On the number of numerical semigroups 〈a,b〉 of prime power genus

Given g ≥1, the number n ( g ) of numerical semigroups S ⊂ℕ of genus |ℕ∖ S | equal to g is the subject of challenging conjectures of Bras-Amorós. In this paper, we focus on the counting function n ( g ,2) of two-generator numerical semigroups of genus g , which is known to also count certain special...

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Bibliographic Details

Published in:	Semigroup forum Vol. 87; no. 1; pp. 171 - 186
Main Authors:	Eliahou, Shalom, Ramírez Alfonsín, Jorge
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.08.2013
Subjects:	Algebra Mathematics Mathematics and Statistics Research Article Special factorizations Sylvester’s theorem RSA Gap number Euclidean algorithm Continued fractions
ISSN:	0037-1912, 1432-2137
Online Access:	Get full text
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