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arXiv · 1001.0207

On a Generalization of the Frobenius Number

Alexander Brown·Eleanor Dannenberg·Jennifer Fox·Joshua Hanna·Katherine Keck·Alexander Moore·Zachary Robbins·Brandon Samples·James Stankewicz
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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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Alexander Brown, Eleanor Dannenberg, Jennifer Fox, Joshua Hanna, Katherine Keck, Alexander Moore, Zachary Robbins, Brandon Samples, James Stankewicz. 2010-01-07. On a Generalization of the Frobenius Number. https://arxiv.org/abs/1001.0207

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