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Some extremal  -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.
- [1]
Walter
Klotz, Eine obere Schranke für die Reichweite einer
Extremalbasis zweiter Ordnung, J. Reine Angew. Math.
238 (1969), 161–168 (German). MR 0246848
(40 #117)
- [2]
L.
Moser, On the representation of
1,2,\𝑐𝑑𝑜𝑡𝑠,𝑛 by sums,
Acta Arith. 6 (1960), 11–13. MR 0122800
(23 #A133)
- [3]
L.
Moser, J.
R. Pounder, and J.
Riddell, On the cardinality of ℎ-bases for 𝑛,
J. London Math. Soc. 44 (1969), 397–407. MR 0238798
(39 #162)
- [4]
J. RIDDELL, On Bases for Sets of Integers, Master's Thesis, University of Alberta, 1960.
- [5]
Hans
Rohrbach, Ein Beitrag zur additiven Zahlentheorie, Math. Z.
42 (1937), no. 1, 1–30 (German). MR
1545658, http://dx.doi.org/10.1007/BF01160061
- [6]
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 0075228
(17,713a)
- [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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Additional Information
DOI:
http://dx.doi.org/10.1090/S0025-5718-1978-0476685-7
PII:
S 0025-5718(1978)0476685-7
Article copyright:
© Copyright 1978 American Mathematical Society
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