English

An extension of the Linnik phenomenon. II

Number Theory 2012-09-14 v2

Abstract

The (Deuring-Heilbronn-) Linnik phenomenon is extended to L-functions associated with real analytic automorphic forms. The repelling effect of exceptional zeros of Dirichlet L-functions are felt not only by those L-functions themselves but also by automorphic L-functions. This version 2 contains substantial changes of notation as well as a few corrections.

Keywords

Cite

@article{arxiv.1208.6159,
  title  = {An extension of the Linnik phenomenon. II},
  author = {Yoichi Motohashi},
  journal= {arXiv preprint arXiv:1208.6159},
  year   = {2012}
}

Comments

16 pages