English

On a Generalization of the Frobenius Number

Number Theory 2010-01-07 v2

Abstract

We consider a generalization of the Frobenius Problem where the object of interest is the greatest integer which has exactly jj 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.

Keywords

Cite

@article{arxiv.1001.0207,
  title  = {On a Generalization of the Frobenius Number},
  author = {Alexander Brown and Eleanor Dannenberg and Jennifer Fox and Joshua Hanna and Katherine Keck and Alexander Moore and Zachary Robbins and Brandon Samples and James Stankewicz},
  journal= {arXiv preprint arXiv:1001.0207},
  year   = {2010}
}

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5 pages