Real zeros of the Hurwitz zeta function

Toshiki Matsusaka

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arXiv · 1610.07945

Real zeros of the Hurwitz zeta function

Toshiki Matsusaka

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Abstract

It is well known that real zeros of the Riemann zeta function are negative even integers. As for real zeros of the Hurwitz zeta function, T. Nakamura recently gave an existence condition in the intervals (0,1) and (-1,0). We generalize this result for all negative real numbers.

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Toshiki Matsusaka. 2016-10-25. Real zeros of the Hurwitz zeta function. https://arxiv.org/abs/1610.07945

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