The Fourth Power Mean of Dirichlet's L-Functions

DOI10.1524/anly.1981.1.1.25zbMath0479.10027OpenAlexW2314278425MaRDI QIDQ3936819

D. R. Heath-Brown

Publication date: 1981

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.1981.1.1.25

zbMATH Keywords

asymptotic formulamean valuefourth power meandivisor sumsprimitive charactersDirichlet's L-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items

Twelfth moment of Dirichlet L-functions to prime power moduli ⋮ Bilinear forms with Kloosterman sums and applications ⋮ The fourth moment of Dirichlet \(L\)-functions along the critical line ⋮ Lower bounds for the moments of the derivatives of the Riemann zeta-function and Dirichlet \(L\)-functions ⋮ The fourth moment of Dirichlet \(L\)-functions at the central value ⋮ The second moment of Dirichlet twists of a \(\mathrm{GL}_4\) automorphic \(L\)-function ⋮ The second and fourth moments of theta functions at their central point ⋮ Mean square values of Dirichlet \(L\)-functions associated to fixed order characters ⋮ The distribution of values of zeta and \(L\)-functions ⋮ The variance and correlations of the divisor function in \(\mathbb{F}_q[T\), and Hankel matrices] ⋮ The fourth moment of Dirichlet \(L\)-functions ⋮ Bounds for traces of Hecke operators and applications to modular and elliptic curves over a finite field ⋮ Effective moments of Dirichlet \(L\)-functions in Galois orbits ⋮ The fourth power mean of Dirichlet \(L\)-functions in \(\mathbb{F}_q [T\)] ⋮ The fourth moment of derivatives of Dirichlet \(L\)-functions in function fields ⋮ High moments of the Estermann function ⋮ Upper bounds for the moments of derivatives of Dirichlet \(L\)-functions ⋮ The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields ⋮ Discrete moments of additive twists. I: The mean-square ⋮ The fourth moment of individual Dirichlet \(L\)-functions on the critical line ⋮ Moments and one level density of certain unitary families of Hecke \(L\)-functions ⋮ Unnamed Item ⋮ Level aspect subconvexity for twisted \(L\)-functions