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Complexity of the Frobenius problem

✍ Scribed by J. L. Ramírez-Alfonsín


Publisher
Springer-Verlag
Year
1996
Tongue
English
Weight
189 KB
Volume
16
Category
Article
ISSN
0209-9683

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📜 SIMILAR VOLUMES


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✍ Pamela A Ferguson 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 518 KB
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Suppose \(a, b, c\) are three positive integers with \(\mathrm{gcd}=1\). We consider the function \(f(a, b, c)\) defined to be the largest integer not representable as a positive integral linear combination of \(a, b, c\). We give a new lower bound for \(f(a, b, c)\) which is shown to be tight, and

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✍ Vsevolod F. Lev 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 347 KB

concerning the well-known diophantine problem of Frobenius was given an exact solution for linear forms with the set of coefficients of density 1 2 (or more). In the present paper, we advance this up to the density 1 3 .