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The k ‐dimensional Duffin and Schaeffer conjecture
Author(s) -
Pollington A. D.,
Vaughan R. C.
Publication year - 1990
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300012900
Subject(s) - conjecture , mathematics , citation , library science , mathematics education , combinatorics , computer science
In 1941 Duffin and Schaeffer [2] considered the case k = 1 of the assertion that when the statement; ( A k ) “For almost all there are infinitely many natural numbers q for which there exist integers a 1 ,…, a k such that ( a 1 … a k , q ) = 1 and where holds, if, and only if, diverges.