Mean values of derivatives of \(L\)-functions in function fields. II.

DOI10.1016/j.jnt.2017.08.038zbMath1433.11105OpenAlexW4210350165MaRDI QIDQ1675591

Julio C. Andrade

Publication date: 2 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.08.038

zbMATH Keywords

function fieldsrandom matrix theoryderivatives of \(L\)-functionsmoments of \(L\)-functionsquadratic Dirichlet \(L\)-functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Relations with random matrices (11M50)

Related Items (3)

Mean values of derivatives of $L$-functions in function fields: IV ⋮ Unnamed Item ⋮ Mean values of derivatives of \(L\)-functions for cyclotomic characters in function fields

Cites Work

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• Mean values of derivatives of \(L\)-functions in function fields. I.
• Mean values of the Riemann zeta-function and its derivatives
• Moments of the derivative of characteristic polynomials with an application to the Riemann zeta function
• Random matrix theory and the derivative of the Riemann zeta function
• Lower Bounds for Moments of ζ′(ρ)
• Johann Faulhaber and Sums of Powers
• Upper bounds for moments of ζ′(ρ )
• THE FOURTH MOMENT OF DERIVATIVES OF THE RIEMANN ZETA-FUNCTION
• Average values of L-series in function fields.
• A note on moments of ζ((1/2 + iγ)

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