On Sylvester sums of compound sequence semigroup complements

JOURNAL OF NUMBER THEORY

卷:180

Article

Gassert, T. Alden¹  Shor, Caleb McKinley¹ 

[1] Western New England Univ, Dept Math, Springfield, MA 01119 USA

关键词: Sylvester sums;    Numerical semigroups;    Compound sequences;    Non-representable numbers;    Frobenius number;    Weierstrass points;    Towers;    Superelliptic curves;   

DOI  :  10.1016/j.jnt.2017.03.025

来源: Elsevier

【 摘 要 】

In this paper, we consider the set NR(G) of natural numbers which are not in the numerical semigroup generated by a compound sequence G. We generalize a result of Tuenter which completely characterizes NR(G). We use this result to compute Sylvester sums, and we give a direct application to the computation of weights of higher-order Weierstrass points on some families of complex algebraic curves. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free