Journal of Integer Sequences, Vol. 13 (2010), Article 10.1.4

On a Generalization of the Frobenius Number

Alexander Brown, Eleanor Dannenberg, Jennifer Fox, Joshua Hanna, Katherine Keck,
Alexander Moore, Zachary Robbins, Brandon Samples, and James Stankewicz
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,    dvi,    ps,    latex,     comments    

Received April 29 2009; revised version received January 7 2010. Published in Journal of Integer Sequences, January 8 2010.

Return to Journal of Integer Sequences home page