Simultaneous Diophantine approximation in the real, complex and p–adic fields.

DOI10.1017/S0305004110000162zbMath1221.11159MaRDI QIDQ3586277

Detta Dickinson, Vasilii Bernik, Natalia Budarina

Publication date: 6 September 2010

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Diophantine approximationsimultaneous approximation\(p\)-adic numberscomplex numbersreal numbersmetrical theory

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Approximation in non-Archimedean valuations (11J61)

Related Items (11)

\(S\)-arithmetic inhomogeneous Diophantine approximation on manifolds ⋮ Integral polynomials with small discriminants and resultants ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Simultaneous p-adic Diophantine approximation ⋮ ОЦЕНКИ СВЕРХУ И СНИЗУ ДЛЯ КОЛИЧЕСТВА АЛГЕБРАИЧЕСКИХ ТОЧЕК В КОРОТКИХ ИНТЕРВАЛАХ ⋮ SIMULTANEOUS DIOPHANTINE APPROXIMATION IN R2 × C × Qp ⋮ Discriminants of polynomials in the Archimedean and non-Archimedean metrics ⋮ On the number of polynomials with small discriminants in the Euclidean and \(p\)-adic metrics ⋮ On the rate of convergence to zero of the measure of extremal sets in metric theory of transcendental numbers

Cites Work

• Über das Mass der Menge aller \(S\)-Zahlen
• On approximation of \(p\)-adic numbers by \(p\)-adic algebraic numbers
• On a theorem of Sprindžuk

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