Diophantine Approximation and Horocyclic Groups
1957 ◽
Vol 9
◽
pp. 277-290
◽
Keyword(s):
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.
1964 ◽
Vol 4
(1)
◽
pp. 122-128
Keyword(s):
2018 ◽
Vol 107
(02)
◽
pp. 272-288
1966 ◽
Vol 62
(4)
◽
pp. 699-704
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Keyword(s):
1951 ◽
Vol 47
(1)
◽
pp. 18-21
◽
Keyword(s):
1984 ◽
Vol 30
(1)
◽
pp. 37-43
Keyword(s):
1981 ◽
Vol 31
(4)
◽
pp. 439-455
◽
Keyword(s):
1966 ◽
Vol 62
(1)
◽
pp. 33-42
Keyword(s):