On a Generalization of the Frobenius Number.
Втр, 01/05/2010 - 16:01 — SomNambul
Abstract
Authors: Alexander Brown, Eleanor Dannenberg, Jennifer Fox, Joshua Hanna, Katherine Keck, Alexander Moore, Zachary Robbins, Brandon Samples, James Stankewicz
Subjects: Number Theory
link: http://arxiv.org/abs/1001.0207Subjects: Number Theory
Abstract
We consider a generalization of the Frobenius Problem where the object of
interest is the greatest integer which has 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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