Hidden Life of Riemann's Zeta Function 1. Arrow, Bow, and Targets

2007/07/13 by Yuri Matiyasevich, Matiyasevich, Yuri · 1 citation
Mathematics · #11M06 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11M06

paper · pdf · doi:10.48550/arxiv.0707.1983

35 color figures. In version 2: English corrected, URLs updated

arxiv created 2007/09/29 · arxiv updated 2009/12/01

Abstract

The Riemann Hypothesis is reformulated as statements about eigenvalues of some matrices entries of which are defined via Taylor coefficient of the zeta function. These eigenvalues demonstrate interesting visual patterns allowing one to state a number of conjectures.

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