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

Blanc, Philippe2011-12-222011-12-222011-12-222011https://infoscience.epfl.ch/handle/20.500.14299/75966The 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.Riemann zeta function, distribution of zerosOn a problem in relation with the values of the argument of the Riemann zeta function in the neighborhood of points where zeta is largetext::report