Geodesic
On a generalization of the Frobenius number
Journal of integer sequences, Tome 13 (2010) no. 1
We consider a generalization of the Frobenius problem, where the object of interest is the greatest integer having exactly $j$ representations by a collection of positive relatively prime integers. We prove an analogue of a theorem of Brauer and Shockley and show how it can be used for computation.
Classification : 11D45, 45A05
Keywords: Frobenius problem, counting solutions of Diophantine equations, linear integral equations 
@article{JIS_2010__13_1_a2,
     author = {Brown,  Alexander and Dannenberg,  Eleanor and Fox,  Jennifer and Hanna,  Joshua and Keck,  Katherine and Moore,  Alexander and Robbins,  Zachary and Samples,  Brandon and Stankewicz,  James},
     title = {On a generalization of the {Frobenius} number},
     journal = {Journal of integer sequences},
     year = {2010},
     volume = {13},
     number = {1},
     zbl = {1193.11028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_1_a2/}
}
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AU  - Robbins,  Zachary
AU  - Samples,  Brandon
AU  - Stankewicz,  James
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Brown,  Alexander; Dannenberg,  Eleanor; Fox,  Jennifer; Hanna,  Joshua; Keck,  Katherine; Moore,  Alexander; Robbins,  Zachary; Samples,  Brandon; Stankewicz,  James. On a generalization of the Frobenius number. Journal of integer sequences, Tome 13 (2010) no. 1. http://geodesic.mathdoc.fr/item/JIS_2010__13_1_a2/