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arXiv:1610.07945 [math.NT]AbstractReferencesReviewsResources

Real zeros of the Hurwitz zeta function

Toshiki Matsusaka

Published 2016-10-25Version 1

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

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