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Moments of the Riemann zeta-function
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Moments of the Riemann zeta-function
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Assuming the Riemann Hypothesis we obtain an upper bound for the moments of the Riemann zeta-function on the critical line. Our bound is nearly as sharp as the conjectured asymptotic formulae for these moments. The method extends to moments in families of $L$-functions.
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Cited by 1 Pith paper
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A Tsang-range high-moment bound for $\operatorname{Im}\log L(\tfrac12+it,\chi)$ under GRH
Under GRH, the 2k-th moment of Im log L(1/2+it, χ) for fixed odd squarefree conductor q is bounded by (C_K k log log(qT))^k for k up to order log log(qT).
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