On the number of numerical semigroups containing two coprime integers p and q

Hellus, M. and Waldi, R. (2015) On the number of numerical semigroups containing two coprime integers p and q. SEMIGROUP FORUM, 90 (3). pp. 833-842. ISSN 0037-1912, 1432-2137

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Abstract

We show that the number of numerical semigroups containing two given coprime numbers and agrees with a quasipolynomial in of degree exactly and having constant leading coefficient lying between 1/(p-1)!.p! and 1/(p-1)!.p!.

Item Type: Article
Uncontrolled Keywords: ; Numerical semigroup; Ehrhart quasipolynomial; Rational polytope; Lattice path
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Mathematics > Prof. Dr. Michael Hellus
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Jul 2019 07:27
Last Modified: 17 Jul 2019 07:27
URI: https://pred.uni-regensburg.de/id/eprint/5454

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