Elementary methods in the study of the Deuring–Heilbronn phenomenon
Tom 208 / 2023
Acta Arithmetica 208 (2023), 257-277
MSC: Primary 11M06; Secondary 11M20.
DOI: 10.4064/aa220909-23-5
Opublikowany online: 10 August 2023
Streszczenie
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 the influence of the non-trivial zeros of arbitrary $L$-functions belonging to non-principal characters on the exceptional zeros.
