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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