2 problems

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$n$ -level conjecture for extending support under square-root cancellation
Assume GRH. Let $\Phi:\mathbb{R}^n\to\mathbb{R}$ be the test function … Assume that the square-root cancellation hypothesis $H_n(\alpha,A)$ holds: … where the implied constant is u…
Conjectureopenl-functions n-level-density random-matrix-theoryarXiv posted 2 days ago
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The n-level density conjecture for families of L-functions
Let $\frak{F}$ be a family of $L$ -functions, let $\frak{F}(X)=\{\pi\in\frak{F}:X<c_\pi<2X\}$ , and let $D^{(n)}(\pi,\phi)$ denote the $n$ -level statistic formed from the normalized…
Conjectureopenl-functions low-lying-zeros n-level-densityarXiv posted 2 days ago

nnn-level conjecture for extending support under square-root cancellation