Sur l'infimum des parties réelles des zéros des sommes partielles de la fonction zêta de Riemann

2009/02/05 by Michel Balazard, Balazard, Michel, Oswaldo Velásquez Castañón +1
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0902.0923

openalex publication_date 2009/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The greatest lower bound of the real parts of the roots of a partial sum of the Dirichlet series of Riemann's zeta function is asymptotically equivalent to the opposite of the number of terms of this sum, multiplied by the Napierian logarithm of 2, when this number of terms tends to infinity.

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