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Distinct subset sums and an inequality for convex functions
Author(s):
Yong-Gao
Chen
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2897-2898.
MSC (1991):
Primary 11B13, 11B75, 26A51, 26D15
Posted:
April 28, 2000
MathSciNet review:
1695163
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Abstract:
In this note we prove an inequality for convex functions which implies a conjecture of P. Erdos about a finite integer set with distinct subset sums.
References:
- 1.
- S. J. Benkoski and P. Erdos, On weird and pseudoperfect numbers, Math. Comp. 28(1974), 617-623. MR 50:228
- 2.
- P. E. Frenkel, Integer sets with distinct subset sums, Proc. Amer. Math. Soc. 126(1998), 3199-3200. MR 99a:11012
- 3.
- F. Hanson, J. M. Steele and F. Stenger, Distinct sums over subsets, Proc. Amer. Math. Soc. 66(1997), 179-180. MR 56:5428
- 4.
- Canadian Mathematical Bulletin 17(1975), 768, Problem P.220.
- 5.
- R. Housberger, Mathematical Gems III, The Dolciani Mathematical Expositions, 1985, 215-223.
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MSC (1991):
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MSC (1991):
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Additional Information:
Yong-Gao
Chen
Affiliation:
Department of Mathematics, Nanjing Normal University, Nanjing 210097, Jiangsu, People's Republic of China
Email:
ygchen@pine.njnu.edu.cn
DOI:
10.1090/S0002-9939-00-05481-2
PII:
S 0002-9939(00)05481-2
Received by editor(s):
December 1, 1998
Posted:
April 28, 2000
Additional Notes:
The author was supported by the National Nature Science Foundation of China and Fok Ying Tung Education Foundation
Communicated by:
David E. Rohrlich
Copyright of article:
Copyright
2000,
American Mathematical Society
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