On a Generalization of the Frobenius Number
Alexander Brown, Eleanor Dannenberg, Jennifer Fox, Joshua Hanna,
Alexander Moore, Zachary Robbins, Brandon Samples, and
Department of Mathematics
University of Georgia
Athens, GA 30602
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.
Full version: pdf,
Received April 29 2009;
revised version received January 7 2010.
Published in Journal of Integer Sequences, January 8 2010.
Journal of Integer Sequences home page