Moments of zeta and correlations of divisor-sums: stratification and Vandermonde integrals

Siegfred Baluyot; Brian Conrey

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arXiv · 2206.04821

Moments of zeta and correlations of divisor-sums: stratification and Vandermonde integrals

Siegfred Baluyot·Brian Conrey

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Abstract

We refine a recent heuristic developed by Keating and the second author. Our improvement leads to a new integral expression for the conjectured asymptotic formula for shifted moments of the Riemann zeta-function. This expression is analogous to a formula, recently discovered by Brad Rodgers and Kannan Soundararajan, for moments of characteristic polynomials of random matrices from the unitary group.

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Siegfred Baluyot, Brian Conrey. 2022-06-10. Moments of zeta and correlations of divisor-sums: stratification and Vandermonde integrals. https://arxiv.org/abs/2206.04821

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