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arXiv 2201.03990math.NT
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研究Deuring-Heilbronn现象的基本方法

Elementary methods in the study of Deuring-Heilbronn Phenomenon

Chiara Bellotti, Giuseppe Puglisi

摘要:

本文的目的是改进有关Deuring-Phenomenon和Heilbronn-Phenomenon的一些基本结果。我们将给出黎曼ζ函数的零点对例外零点的影响以及任意L-函数的非平凡零点对例外零点的影响的较好估计。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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