Real zeros of the Hurwitz zeta function
Volume 183 / 2018
Acta Arithmetica 183 (2018), 53-62
MSC: Primary 11M35; Secondary 11M20.
DOI: 10.4064/aa8647-11-2017
Published online: 26 February 2018
Abstract
It is well known that the real zeros of the Riemann zeta function are the negative even integers. As for real zeros of the Hurwitz zeta function, T. Nakamura recently gave an existence condition for the intervals $(0,1)$ and $(-1,0)$. We generalize this result to all negative real numbers.
