Sur un critère de Baez-Duarte pour l'hypothèse de Riemann

2008/12/09 by Michel Balazard, Balazard, Michel, Anne De Roton +1
Mathematics · #11M26 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11M26

paper · pdf · doi:10.48550/arxiv.0812.1689

A paraître dans International Journal of Number Theory

arxiv created 2008/12/09 · arxiv updated 2009/12/01

Abstract

Baez-Duarte reformulated the Riemann hypothesis as a statement about a Hilbert space distance, involving the integer dilations of the "fractional part" function. Under the assumption of the Riemann hypothesis, we improve on the currently known estimate for this distance.

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