The Frobenius number of a set of coprime integers is the largest number that not can be written as the sum of integer multiples of numbers in that set.

I'm looking for a general reference on Frobenius numbers.


There's a book by Jorge L. Ramírez Alfonsín called The Diophantine Frobenius Problem.

  • $\begingroup$ That's seems like a sufficient reference. Thanks. $\endgroup$ – nvcleemp Nov 11 '13 at 12:06

See also:

J.C.Rosales, P.A.García-Sánchez. Numerical Semigroups. Springer, 2009.

J.Amos, I.Pascu, V.Ponomarenko, E.Trevino, Y.Zhang. The Multi-Dimensional Frobenius Problem. Involve, 4(2) 2011, pp.187-197.

  • 1
    $\begingroup$ J.Marklof, The asymptotic distribution of Frobenius numbers, Inventiones ${\bf 181}$ 179-207 (2010). $\endgroup$ – user25199 Nov 11 '13 at 22:20

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