshev type theorem over a field of formal series
- Khintchine's problem in metric diophantine approximation
- \(S\)-arithmetic Khintchine-type theorem
- An extension of the Khinchin–Groshev theorem
- On the Frequency of Small Fractional Parts in Certain Real Sequences
- On the Frequency of Small Fractional Parts in Certain Real Sequences. II
- Some results on diophantine approximation
- A Metrical Theorem in Diophantine Approximation
- A Metrical Theorem In Geometry of Numbers
- Classical Metric Diophantine Approximation Revisited: The Khintchine-Groshev Theorem
- Metric Diophantine approximation with congruence conditions
- Effective Density for Inhomogeneous Quadratic Forms I: Generic Forms and Fixed Shifts
- Über die metrische Theorie der diophantischen Approximation II
- Values of inhomogeneous forms at S ‐integral points
This page was built for publication: A quantitative Khintchine-Groshev theorem for \(S\)-arithmetic Diophantine approximation