On Sylvester sums of compound sequence semigroup complements
Number Theory
2018-03-09 v3
Abstract
In this paper, we consider the set of natural numbers which are not in the numerical semigroup generated by a compound sequence . We generalize a result of Tuenter which completely characterizes . 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.
Keywords
Cite
@article{arxiv.1612.04766,
title = {On Sylvester sums of compound sequence semigroup complements},
author = {Thomas A. Gassert and Caleb M. Shor},
journal= {arXiv preprint arXiv:1612.04766},
year = {2018}
}
Comments
17 pages, revised, originally submitted for publication December '16