Diophantine exponents and the Khintchine Groshev theorem

Anish Ghosh

doi:10.1007/s00605-010-0239-3

Diophantine exponents and the Khintchine Groshev theorem

Anish Ghosh

School of Mathematics

Research output: Contribution to journal › Article

11 Citations (Scopus)

Abstract

We prove the convergence case of the Khintchine–Groshev theorem for affine subspaces and their nondegenerate submanifolds, answering a conjecture of D. Kleinbock.

Original language	English
Pages (from-to)	281-299
Number of pages	19
Journal	Monatshefte für Mathematik
Volume	163
Issue number	3
DOIs	https://doi.org/10.1007/s00605-010-0239-3
Publication status	Published - Jul 2011

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10.1007/s00605-010-0239-3

Cite this

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title = "Diophantine exponents and the Khintchine Groshev theorem",

abstract = "We prove the convergence case of the Khintchine–Groshev theorem for affine subspaces and their nondegenerate submanifolds, answering a conjecture of D. Kleinbock.",

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AB - We prove the convergence case of the Khintchine–Groshev theorem for affine subspaces and their nondegenerate submanifolds, answering a conjecture of D. Kleinbock.

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JO - Monatshefte für Mathematik

JF - Monatshefte für Mathematik

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