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Extreme values of derivatives of zeta and L-functions

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It is proved that as T→∞, uniformly for all positive integers ℓ⩽(log3T)/(log4T), we have maxT⩽t⩽2Tζ(ℓ)1+it⩾Yℓ+o1log2Tℓ+1,where Yℓ=∫0∞uℓρ(u)du. Here, ρ(u) is ... ...