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Elementary methods in the study of Deuring-Heilbronn Phenomenon
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math.NT
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zeroselementaryexceptionalregardingarbitrarybelongingbettercharacters
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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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