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.
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2 Answers
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There's a book by Jorge L. Ramírez Alfonsín called The Diophantine Frobenius Problem.
answered Nov 11, 2013 at 11:52
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$\begingroup$ That's seems like a sufficient reference. Thanks. $\endgroup$– nvcleempNov 11, 2013 at 12:06
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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.
answered Nov 11, 2013 at 15:52
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1$\begingroup$ J.Marklof, The asymptotic distribution of Frobenius numbers, Inventiones ${\bf 181}$ 179-207 (2010). $\endgroup$– user25199Nov 11, 2013 at 22:20