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
On the Extremal Aspect of the Frobenius Problem
β Scribed by Vsevolod F. Lev
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 347 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
β¦ Synopsis
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 .
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