The square Frobenius number

Volume: 105, Issue: 1, Pages: 149 - 171
Published: Jun 13, 2022
Abstract
Let $S=\left\langle s_1,\ldots ,s_n\right\rangle be a numerical semigroup generated by the relatively prime positive integers s_1,\ldots ,s_n . Let k\geqslant 2 be an integer. In this paper, we consider the following k-power variant of the Frobenius number of S defined as \begin{aligned} {}^{k\!}r\!\left( S\right) := \text { the largest } k \text {-power integer not belonging to } S. \end{aligned} In this paper, we investigate...
Paper Details
Title
The square Frobenius number
Published Date
Jun 13, 2022
Volume
105
Issue
1
Pages
149 - 171
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