A Jarník type theorem for planar curves: everything about the parabola

DOI10.1017/S0305004115000195zbMath1371.11118arXiv1309.7112MaRDI QIDQ5360325

Mumtaz Hussain

Publication date: 28 September 2017

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

Full work available at URL: https://arxiv.org/abs/1309.7112

Mathematics Subject Classification ID

Metric theory (11J83) Homogeneous approximation to one number (11J04)

Related Items (8)

The Generalized Baker–Schmidt Problem on Hypersurfaces ⋮ Hausdorff theory of dual approximation on planar curves ⋮ JARNÍK TYPE THEOREMS ON MANIFOLDS ⋮ SLOW GROWTH RATE OF THE DIGITS IN ENGEL EXPANSIONS ⋮ Diophantine approximation on the parabola with non-monotonic approximation functions ⋮ A Jarník-type theorem for a problem of approximation by cubic polynomials ⋮ An Inhomogeneous Jarn\'ik type theorem for planar curves ⋮ MULTIPLICATIVE DIOPHANTINE APPROXIMATION OF THE EXPANSIONS UNDER DIFFERENT BASES ON A LINE

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