The conjecture that the maximum Frobenius discrepancy for three generators is 14
The conjecture that the maximum Frobenius discrepancy for three generators is 14
Let denote the relevant Frobenius-number discrepancy quantity for a set of generators, and let be the corresponding maximum discrepancy over sets of cardinality three. The example
shows that .
Frobenius discrepancy conjecture for three generators.
The paper states that the value of is not known; the displayed example supplies only the upper bound, so the equality remains open.
Sources & referencesView supporting material
Primary source
Jeffrey Shallit and James Stankewicz, “Unbounded discrepancy in Frobenius numbers”, arXiv:1003.0021 (2010).
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