论文标题
由二次序列产生的数值半群
Numerical Semigroups Generated by Quadratic Sequences
论文作者
论文摘要
我们研究了由任何二次序列产生的数值半群，其初始项为零和无限的项。我们找到一种有效的算法来计算APéry集合，以及APéry集元素的界限。我们还发现了Frobenius数量和属的边界，以及Frobenius数量和属的渐近行为。最后，我们发现所有这些数值半群的嵌入维度。
We investigate numerical semigroups generated by any quadratic sequence with initial term zero and an infinite number of terms. We find an efficient algorithm for calculating the Apéry set, as well as bounds on the elements of the Apéry set. We also find bounds on the Frobenius number and genus, and the asymptotic behavior of the Frobenius number and genus. Finally, we find the embedding dimension of all such numerical semigroups.
