omega-Theorems for Riemann's Zeta-Function at Harmonic Combinations of Points.
For integer r >/= 2 there are arbitrarily large T for which [Formula: see text] With s = sigma + it, corresponding results hold for sigma = c, 1/2 </= c < 1, and for 1/zeta(1 + it). A similar result holds for [Formula: see text].
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Mass. 02139.
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Levinson