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For numerical semigroups with three generators, we study the asymptotic behavior of weighted factorization lengths, that is, linear functionals of the coefficients in the factorizations of semigroup elements. This work… Click to show full abstract
For numerical semigroups with three generators, we study the asymptotic behavior of weighted factorization lengths, that is, linear functionals of the coefficients in the factorizations of semigroup elements. This work generalizes many previous results, provides more natural and intuitive proofs, and yields a completely explicit error bound.
Keywords:
weighted factorization;
factorization lengths;
numerical semigroups;
factorization length;
length distribution;
factorization
Journal Title: Communications in Algebra
Year Published: 2022
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!