A Note on the Liouville Function in Short Intervals
نویسنده
چکیده
In this note we give a short and self-contained proof that, for any δ > 0, ∑ x≤n≤x+xδ λ(n) = o(x ) for almost all x ∈ [X, 2X]. We also sketch a proof of a generalization of such a result to general real-valued multiplicative functions. Both results are special cases of results in our more involved and lengthy recent pre-print.
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