Selberg's central limit theorem for quadratic Dirichlet \(L\)-functions over function fields

DOI10.1007/s00605-023-01853-yarXiv2105.10863OpenAlexW3165687302WikidataQ121909243 ScholiaQ121909243MaRDI QIDQ6101250

Allysa Lumley, Pranendu Darbar

Publication date: 20 June 2023

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.10863

zbMATH Keywords

function fieldsfinite fieldshyperelliptic curvescentral limit theorem

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Class numbers, class groups, discriminants (11R29)

Cites Work

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• The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble
• Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves
• The second moment of quadratic twists of modular \(L\)-functions
• Vanishing of hyperelliptic \(L\)-functions at the central point
• Selberg's central limit theorem for \(\log|\zeta(1/2+it)|\)
• On the distribution of zeros of linear combinations of Euler products
• On Selberg's central limit theorem for Dirichlet \(L\)-functions
• The fourth moment of quadratic Dirichlet \(L\)-functions over function fields
• Metaplectic Ramanujan Conjecture Over Function Fields with Applications to Quadratic Forms
• COMPLEX MOMENTS AND THE DISTRIBUTION OF VALUES OF OVER FUNCTION FIELDS WITH APPLICATIONS TO CLASS NUMBERS
• Traces of high powers of the Frobenius class in the hyperelliptic ensemble
• Zeroes of zeta functions and symmetry
• Hybrid Euler-Hadamard product for quadratic Dirichlet L-functions in function fields
• Zeros of quadratic Dirichlet $L$-functions in the hyperelliptic ensemble
• TRUNCATED PRODUCT REPRESENTATIONS FOR ‐FUNCTIONS IN THE HYPERELLIPTIC ENSEMBLE
• Zeros of Hecke L-functions associated with cusp forms
• Moments and distribution of values of $L$-functions over function fields inside the critical strip
• Lower bounds for moments of L -functions
• SIEVING AND THE ERDŐS–KAC THEOREM
• Random matrix theory and \(L\)-functions at \(s=1/2\).
• Low lying zeros of families of \(L\)-functions

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