Geodesic
An estimate for Frobenius' Diophantine problem in three dimensions
Journal of integer sequences, Tome 8 (2005) no. 1
We give upper and lower bounds for the largest integer not representable as a positive linear combination of three given integers, disproving an upper bound conjectured by Beck, Einstein and Zacks.
Classification : 11D04
Keywords: Frobenius problem, linear Diophantine equations, Diophantine approximation 
@article{JIS_2005__8_1_a4,
     author = {Schlage-Puchta,  Jan-Christoph},
     title = {An estimate for {Frobenius'} {Diophantine} problem in three dimensions},
     journal = {Journal of integer sequences},
     year = {2005},
     volume = {8},
     number = {1},
     zbl = {1068.11018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2005__8_1_a4/}
}
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Schlage-Puchta,  Jan-Christoph. An estimate for Frobenius' Diophantine problem in three dimensions. Journal of integer sequences, Tome 8 (2005) no. 1. http://geodesic.mathdoc.fr/item/JIS_2005__8_1_a4/