A nonaveraging set of integers with a large sum of reciprocals
Author:
J. Wróblewski
Journal:
Math. Comp. 43 (1984), 261262
MSC:
Primary 11B25
MathSciNet review:
744935
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Abstract 
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Abstract: A set of integers is constructed with no three elements in arithmetic progression and with a rather large sum of reciprocals.
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 F. Behrend, "On sets of integers which contain no three terms in an arithmetic progression," Proc. Nat. Atad. Sci. U.S.A., v. 32, 1946, pp. 331332. MR 0018694 (8:317d)
 [2]
 P. Erdös, "Problems and results in combinatorial number theory," Astérisque, v. 2425, 1975, pp. 295310. MR 0374075 (51:10275)
 [3]
 P. Erdös & P. Turan, "On some sequences of integers," J. London Math. Soc., v. 11, 1936, pp. 261264.
 [4]
 J. Gerver, "The sum of the reciprocals of a set of integers with no arithmetic progression of k terms," Proc. Amer. Math. Soc., v. 62, 1977, pp. 211214. MR 0439796 (55:12678)
 [5]
 J. Gerver & L. Ramsey, "Sets of integers with no long arithmetic progressions generated by the greedy algorithm," Math. Comp., v. 33, 1979, pp. 13531360. MR 537982 (80k:10053)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718198407449358
PII:
S 00255718(1984)07449358
Article copyright:
© Copyright 1984 American Mathematical Society
