Abstract
1. Introduction. Let ω be an irrational number. It is well known that there
exists a positive real number h such that the
inequality(1)has infinitely many solutions in coprime integers a and
c. A theorem of Hurwitz asserts that the set of all such
numbers h is a closed set with supremum √5. Various proofs
of these results are known, among them one by Ford (1), in which he makes
use of properties of the modular group. This approach suggests the following
generalization.
Publisher
Canadian Mathematical Society
Cited by
9 articles.
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