On Sylvester Sums of Compound Sequence Semigroup Complements

Authors

T. Alden Gassert
Caleb Shor, Western New England UniversityFollow

College

College of Arts and Sciences

Department

Mathematics

Publication Date

8-7-2017

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.

Recommended Citation

Gassert, T. Alden and Shor, Caleb, "On Sylvester Sums of Compound Sequence Semigroup Complements" (2017). Faculty Publications - College of Arts and Sciences. 18.
https://digitalcommons.law.wne.edu/casfacpubs/18