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arXiv:1109.2224 [math.NT]AbstractReferencesReviewsResources

Negative values of the Riemann zeta function on the critical line

Justas Kalpokas, Maxim A. Korolev, Jörn Steuding

Published 2011-09-10, updated 2012-05-15Version 3

We investigate the intersections of the curve $\mathbb{R}\ni t\mapsto \zeta({1\over 2}+it)$ with the real axis. We show unconditionally that the zeta-function takes arbitrarily large positive and negative values on the critical line.

Comments: 18 pages, improved Corollary 3
Categories: math.NT
Subjects: 11M06
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