The fourth moment of quadratic Dirichlet \(L\)-functions

DOI10.1007/s00209-020-02609-2zbMath1486.11103arXiv1907.01107OpenAlexW3092045783MaRDI QIDQ2031734

Quanli Shen

Publication date: 10 June 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01107

zbMATH Keywords

Generalized Riemann Hypothesisfundamental discriminantmoments of \(L\)-functionsquadratic Dirichlet \(L\)-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Relations with random matrices (11M50)

Related Items (5)

First moments of some Hecke \(L\)-functions of prime moduli ⋮ Secondary terms in the asymptotics of moments of \(L\)-functions ⋮ The distribution of values of zeta and \(L\)-functions ⋮ Moments of quadratic Dirichlet \(L\)-functions over function fields ⋮ Nonvanishing for cubic L-functions

Cites Work

• Unnamed Item
• Conjectures for the integral moments and ratios of \(L\)-functions over function fields
• Moments of the Riemann zeta function
• The second moment of quadratic twists of modular \(L\)-functions
• Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• The third moment of quadratic Dirichlet \(L\)-functions
• The second moment of quadratic Dirichlet \(L\)-functions
• The fourth moment of quadratic Dirichlet \(L\)-functions over function fields
• On the cubic moment of quadratic Dirichlet \(L\)-functions
• SHIFTED MOMENTS OF ‐FUNCTIONS AND MOMENTS OF THETA FUNCTIONS
• ON THE CORRELATION OF SHIFTED VALUES OF THE RIEMANN ZETA FUNCTION
• The first moment of quadratic Dirichlet L-functions
• On the Mean Value of L(1/2, χ ) FW Real Characters
• Zeroes of zeta functions and symmetry
• Multiple Dirichlet Series and Moments of Zeta and L-Functions
• A mean value estimate for real character sums
• Conjectures and Experiments Concerning the Moments ofL(1/2, χ_d)
• Integral moments of L-functions
• Random matrix theory and \(L\)-functions at \(s=1/2\).

This page was built for publication: The fourth moment of quadratic Dirichlet \(L\)-functions