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Start Over Author "Shallit, Jeffrey" Topic frobenius number Publisher de gruyter
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1. Unbounded Discrepancy in Frobenius Numbers.

Author

Shallit, Jeffrey and Stankewicz, James

Subjects
*MATHEMATICS, *ARITHMETIC, *PRIME numbers, *NATURAL numbers, *FROBENIUS groups, *FROBENIUS algebras
Abstract

Let gj denote the largest integer that is represented exactly j times as a non-negative integer linear combination of { x1, . . . , xn}. We show that for any k > 0, and n == 5, the quantity g0 -- gk is unbounded. Furthermore, we provide examples with g0 > gk for n ≥≥ 6 and g0 > g1 for n ≥≥ 4. [ABSTRACT FROM AUTHOR]

Published
2011
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