Mean value of the class number in function fields revisited

DOI10.1007/s00605-018-1162-2zbMath1454.11118OpenAlexW2786916640MaRDI QIDQ1799322

Julio C. Andrade, Hwanyup Jung

Publication date: 18 October 2018

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

Full work available at URL: https://doi.org/10.1007/s00605-018-1162-2

zbMATH Keywords

function fieldsclass numberquadratic Dirichlet \(L\)-functions

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Class numbers, class groups, discriminants (11R29)

Related Items (2)

On CM masses over global function fields ⋮ The first moment of $L\bigl(\frac{1}{2},\chi\bigr)$ for real quadratic function fields

Cites Work

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• The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble
• Class fields of abelian extensions of \(\mathbb Q\)
• Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
• Mean values of L-functions associated to elliptic, Fermat and other curves at the centre of the critical strip
• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• The average measure of quadratic forms with given determinant and signature
• A NOTE ON THE MEAN VALUE OF L-FUNCTIONS IN FUNCTION FIELDS
• The first moment of quadratic Dirichlet L-functions
• On the Mean Value of L(1/2, χ ) FW Real Characters
• Average values of L-series in function fields.
• Integral moments of L-functions
• A note on the mean value of L(1, χ) in the hyperelliptic ensemble
• Class numbers of indefinite binary quadratic forms
• Random matrix theory and \(L\)-functions at \(s=1/2\).

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