English

Critical zeros of lacunary L-functions

Number Theory 2016-07-13 v1

Abstract

Assuming the existence of a sequence of exceptional discriminants of quadratic fields, we show that a hundred percent of zeros of the Riemann zeta function are on the critical line in specific segments. This is a special case of a more general statement for lacunary LL-functions.

Keywords

Cite

@article{arxiv.1607.03288,
  title  = {Critical zeros of lacunary L-functions},
  author = {J. B. Conrey and H. Iwaniec},
  journal= {arXiv preprint arXiv:1607.03288},
  year   = {2016}
}

Comments

49 pages