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Frobenius, Cartan, and the Problem of Pfaff

✍ Scribed by Thomas Hawkins


Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
393 KB
Volume
59
Category
Article
ISSN
0003-9519

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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