On the third moment of \(L(\frac{1}{2},\chi_d)\). II: The number field case

DOI10.4171/JEMS/1049zbMath1480.11059arXiv1804.00690OpenAlexW3130310540MaRDI QIDQ2031689

Ian Whitehead, Adrian-Viorel Diaconu

Publication date: 10 June 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.00690

zbMATH Keywords

central valuequadratic Dirichlet \(L\)-functionsWeyl group multiple Dirichlet seriesthird momentsmoothed asymptotic formula

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Multiple Dirichlet series and zeta functions and multizeta values (11M32) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Related Items (5)

Weighted first moments of some special quadratic Dirichlet $L$-functions ⋮ The mean values of cubic \(L\)-functions over function fields ⋮ Secondary terms in the asymptotics of moments of \(L\)-functions ⋮ Ratios conjecture for quadratic Hecke \(L\)-functions in the Gaussian field ⋮ The distribution of values of zeta and \(L\)-functions

Cites Work

• Weyl group multiple Dirichlet series, Eisenstein series and crystal bases
• Weyl group multiple Dirichlet series constructed from quadratic characters
• The third 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
• The metaplectic Casselman-Shalika formula
• Constructing Weyl group multiple Dirichlet series
• 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)
• Affine Weyl Group Multiple Dirichlet Series: Type $\tilde{A}$

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