English

Elementary methods in the study of Deuring-Heilbronn Phenomenon

Number Theory 2022-05-10 v3

Abstract

The aim of this work is to improve some elementary results regarding both the Deuring-Phenomenon and the Heilbronn-Phenomenon. We will give better estimates regarding both the influence of zeros of the Riemann zeta function on the exceptional zeros and that of the non-trivial zeros of arbitrary L-functions belonging to non-principal characters on the exceptional zeros.

Keywords

Cite

@article{arxiv.2201.03990,
  title  = {Elementary methods in the study of Deuring-Heilbronn Phenomenon},
  author = {Chiara Bellotti and Giuseppe Puglisi},
  journal= {arXiv preprint arXiv:2201.03990},
  year   = {2022}
}

Comments

18 pages, revised

R2 v1 2026-06-24T08:46:31.949Z