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Sums of Numbers with Small Partial Quotients II

✍ Scribed by S. Astels

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
131 KB
Volume
91
Category
Article
ISSN
0022-314X

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✦ Synopsis

For m Β₯ Z + let F(m) be the set of numbers with an infinite continued fraction expansion where all partial quotients, except possibly the first, do not exceed m. In 1975, James Hlavka conjectured that F( )+F( ) ] R. We shall disprove Hlavka's conjecture, showing that in fact F(5) Β± F(2)=R.

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