Extends one-level density support to (-8/3, 8/3) for the unitary family of Gamma_1(q) L-functions under GRH, verifying the Katz-Sarnak prediction and yielding a 62.5% central non-vanishing proportion.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Under GRH, one-level densities for even and odd orthogonal families of automorphic L-functions are established with Fourier support extended to (-3,3), giving the strongest conditional non-vanishing results at the central point.
At least 77% of Artin L-functions for D4-quartic function fields are non-vanishing at s=1/2 when ordered by conductor.
citing papers explorer
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One-level density of zeros of $\Gamma_1(q)$ $L$-functions
Extends one-level density support to (-8/3, 8/3) for the unitary family of Gamma_1(q) L-functions under GRH, verifying the Katz-Sarnak prediction and yielding a 62.5% central non-vanishing proportion.
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One-level densities of large even and odd orthogonal families of automorphic L-functions
Under GRH, one-level densities for even and odd orthogonal families of automorphic L-functions are established with Fourier support extended to (-3,3), giving the strongest conditional non-vanishing results at the central point.
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Non-vanishing of Artin $L$-functions associated with $D_4$-quartic function fields ordered by conductor
At least 77% of Artin L-functions for D4-quartic function fields are non-vanishing at s=1/2 when ordered by conductor.