English

A note on the zeros of the zeta-function of Riemann

Number Theory 2018-01-16 v1

Abstract

It is shown explicitly how the sign of Hardy's function Z(t)Z(t) depends on the parity of the zero-counting function N(T)N(T). Two existing definitions of this function are analyzed, and some related problems are discussed.

Keywords

Cite

@article{arxiv.1801.04711,
  title  = {A note on the zeros of the zeta-function of Riemann},
  author = {Aleksandar Ivić},
  journal= {arXiv preprint arXiv:1801.04711},
  year   = {2018}
}

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7 pages