-complete sequences of integers

Authors:
P. Erdos and Mordechai Lewin

Journal:
Math. Comp. **65** (1996), 837-840

MSC (1991):
Primary 11B13

DOI:
https://doi.org/10.1090/S0025-5718-96-00707-7

MathSciNet review:
1333312

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Abstract | References | Similar Articles | Additional Information

Abstract: An infinite sequence is -*complete* if every sufficiently large integer is the sum of such that no one divides the other. We investigate -completeness of sets of the form and with nonnegative.

**1.**B. J. Birch,*Note on a problem of Erd\H{o}s*, Proc. Cambridge Philos. Soc.**55**(1959), 370--373. MR**22:201****2.**J. W. S. Cassels,*On the representation of integers as the sums of distinct summands taken from a fixed set*, Acta Sci. Math. (Szeged)**21**(1960), 111--124. MR**24:A103****3.**P. Erd\H{o}s,*Quickie*, Math. Mag.**67**(1994), pp. 67 and 74.

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Additional Information

**P. Erdos**

Affiliation:
Mathematical Institute, Hungarian Academy of Sciences, Realtanoda u. 13-15, H-1053 Budapest, Hungary and Department of Mathematics, Technion, Israel Institute of Technology, Haifa 32000, Israel

**Mordechai Lewin**

Affiliation:
Department of Mathematics, Technion, Israel Institute of Technology, Haifa 32000, Israel

Email:
mole@techunix.technion.ac.il

DOI:
https://doi.org/10.1090/S0025-5718-96-00707-7

Received by editor(s):
January 30, 1994

Received by editor(s) in revised form:
August 3, 1994, February 12, 1995, and March 16, 1995

Article copyright:
© Copyright 1996
American Mathematical Society