FACTORIZATION LENGTH DISTRIBUTION FOR AFFINE SEMIGROUPS III: MODULAR EQUIDISTRIBUTION FOR NUMERICAL SEMIGROUPS WITH ARBITRARILY MANY GENERATORS

Stephan Ramon Garcia, Mohamed Omar, Christopher O’Neill, Timothy Wesley

Type: Article

Publication Date: 2021-01-12

Citations: 2

DOI: https://doi.org/10.1017/s1446788720000476

Abstract

Abstract For numerical semigroups with a specified list of (not necessarily minimal) generators, we describe the asymptotic distribution of factorization lengths with respect to an arbitrary modulus. In particular, we prove that the factorization lengths are equidistributed across all congruence classes that are not trivially ruled out by modular considerations.

Locations

Journal of the Australian Mathematical Society - View
arXiv (Cornell University) - View - PDF

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+	Local Rings of High Embedding Dimension	1967	Shreeram S. Abhyankar
+	ON DELTA SETS OF NUMERICAL MONOIDS	2006	CRAIG BOWLES Scott T. Chapman Nathan O. Kaplan Daniel Reiser
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