Extreme values of derivatives of the Riemann zeta function
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It is proved that if T is sufficiently large, then uniformly for all positive integers ℓ⩽(logT)/(log2T), we have maxT⩽t⩽2Tζ(ℓ)1+it⩾eγ·ℓℓ·(ℓ+1)-(ℓ+1)·log2T-log3T+O(1)ℓ... ...
