Bibliographic Details
| Title: |
On Sylvester sums of compound sequence semigroup complements. |
| Authors: |
Gassert, T. Alden1 thomas.gassert@wne.edu, Shor, Caleb McKinley1 cshor@wne.edu |
| Source: |
Journal of Number Theory. Nov2017, Vol. 180, p45-72. 28p. |
| Subjects: |
Natural numbers, Weierstrass-Stone theorem, Algebraic equations, Sylvester matrix equations, Integers |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
