32
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Some Experimental Results on the Frobenius Problem

, &
Pages 263-269 | Published online: 03 Apr 2012

REFERENCES

  • Ramirez Alfonsin , J. L. 2000 . The Diophantine Frobenius Problem. Forschungsinstitut für diskrete Mathematik, Universität Bonn. . [Alfonsin 00], Report No. 00893
  • Barvinok , Alexander I. 1994 . “Computing the Ehrhart Polynomial of a Convex Lattice Polytope.” . Discrete Comput. Geom. , 12 ( 1 ) : 35 – 48 . [Barvinok 94]
  • Beck , Matthias , Diaz , Ricardo and Robins , Sinai . 2002 . “The Frobenius Problem, Rational Polytopes, and Fourier-Dedekind Sums.” . J. Number Theory , 96 ( 1 ) : 1 – 21 . [Beck et al. 02]
  • Brauer , Alfred . 1942 . “On a Problem of Partitions.” . Amer. J. Math. , 64 : 299 – 312 . [Brauer 42]
  • Brauer , Alfred and Shock , James-ley E. 1962 . “On a Problem of Frobenius.” . J. Reine Angew. Math. , 211 : 215 – 220 . [Brauer and Shockley 62]
  • Davison , J. L. 1994 . “On the Linear Diophantine Problem of Frobenius.” . J. Number Theory , 48 ( 3 ) : 353 – 363 . [Davison 94]
  • Erdös , P. and Graham , R. L. 1972 . “On a Linear Diophantine Problem of Frobenius.” . Acta Arith. , 21 : 399 – 408 . [Erdös and Graham 72]
  • Johnson , S. M. 1960 . “A Linear Diophantine Problem.” . Canad. J. Math. , 12 : 390 – 398 . [Johnson 60]
  • Kannan , Ravi . 1992 . “Lattice Translates of a Polytope and the Frobenius Problem.” . Combinatorica , 12 ( 2 ) : 161 – 177 . [Kannan 92]
  • Knuth , D. E. 1977 . “Notes on Generalized Dedekind Sums.” . Acta Aritm. , 33 : 297 – 325 . [Knuth 77]
  • Lewin , Mordechai . 1975 . “An Algorithm for a Solution of a Problem of Frobenius.” . J. Reine Angew. Math. , 276 : 68 – 82 . [Lewin 75]
  • Nijenhuis , Albert . 1979 . “A Minimal-Path Algorithm for the ‘Money Changing Problem’.” . Amer. Math. Monthly , 86 ( 10 ) : 832 – 835 . [Nijenhuis 79]
  • Rademacher , H. 1964 . “Some Remarks on Certain Generalized Dedekind Sums.” . Acta Arith. , 9 : 97 – 105 . [Rademacher 64]
  • Roberts , J. B. 1956 . “Note on Linear Forms.” . Proc. Amer. Math. Soc. , 7 : 465 – 469 . [Roberts 56]
  • Selmer , Ernst S. 1977 . “On the Linear Diophantine Problem of Frobenius.” . J. Reine Angew. Math. , 293/294 : 1 – 17 . [Selmer 77]
  • Sylvester , J. J. 1884 . “Mathematical Questions with Their Solutions.” . Educational Times , 41 : 171 – 178 . [Sylvester 84]
  • Vitek , Yehoshua . 1975 . “Bounds for a Linear Diophantine Problem of Frobenius.” . J. London Math. Soc. (2) , 10 : 79 – 85 . [Vitek 75]

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.