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

Michel Balazard; Oswaldo Velásquez Castañón

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arXiv · 0902.0923

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

Michel Balazard·Oswaldo Velásquez Castañón

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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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Michel Balazard, Oswaldo Velásquez Castañón. 2009-02-05. Sur l'infimum des parties réelles des zéros des sommes partielles de la fonction zêta de Riemann. https://arxiv.org/abs/0902.0923

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