Moments and distribution of values of $L$-functions over function fields inside the critical strip

DOI10.4064/aa200308-9-8zbMath1483.11179OpenAlexW3214453549MaRDI QIDQ5030098

Allysa Lumley

Publication date: 15 February 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa200308-9-8

zbMATH Keywords

function fields\(L\)-functionsdistribution of values

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) (zeta (s)) and (L(s, chi)) (11M06) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (4)

On the Northcott property of zeta functions over function fields ⋮ The sixth power moment of Dirichlet \(L\)-functions over rational function fields ⋮ Selberg's central limit theorem for quadratic Dirichlet \(L\)-functions over function fields ⋮ Low-lying zeros in families of elliptic curve \(L\)-functions over function fields

Cites Work

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• The distribution of Euler-Kronecker constants of quadratic fields
• The second moment of quadratic twists of modular \(L\)-functions
• Extreme values of the Riemann zeta function
• Discrepancy bounds for the distribution of the Riemann zeta-function and applications
• The fourth moment of quadratic Dirichlet \(L\)-functions over function fields
• On the Distribution of Extreme Values of Zeta and L-Functions in the Strip 1/2 <   < 1
• COMPLEX MOMENTS AND THE DISTRIBUTION OF VALUES OF OVER FUNCTION FIELDS WITH APPLICATIONS TO CLASS NUMBERS
• Hybrid Euler-Hadamard product for quadratic Dirichlet L-functions in function fields
• On large values of L(σ,χ)
• Large deviations of sums of independent random variables

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