Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself

2011/07/26 by Jan Moser, Moser, Jan
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematics and Applications #math.CA

paper · pdf · doi:10.48550/arxiv.1107.5200

arxiv created 2011/07/26 · openalex publication_date 2011/07/26 · arxiv updated 2011/07/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

It is proved that some set of the values of |ζ(σ₀+i\vp₁(t))|² on every fixed line σ=σ₀>1 generates a corresponding set of the values of |ζ(\frac 12+it)|² on the critical line σ=\frac 12 (i.e. we have an analogue of the Faraday law).

Citations

• Jacob's ladders and the first asymptotic formula for the expression of the fifth order Z³[...]Z²(t) for the collection of disconnected sets

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