On the representations of $N(T)$ via prime numbers

Details On the representations of $N(T)$ via prime numbers On the representations of $N(T)$ via prime numbers

2010-03-23

arxiv.org/abs/1003.4910v2

Mathematics

General Mathematics

This paper has been withdrawn by the author due to a crucial error in the last page.

Scientific paper

In this paper, under the RH, we give a new representation of $N(T)$ in term
of sum of the logarithms of the powers of prime numbers and compute the
difference between the new representation and Guinand representation.

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