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On Kuzmin-Landau Lemma

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arxiv 2002.05982 v1 pith:HY3KZKID submitted 2020-02-14 math.NT math.CAmath.HO

J. Arias de Reyna This is my paper
classification math.NTmath.CAmath.HO
keywords lemmakuzmin-landauanalysisarithmetizationbasicbestboundconstant
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Kuzmin-Landau Lemma basic for the bound of sum of exponentials is a nice example of the arithmetization of Analysis. Here we tell the interesting story of this Lemma emphasizing Landau's best constant.

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  1. Counterexamples of Friedlander--Iwaniec dual sums conjecture

    math.NT 2026-07 accept novelty 6.0 of 10

    For A(s)=B(s)=ζ(s)^m with m≥4, the sharply truncated dual sum can be made as large as a positive power of N, disproving Friedlander–Iwaniec Conjecture 1 as stated.

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