Linear diophantine equations with cyclic coefficient matrices and its applications to Riemann surfaces
1985 ◽
Vol 28
(3)
◽
pp. 369-380
Keyword(s):
Let co, c1, …, cn-1 be the nonzero complex numbers and let C = (cu+1,v+1) = (cn+u-v), O≦u,v≦n — 1, be a cyclic matrix, where n + u — v is taken modulo n. In this paper we shall give the solution of the linear equationswhere Lu (0≦u≦n —1) is a fixed complex number. In Theorem 1 weshall give a necessary and sufficient condition for (1) to have an integral solution.
1977 ◽
Vol 28
(4)
◽
pp. 679-696
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1970 ◽
Vol 11
(1)
◽
pp. 81-83
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1990 ◽
Vol 32
(2)
◽
pp. 180-192
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1990 ◽
Vol 42
(2)
◽
pp. 315-341
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1979 ◽
Vol 31
(2)
◽
pp. 255-263
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1973 ◽
Vol 25
(5)
◽
pp. 1078-1089
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1978 ◽
Vol 26
(1)
◽
pp. 31-45
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1972 ◽
Vol 18
(2)
◽
pp. 129-136
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1981 ◽
Vol 89
(1-2)
◽
pp. 25-50
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