The Frobenius problem for Mersenne numerical semigroups

被引：27
|
作者：
Rosales, J. C. [1 ]
Branco, M. B. [2 ]
Torrao, D. [3 ]
机构：
[1] Univ Granada, Dept Algebra, E-18071 Granada, Spain
[2] Univ Evora, Dept Math, P-7000 Evora, Portugal
[3] Univ Evora, P-7000 Evora, Portugal
来源：
MATHEMATISCHE ZEITSCHRIFT | 2017年 / 286卷 / 1-2期
关键词：
Mersenne numbers; Numerical semigroup; Frobenius number; Pseudo-Frobenius number; Genus; Embedding dimension; Type;
D O I：
10.1007/s00209-016-1781-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give formulas for the embedding dimension, the Frobenius number, the type and the genus for a numerical semigroups generated by the Mersenne numbers greater than or equal to a given Mersenne number.
引用
收藏
页码：741 / 749
页数：9
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