The Frobenius problem for the numerical semigroup generated by (bk−1)⋅bn+i+1+bn+i−1b−1i∈N
Source abstract
Abstract
Let k, b, n be positive integers such that b ≥ 2 and 1≤k≤bn−1b−1. Denote by S(k, b, n) the numerical semigroup generated by (bk−1)⋅bn+i+1+bn+i−1b−1i∈N. In this paper, we give formulas for computing the embedding dimension, the Frobenius number, and the genus of S(k, b, n).
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Research context
OpenAlex topics: Commutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic Geometry and Number Theory
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Affiliations
School of Mathematics and Statistics, Zhaoqing University , Zhaoqing, Guangdong 526061,
Funding
National Natural Science Foundation of China · Natural Science Foundation of Guangdong Province · Cultivation Program for Highlevel Project of Zhaoqing University · Innovative Research Team Project of Zhaoqing University and the Special Fund of Guangdong University Students’ Science and Technology Innovation Cultivation · Science and Technology Innovation Guidance Projects of Zhaoqing City
References (11)
Show source-provided references
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