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arXiv · 1305.1421

An arithmetic interpretation of generalized Li's criterion

Sergey K. Sekatskii
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Abstract

Recently, we have established the generalized Li's criterion equivalent to the Riemann hypothesis, viz. demonstrated that the sums over all non-trivial Riemann function zeroes k_n,a=Sum_rho(1-(1-((rho-a)/(rho+a-1))^n) for any real a not equal to 1/2 are non-negative if and only if the Riemann hypothesis holds true; arXiv:1304.7895 (2013); Ukrainian Math. J., V.66, N3, 371-383 (2014). An arithmetic interpretation of this generalized Li's criterion is given here.

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Sergey K. Sekatskii. 2018-05-24. An arithmetic interpretation of generalized Li's criterion. https://arxiv.org/abs/1305.1421

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