Simultaneous diophantine approximation and asymptotic formulae on manifolds

DOI10.1006/jnth.1996.0079zbMath0858.11041OpenAlexW2005697975MaRDI QIDQ1915693

Bryan P. Rynne, J. A. G. Vickers, Maurice M. Dodson

Publication date: 25 March 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d970cdf1172f3abc2fadd08004a3f6ef90ac9e5e

zbMATH Keywords

asymptotic formulasimultaneous diophantine approximationdistribution modulo onesmall fractional partsKhnintchine's theoremnumber of integer solutions on a smooth submanifold

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

Related Items (4)

Rational points near manifolds and metric Diophantine approximation ⋮ SIMULTANEOUS DIOPHANTINE APPROXIMATION ON POLYNOMIAL CURVES ⋮ Diophantine approximation on rational quadrics ⋮ Simultaneous Diophantine approximation on manifolds and Hausdorff dimension

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