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arXiv · 2201.03990

Elementary methods in the study of Deuring-Heilbronn Phenomenon

Chiara Bellotti·Giuseppe Puglisi
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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.

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Chiara Bellotti, Giuseppe Puglisi. 2022-01-11. Elementary methods in the study of Deuring-Heilbronn Phenomenon. https://arxiv.org/abs/2201.03990

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