On Diophantine approximations of dependent quantities in the \(p\)-adic case

DOI10.1023/A:1022165815830zbMath1037.11047OpenAlexW33304581MaRDI QIDQ1810271

È. I. Kovalevskaya, Victor V. Beresnevich

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022165815830

zbMATH Keywords

Diophantine approximationplane curveHaar measure\(p\)-adic integersMahler normal function

Mathematics Subject Classification ID

Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60) Continuous, (p)-adic and abstract analogues (11K41) Approximation in non-Archimedean valuations (11J61)

Related Items (8)

\(S\)-arithmetic inhomogeneous Diophantine approximation on manifolds ⋮ Diophantine Inheritance for $p$-adic measures ⋮ \(S\)-arithmetic Khintchine-type theorem ⋮ Metric Diophantine approximation over a local field of positive characteristic ⋮ Simultaneous p-adic Diophantine approximation ⋮ Simultaneous Diophantine approximation in non-degenerate \(p\)-adic manifolds ⋮ Multiplicative p-adic metric Diophantine approximation on manifolds and dichotomy of exponents ⋮ On approximation of \(p\)-adic numbers by \(p\)-adic algebraic numbers

This page was built for publication: On Diophantine approximations of dependent quantities in the \(p\)-adic case