The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields

DOI10.1016/j.jnt.2020.07.001zbMath1464.11095OpenAlexW3048635028MaRDI QIDQ2004949

Dragan Đokić, Goran Djanković, Ilija Vrećica, Nikola Lelas

Publication date: 7 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.07.001

zbMATH Keywords

function fieldsfinite fieldsrandom matrix theoryDirichlet \(L\)-functionsmoments of \(L\)-functions

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic theory of polynomial rings over finite fields (11T55) Zeta and (L)-functions in characteristic (p) (11M38) Relations with random matrices (11M50)

Related Items (2)

Corrigendum to: ``The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields ⋮ The triple reciprocity law for the twisted second moments of Dirichlet $L$-functions over function fields

Cites Work

• Unnamed Item
• Unnamed Item
• Conjectures for the integral moments and ratios of \(L\)-functions over function fields
• The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble
• The fourth moment of Dirichlet \(L\)-functions
• The sixth power moment of Dirichlet \(L\)-functions
• The fourth power mean of Dirichlet \(L\)-functions in \(\mathbb{F}_q [T\)]
• The fourth moment of quadratic Dirichlet \(L\)-functions over function fields
• The eighth moment of Dirichlet \(L\)-functions
• The Variance of the Number of Prime Polynomials in Short Intervals and in Residue Classes
• ON THE CORRELATION OF SHIFTED VALUES OF THE RIEMANN ZETA FUNCTION
• On moments of twisted L-functions
• The Fourth Power Mean of Dirichlet's L-Functions
• Advanced Topics in Computional Number Theory
• A note on the fourth moment of Dirichlet L-functions
• Integral moments of L-functions
• THE FOURTH MOMENT OF DIRICHLET L-FUNCTIONS FOR THE RATIONAL FUNCTION FIELD
• Random matrix theory and \(\zeta(1/2+it)\).

This page was built for publication: The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields