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A Khintchine‐Type Theorem for Hyperplanes
Author(s) -
Ghosh Anish
Publication year - 2005
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610705006587
Subject(s) - hyperplane , type (biology) , mathematics , class (philosophy) , convergence (economics) , pure mathematics , discrete mathematics , combinatorics , computer science , artificial intelligence , economics , ecology , biology , economic growth
The convergence case of a Khintchine‐type theorem for a large class of hyperplanes is obtained. The approach to the problem is from a dynamical viewpoint, and a method due to Kleinbock and Margulis is modified to prove the result.