ω-Theorems for Riemann's Zeta-Function at Harmonic Combinations of Points

Abstract

For integer r ≥ 2 there are arbitrarily large T for which [Formula: see text] With s = σ + it, corresponding results hold for σ = c, 1/2 ≤ c < 1, and for 1/ζ(1 + it). A similar result holds for [Formula: see text]

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