A question about an asymtotic lower bound for a function

Discussion in 'Math Research' started by Rodolfo Conde, Aug 9, 2011.

  1. Hi everyone,

    Let n >= 2 be given. Define the function f \colon N \to N (N =
    natural numbers) by

    f(n) = \sum_{m=2}^n ceiling(n/m)

    Question: Is f(n)=\Omega(n^2) ??

    I have tried to prove it, but without success, i can't see
    exactly which technique i should use. Any suggestions will be greatly

    Thanks everyone...

    Rodolfo Conde, Aug 9, 2011
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