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FACTORIZATION LENGTH DISTRIBUTION FOR AFFINE SEMIGROUPS III: MODULAR EQUIDISTRIBUTION FOR NUMERICAL SEMIGROUPS WITH ARBITRARILY MANY GENERATORS
Published online by Cambridge University Press: 12 January 2021
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.
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- Research Article
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- © 2021 Australian Mathematical Publishing Association Inc.
Footnotes
Communicated by M. Giudici
The first author was partially supported by NSF grant DMS-1800123.
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