3 problems

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Keating–Snaith unitary conjecture for random-matrix constants
Let $\lambda$ be a parameter, let $B_U(\lambda)$ denote the unitary-family exponent appearing in the mean-value formula, and let $\Gamma$ be the gamma function. Keating–Snaith unit…
Conjectureopenl-functions random-matrix-theory unitary-symmetryarXiv posted 2 days ago
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The multiple-Dirichlet-series pole conjecture for unitary moments
Unitary multiple-Dirichlet-series pole conjecture. The function
Conjectureopenmoments-of-l-functions multiple-dirichlet-series unitary-symmetryarXiv posted 2 days ago
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The CFKRS recipe prediction for unitary shifted moments
CFKRS conjecture. If $|\operatorname{Re}(s)-\frac12|\ll1/\log Q$ and $|\operatorname{Re}(z)-\frac12|\ll1/\log Q$ for all $s\in S$ and $z\in Z$ , then as $Q\to\infty$ ,
Conjectureopenmoments-of-l-functions multiple-dirichlet-series unitary-symmetryarXiv posted 2 days ago

Keating–Snaith unitary conjecture for random-matrix constants