# Moments of the Riemann zeta-function

Source: [Moments of the Riemann zeta-function](<https://www.sota2.com/research/paper/68fa4dd01e209131ce957456>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T09:29:51.370Z

Authors: K. Soundararajan

Published: 2006-12-04T21:42:44.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/0612106>)

[PDF](<https://arxiv.org/pdf/math/0612106.pdf>)