Simultaneous diophantine approximation in non-degenerate p-adic manifolds

Author:

Mohammadi A.,Salehi Golsefidy A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference31 articles.

1. A. Baker and W. M. Schmidt, Diophantine approximation and Hausdorff dimension, Proceedings of the London Mathematical Society 21 (1970), 1–11.

2. V. V. Beresnevich, On approximation of real numbers by real algebraic numbers, Acta Arithmetica 90 (1999), 97–112.

3. V. V. Beresnevich, An analogue of the Khintchine-Groshev theorem for curves in ℝn, Doklady Natsional’noĭ Akademii Nauk Belarusi 44 (2000), no. 3, 29–32 (Russian).

4. V. V. Beresnevich, An analogue of the Khintchine-Groshev theorem for nondegenerate manifolds in Rn, Doklady Natsional’noĭ Akademii Nauk Belarusi 44 (2000), no. 4, 42–45, 124 (Russian).

5. V. V. Beresnevich, A Groshev type theorem for convergence on manifolds, Acta Mathematica Hungarica 94 (2002), 99–130.

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1. Simultaneous p-adic Diophantine approximation;Mathematical Proceedings of the Cambridge Philosophical Society;2023-01-31

2. S-arithmetic inhomogeneous Diophantine approximation on manifolds;Advances in Mathematics;2022-05

3. Khintchine's theorem for affine hyperplanes in positive charateristic;Journal of Number Theory;2021-09

4. Multiplicative p-adic metric Diophantine approximation on manifolds and dichotomy of exponents;Bulletin de la Société mathématique de France;2020

5. An effective estimate for the measure of the set of p-adic numbers with a given order of approximation;International Journal of Number Theory;2019-10-25

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