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On the number of numerical semigroups
containing two coprime integers p and q
Hellus, Michael and Waldi, Rolf
(2014)
On the number of numerical semigroupscontaining two coprime integers p and q. Preprintreihe der Fakultät Mathematik 11/2014, Working Paper.
Date of publication of this fulltext: 27 Jun 2016 06:33
Monograph
Abstract
We show that the number of numerical semigroups containing two given coprime numbers p and q agrees with a quasipolynomial in q of degree exactly p−1 and having constant leading coefficient lying between 1 (p−1)!·p! and
1 (p−1)·p! .
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Details
| Item type | Monograph (Working Paper) |
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik |
|---|---|
| Volume: | 11/2014 |
| Date | 2014 |
| Institutions | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Rolf Waldi |
| Keywords | Numerical semigroup, Ehrhart quasipolynomial, rational polytope, lattice path |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | Unknown |
| Refereed | No, this version has not been refereed yet (as with preprints) |
| Created at the University of Regensburg | Yes |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-339494 |
| Item ID | 33949 |
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