Algorithms for computing the $h$-range of the postage stamp problem
HTML articles powered by AMS MathViewer
- by Svein Mossige PDF
- Math. Comp. 36 (1981), 575-582 Request permission
Abstract:
New algorithms, based on a very efficient method to compute the h-range, have been used to extend known tables of the extremal h-range, to complete the solution in the case $k = 3$, and to find a lower bound for the extremal 2-range.References
- Norbert Hämmerer and Gerd Hofmeister, Zu einer Vermutung von Rohrbach, J. Reine Angew. Math. 286(287) (1976), 239–247. MR 422189, DOI 10.1515/crll.1976.286-287.239
- Gerd Hofmeister, Asymptotische Abschätzungen für dreielementige Extremalbasen in natürlichen Zahlen, J. Reine Angew. Math. 232 (1968), 77–101 (German). MR 232745, DOI 10.1515/crll.1968.232.77 G. Hofmeister, "Zum Reichweitenproblem bei fester Elementeanzahl." (To appear.)
- W. F. Lunnon, A postage stamp problem, Comput. J. 12 (1969), 377–380. MR 253531, DOI 10.1093/comjnl/12.4.377
- Arnulf Mrose, Untere Schranken für die Reichweiten von Extremalbasen fester Ordnung, Abh. Math. Sem. Univ. Hamburg 48 (1979), 118–124 (German). MR 537452, DOI 10.1007/BF02941296 B. P. Phillips, Correspondence, Comput. J., v. 19, 1976, p. 93.
- J. Riddell and C. Chan, Some extremal $2$-bases, Math. Comp. 32 (1978), no. 142, 630–634. MR 476685, DOI 10.1090/S0025-5718-1978-0476685-7
- Hans Rohrbach, Ein Beitrag zur additiven Zahlentheorie, Math. Z. 42 (1937), no. 1, 1–30 (German). MR 1545658, DOI 10.1007/BF01160061 J. L. Seldon, Correspondence, Comput. J., v. 15, 1972, p. 361.
- Ernst S. Selmer, On the postage stamp problem with three stamp denominations, Math. Scand. 47 (1980), no. 1, 29–71. MR 600078, DOI 10.7146/math.scand.a-11874
- Alfred Stöhr, Gelöste und ungelöste Fragen über Basen der natürlichen Zahlenreihe. I, II, J. Reine Angew. Math. 194 (1955), 40–65, 111–140 (German). MR 75228, DOI 10.1515/crll.1955.194.40
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Math. Comp. 36 (1981), 575-582
- MSC: Primary 10L05; Secondary 10-04
- DOI: https://doi.org/10.1090/S0025-5718-1981-0606515-1
- MathSciNet review: 606515