On the zeros of the Riemann Zeta function

Details On the zeros of the Riemann Zeta function On the zeros of the Riemann Zeta function

2010-04-20

arxiv.org/abs/1004.4143v3

Mathematics

General Mathematics

Corrected the sign in formula (6.10) and added few comments. Disappearance of euler constant in all subsequent formulae. Added

Scientific paper

This paper is divided into two independent parts. The first part presents new integral and series representations of the Riemaan zeta function. An equivalent formulation of the Riemann hypothesis is given and few results on this formulation are briefly outlined. The second part exposes a totally different approach. Using the new series representation of the zeta function of the first part, exact information on its zeros is provided.

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