Elementary methods in the study of Deuring-Heilbronn Phenomenon
arXiv:2201.03990
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.
18 pages, revised