On sequences of positive integers containing no p terms in arithmetic progression

نویسندگان

  • Goutam Pal
  • Joseph L. Gerver
چکیده

We use topological ideas to show that, assuming the conjecture of Erdös [4] on subsets of positive integers having no p terms in arithmetic progression (A. P.), there must exist a subset Mp of positive integers with no p terms in A. P. with the property that among all such subsets, Mp maximizes the sum of the reciprocals of its elements.

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تاریخ انتشار 2006