English

An estimate for Frobenius' diophantine problem in three dimensions

Number Theory 2011-05-10 v1

Abstract

We give upper and lower bounds for the largest integer not representable as positive linear combination of three given integers, disproving an upper bound conjectured by Beck, Einstein and Zacks.

Keywords

Cite

@article{arxiv.1105.1457,
  title  = {An estimate for Frobenius' diophantine problem in three dimensions},
  author = {Jan-Christoph Schlage-Puchta},
  journal= {arXiv preprint arXiv:1105.1457},
  year   = {2011}
}
R2 v1 2026-06-21T18:04:05.768Z