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Integer sets with distinct subset sums

Author(s): P. E. Frenkel
Journal: Proc. Amer. Math. Soc. 126 (1998), 3199-3200.
MSC (1991): Primary 11B13; Secondary 11B75
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Abstract: We give a simple, elementary new proof of a generalization of the following conjecture of Paul Erdos: the sum of the elements of a finite integer set with distinct subset sums is less than 2.

References:

1.: S. J. Benkoski and P. Erd\H{o}s, On weird and pseudoperfect numbers, Math. Comp. 28 (1974), 617-623. MR 50:228; MR 50:12902
2.: F. Hanson, J. M. Steele and F. Stenger, Distinct sums over subsets, Proc. Amer. Math. Soc. 66 (1977), 179-180. MR 56:5482
3.: Canadian Mathematical Bulletin 17 (1975), 768, Problem P. 220.
4.: R. Housberger, Mathematical Gems III, The Dolciani Mathematical Expositions, 1985, 215-223.


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