Erdos conjecture

mnasilva_at_gmail.com
Date: 01/19/05


Date: 19 Jan 2005 07:45:02 -0500


Problem: Let f(n)=1 or f(n)=-1 for n=1,2,..., and C any constant, then
there exist integers d and m such that
|f(d)+f(2d)+...+f(m.d)|>C.

reference: Erdšs, Paul, Some unsolved problems.
Michigan Math. J. 4 1957 291--300.
(problem 9: p293)

I would like to know if this problem is already solved, or in any case,
about related results.

best regards
manuel



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