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Optimization of the Implicit Constant for Upper Bounds for Moments of the Riemann zeta Function

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arxiv 2407.20023 v1 pith:AWTHYZKU submitted 2024-07-29 math.NT

classification math.NT
keywords boundsconstantimplicitmomentsriemannupperprovedzeta-function
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We optimized the implicit constant for the refined upper bounds for moments of the Riemann zeta-function proved by Harper. We also computed the implicit constant for the upper bounds for moments of the Riemann zeta-function proved by Soundararajan under certain conditions.

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