Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772598 | Journal of Number Theory | 2017 | 21 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
T. Alden Gassert, Caleb McKinley Shor,