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arXiv 0902.0923math.NTmath.CV
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Sur l'infimum des parties réelles des zéros des sommes partielles de la fonction zêta de Riemann

Michel Balazard, Oswaldo Velásquez Castañón

英文摘要:

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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