English

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

General Mathematics 2010-04-20 v2

Abstract

In this paper, under the RH, we give a new representation of N(T)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.

Keywords

Cite

@article{arxiv.1003.4910,
  title  = {On the representations of $N(T)$ via prime numbers},
  author = {Jining Gao},
  journal= {arXiv preprint arXiv:1003.4910},
  year   = {2010}
}

Comments

This paper has been withdrawn by the author due to a crucial error in the last page.