An Inhomogeneous Minimum For Non-Convex Star-Regions With Hexagonal Symmetry
1955 ◽
Vol 7
◽
pp. 337-346
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Keyword(s):
1. Introduction. Several authors have proved theorems of the following type:Let x0, y0 be any real numbers. Then for certain functions f(x, y), there exist numbers x, y such that1.1 x ≡ x0, y ≡ y0 (mod 1),and1.2 .The first result of this type, but with replaced by min , was given by Barnes (3) for the case when the function is an indefinite binary quadratic form. A generalisation of this was proved by elementary geometry by K. Rogers (6).
1969 ◽
Vol 9
(3-4)
◽
pp. 363-386
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1981 ◽
Vol 89
(2)
◽
pp. 225-235
◽
1983 ◽
Vol 94
(1)
◽
pp. 1-8
◽
1992 ◽
Vol 112
(1)
◽
pp. 7-19
◽
1967 ◽
Vol 63
(2)
◽
pp. 277-290
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1949 ◽
Vol 197
(1049)
◽
pp. 256-268
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Keyword(s):
1988 ◽
Vol 30
(1)
◽
pp. 75-85
◽
1983 ◽
Vol 94
(1)
◽
pp. 9-22
◽
Keyword(s):
1981 ◽
Vol 31
(2)
◽
pp. 175-188
◽
1963 ◽
Vol 15
◽
pp. 412-421
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