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
USA

Abstract:

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.


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


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