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- W2964135202 abstract "ABSTRACT. Previous work by Rubinstein [Rub] and Gao [Gao] computed the n-level densities for families of quadratic Dirichlet L-functions for test functions φ1, . . . , φn supported in ∑ n i=1 |ui| < 2, and showed agreement with random matrix theory predictions in this range for n ≤ 3 but only in a restricted range for larger n. We extend these results and show agreement for n ≤ 7, and reduce higher n to a Fourier transform identity. The proof involves adopting a new combinatorial perspective to convert all terms to a canonical form, which facilitates the comparison of the two sides." @default.
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- W2964135202 date "2013-01-01" @default.
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- W2964135202 title "The n-level densities of low-lying zeros of quadratic Dirichlet L-functions" @default.
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- W2964135202 doi "https://doi.org/10.4064/aa161-2-3" @default.
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