Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups

2021/08/13 by Stephan Ramon Garcia, Garcia, Stephan Ramon, Christopher O’Neill +3
Computer Science · Mathematics · #05E05 #20M14 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Control Systems and Analysis #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2108.06063

openalex publication_date 2021/08/13 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

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.

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