Geodesic
On a generalization of the Frobenius number
Journal of integer sequences, Tome 13 (2010) no. 1.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_1_a2/}
}
TY  - JOUR
AU  - Brown, Alexander
AU  - Dannenberg, Eleanor
AU  - Fox, Jennifer
AU  - Hanna, Joshua
AU  - Keck, Katherine
AU  - Moore, Alexander
AU  - Robbins, Zachary
AU  - Samples, Brandon
AU  - Stankewicz, James
TI  - On a generalization of the Frobenius number
JO  - Journal of integer sequences
PY  - 2010
VL  - 13
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2010__13_1_a2/
LA  - en
ID  - JIS_2010__13_1_a2
ER  - 
%0 Journal Article
%A Brown, Alexander
%A Dannenberg, Eleanor
%A Fox, Jennifer
%A Hanna, Joshua
%A Keck, Katherine
%A Moore, Alexander
%A Robbins, Zachary
%A Samples, Brandon
%A Stankewicz, James
%T On a generalization of the Frobenius number
%J Journal of integer sequences
%D 2010
%V 13
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2010__13_1_a2/
%G en
%F JIS_2010__13_1_a2
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/