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Mathematics of Computation

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Some extremal $ 2$-bases

Authors: J. Riddell and C. Chan
Journal: Math. Comp. 32 (1978), 630-634
MSC: Primary 10L05
MathSciNet review: 0476685
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Abstract: By means of a computer search, some extremal additive bases have been constructed which have heretofore been unknown.

References [Enhancements On Off] (What's this?)

  • [1] W. KLOTZ, "Eine obere Schranke füe Reichweite einer Extremalbasis zweiter Ordnung," J. Reine Angew. Math., v. 238, 1969, pp. 161-168. MR 0246848 (40:117)
  • [2] L. MOSER, "On the representation of 1,2,...,n by sums," Acta Arith., v. 6, 1960, pp. 11-13. MR 0122800 (23:A133)
  • [3] L. MOSER, J. R. POUNDER & J. RIDDELL, "On the cardinality of h-bases for n," J. London Math. Soc., v. 44, 1969, pp. 397-407. MR 0238798 (39:162)
  • [4] J. RIDDELL, On Bases for Sets of Integers, Master's Thesis, University of Alberta, 1960.
  • [5] H. ROHRBACH, "Ein Beitrag zur additiven Zahlentheorie," Math. Z., v. 42, 1937, pp. 1-30. MR 1545658
  • [6] A. STÖHR, "Gelöste und ungelöste Fragen über Basen der natürlichen Zahlenreihe. I, II," J. Reine Angew. Math., v. 194, 1955, pp. 40-65, 111-140. MR 0075228 (17:713a)

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Article copyright: © Copyright 1978 American Mathematical Society

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