Bounding vanishing at the central point of cuspidal newforms

DOI10.1016/j.jnt.2022.08.011OpenAlexW4307815108MaRDI QIDQ2112786

Jiahui Li, Steven J. Miller

Publication date: 12 January 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.03061

zbMATH Keywords

\(L\)-functionsrandom matrix theorylow-lying zeroscentral point

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Relations with random matrices (11M50)

Cites Work

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• From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond
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• Pair correlation of zeros of the zeta function.
• Zeroes of zeta functions and symmetry
• On the Distribution of Spacings Between Zeros of the Zeta Function
• One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries
• Low lying zeros of families of \(L\)-functions

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