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

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.

preprint2022arXivOpen access
Siegfred BaluyotBrian Conrey
math.NT
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Open access2 authors1 topic
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Siegfred BaluyotBrian Conrey

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