A new extension of Minkowski's Theorem
1978 ◽
Vol 18
(3)
◽
pp. 403-405
◽
Let K be a closed convex set in the plane containing no nonzero point of the integral lattice. We show that if the area A(K) of K is equally distributed amongst the four principal quadrants of the plane, then A(K) < 4.
1980 ◽
Vol 21
(1)
◽
pp. 7-12
◽
Keyword(s):
1991 ◽
Vol 109
(2)
◽
pp. 405-417
◽
1961 ◽
Vol 13
◽
pp. 177-178
◽
Keyword(s):
1967 ◽
Vol 19
◽
pp. 312-320
◽
Keyword(s):
2020 ◽
Vol 489
(1)
◽
pp. 124121
1999 ◽
Vol 36
(02)
◽
pp. 523-545
◽
1985 ◽
Vol 10
(3)
◽
pp. 498-514
◽
2000 ◽
Vol 75
(1)
◽
pp. 79-111
◽