Note on the mean values of derivatives of quadratic Dirichlet \(L\)-functions in function fields

DOI10.1016/j.ffa.2019.02.010zbMath1440.11215OpenAlexW2920338597MaRDI QIDQ2422162

Sunghan Bae, Hwanyup Jung

Publication date: 18 June 2019

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2019.02.010

zbMATH Keywords

function fieldshyperelliptic curvesderivatives of \(L\)-functionsmoments of \(L\)-functionsquadratic Dirichlet \(L\)-functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Zeta functions and (L)-functions of function fields (11R59)

Related Items (3)

The mixed second moment of quadratic Dirichlet \(L\)-functions over function fields ⋮ Unnamed Item ⋮ The first moment of $L\bigl(\frac{1}{2},\chi\bigr)$ for real quadratic function fields

Cites Work

• Mean values of derivatives of \(L\)-functions in function fields. I.
• The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble
• Mean values of the Riemann zeta-function and its derivatives
• The second and third moment of \(L(1/2,\chi)\) in the hyperelliptic ensemble
• The fourth moment of quadratic Dirichlet \(L\)-functions over function fields
• Moments of the derivative of characteristic polynomials with an application to the Riemann zeta function
• THE FOURTH MOMENT OF DERIVATIVES OF THE RIEMANN ZETA-FUNCTION
• Improving the Error Term in the Mean Value of in the Hyperelliptic Ensemble

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