Comptes Rendus
Combinatoire, Théorie des nombres
The Frobenius number associated with the number of representations for sequences of repunits
Takao Komatsu1 
1 Department of Mathematical Sciences, School of Science, Zhejiang Sci-Tech University, Hangzhou 310018 China
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 73-89.

The generalized Frobenius number is the largest integer represented in at most p ways by a linear combination of nonnegative integers of given positive integers a 1 ,a 2 ,⋯,a k . When p=0, it reduces to the classical Frobenius number. In this paper, we give the generalized Frobenius number when a j =(b n+j-1 -1)/(b-1) (b≥2) as a generalization of the result of p=0 in [16].

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DOI : 10.5802/crmath.394
Classification : 11D07, 05A15, 05A17, 05A19, 11B68, 11D04, 11P81
Takao Komatsu 1

1 Department of Mathematical Sciences, School of Science, Zhejiang Sci-Tech University, Hangzhou 310018 China
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {The {Frobenius} number associated with the number of representations for sequences of repunits},
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Takao Komatsu. The Frobenius number associated with the number of representations for sequences of repunits. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 73-89. doi : 10.5802/crmath.394. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.394/

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