English

On the roots of the equation $Z'(t)=0$

Classical Analysis and ODEs 2013-03-06 v1

Abstract

We have proved in this paper that the Lindel\" of hypothesis generates essential contraction of distances between consecutive odd-order zeros of the function Z(t)Z'(t). This paper is the translation of the paper \cite{11} into the English except part 8 that we added in order to point out the I. M. Vinogradov' scepticism on possibilities of the method of trigonometric sums.

Keywords

Cite

@article{arxiv.1303.0967,
  title  = {On the roots of the equation $Z'(t)=0$},
  author = {Jan Moser},
  journal= {arXiv preprint arXiv:1303.0967},
  year   = {2013}
}