1,698 research outputs found
Numerical semigroups problem list
We propose a list of open problems in numerical semigroups.Comment: To appear in the CIM Bulletin, number 33. (http://www.cim.pt/) 13
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On a conjecture of Wilf about the Frobenius number
Given coprime positive integers , the Frobenius number is
the largest integer which is not representable as a non-negative integer
combination of the . Let denote the number of all non-representable
positive integers: Wilf conjectured that . We prove
that for every fixed value of the conjecture
holds for all values of which are sufficiently large and are not
divisible by a finite set of primes. We also propose a generalization in the
context of one-dimensional local rings and a question on the equality
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