On a problem in relation with the values of the argument of the Riemann zeta function in the neighborhood of points where zeta is large

2011
Rapport ou document de travail

Résumé

The aim of this research is to establish a relation between the derivatives of Hardy's Z function and the argument of the Riemann zeta function in the neighborhood of points where |Z| reaches a large maximum. In this paper, we make a step toward this goal by solving a problem of the same nature.

Source officielle

https://infoscience.epfl.ch/record/173057?ln=fr

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On a problem in relation with the values of the argument of the Riemann zeta function in the neighborhood of points where zeta is large

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On the Sums over Inverse Powers of Zeros of the Hurwitz Zeta Function and Some Related Properties of These Zeros

On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions