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The Frobenius problem for Thabit numerical semigroups
- Source :
- Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos), Agência para a Sociedade do Conhecimento (UMIC)-FCT-Sociedade da Informação, instacron:RCAAP
- Publication Year :
- 2015
- Publisher :
- Elsevier BV, 2015.
-
Abstract
- Let n be a positive integer and T ( n ) the numerical semigroup generated by { 3.2 n + i − 1 | i ∈ N } . In this paper, we give formulas for the Frobenius number, the gender, the embedding dimension and the type of T ( n ) .
- Subjects :
- Discrete mathematics
Combinatorics
Thabit numbers, numerical semigroup, Frobenius number, Pseudo-Frobenius number, genus, embedding dimension, type
symbols.namesake
Algebra and Number Theory
Coin problem
Numerical semigroup
Frobenius algebra
symbols
Embedding
Frobenius group
Mathematics
Frobenius theorem (real division algebras)
Subjects
Details
- ISSN :
- 0022314X
- Volume :
- 155
- Database :
- OpenAIRE
- Journal :
- Journal of Number Theory
- Accession number :
- edsair.doi.dedup.....31219bfb145921627ce94ac795a73cc8
- Full Text :
- https://doi.org/10.1016/j.jnt.2015.03.006