The lattice properties of asymmetric hyperbolic regions
1948 ◽
Vol 44
(1)
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pp. 1-7
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Keyword(s):
Let θ > 0 and α ≠ 0 be real numbers, and let θ be irrational. Khintchine has shown, by the use of continued fractions, that there is an infinite number of pairs of positive integers (p, q) which satisfy the inequalityfor any given K > 5−½; and, more recently, Jogin has shown the same is still true with K = 5−½. The condition that p and q shall be positive is, of course, essential, as otherwise there is the classical result K = ¼ due to Minkowski.
1966 ◽
Vol 62
(4)
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pp. 637-642
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Keyword(s):
1974 ◽
Vol 76
(1)
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pp. 173-181
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Keyword(s):
1983 ◽
Vol 94
(1)
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pp. 9-22
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Keyword(s):
1965 ◽
Vol 14
(3)
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pp. 239-241
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1962 ◽
Vol 13
(2)
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pp. 143-152
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1950 ◽
Vol 46
(1)
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pp. 19-27
Keyword(s):
1970 ◽
Vol 67
(1)
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pp. 67-74
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Keyword(s):
1981 ◽
Vol 33
(4)
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pp. 946-960
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1965 ◽
Vol 17
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pp. 616-626
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Keyword(s):
1977 ◽
Vol 16
(1)
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pp. 125-129
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