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Borosh, I.; Treybig, L. B.

Bounds on positive solutions of linear diophantine equations. (English) Zbl 0291.10014

Proc. Am. Math. Soc. 55, 299-304 (1976).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0291.10014

Cited in 3 Reviews
Cited in 70 Documents

MSC:

11D04 Linear Diophantine equations
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References:

[1] Wolfgang Haken, Theorie der Normalflächen, Acta Math. 105 (1961), 245 – 375 (German). , https://doi.org/10.1007/BF02559591 Horst Schubert, Bestimmung der Primfaktorzerlegung von Verkettungen, Math. Z. 76 (1961), 116 – 148 (German). , https://doi.org/10.1007/BF01210965 Wolfgang Haken, Ein Verfahren zur Aufspaltung einer 3-Mannigfaltigkeit in irreduzible 3-Mannigfaltigkeiten, Math. Z. 76 (1961), 427 – 467 (German). · Zbl 0111.18803 · doi:10.1007/BF01210988
[2] A. J. Goldman and A. W. Tucker, Polyhedral convex cones, Linear equalities and related systems, Annals of Mathematics Studies, no. 38, Princeton University Press, Princeton, N. J., 1956, pp. 19 – 40. · Zbl 0072.37504
[3] Olvi L. Mangasarian, Nonlinear programming, McGraw-Hill Book Co., New York-London-Sydney, 1969. · Zbl 0126.36505
[4] Ivan Niven and Herbert S. Zuckerman, An introduction to the theory of numbers, Second edition, John Wiley & Sons, Inc., New York-London-Sydney, 1966. · Zbl 0154.04002
[5] Wolfgang Haken, Theorie der Normalflächen, Acta Math. 105 (1961), 245 – 375 (German). , https://doi.org/10.1007/BF02559591 Horst Schubert, Bestimmung der Primfaktorzerlegung von Verkettungen, Math. Z. 76 (1961), 116 – 148 (German). , https://doi.org/10.1007/BF01210965 Wolfgang Haken, Ein Verfahren zur Aufspaltung einer 3-Mannigfaltigkeit in irreduzible 3-Mannigfaltigkeiten, Math. Z. 76 (1961), 427 – 467 (German). · Zbl 0111.18803 · doi:10.1007/BF01210988
[6] L. B. Treybig, Bounds in piecewise linear topology, Trans. Amer. Math. Soc. 201 (1975), 383 – 405. · Zbl 0301.57009
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