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The p-Frobenius Number for the Triple of the Generalized Star Numbers
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Journal Article
The p-Frobenius Number for the Triple of the Generalized Star Numbers
2024
Overview
In this paper, we give closed-form expressions of the p-Frobenius number for the triple of the generalized star numbers an(n−1)+1 for an integer a≥4. When a=6, it is reduced to the famous star number. For the set of given positive integers a1,a2,…,ak, the p-Frobenius number is the largest integer N whose number of non-negative integer representations N=a1x1+a2x2+⋯+akxk is at most p. When p=0, the 0-Frobenius number is the classical Frobenius number, which is the central topic of the famous linear Diophantine problem of Frobenius.
Publisher
MDPI AG
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