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

DOI10.1007/s00029-012-0104-4zbMath1303.11099arXiv1203.4457OpenAlexW1973689224MaRDI QIDQ1950451

Matthew P. Young

Publication date: 13 May 2013

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.4457

zbMATH Keywords

momentsmean valuesDirichlet \(L\)-functionslarge sieve inequalityquadratic characters

Mathematics Subject Classification ID

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

Related Items (16)

Weighted first moments of some special quadratic Dirichlet $L$-functions ⋮ The second and third moment of \(L(1/2,\chi)\) in the hyperelliptic ensemble ⋮ First moments of some Hecke \(L\)-functions of prime moduli ⋮ Secondary terms in the asymptotics of moments of \(L\)-functions ⋮ Mean squares of quadratic twists of the Möbius function ⋮ The distribution of values of zeta and \(L\)-functions ⋮ On the Northcott property of Dedekind zeta functions ⋮ On the third moment of \(L(\frac{1}{2}, \chi_d)\). I: The rational function field case ⋮ Orthogonal and symplectic 𝑛-level densities ⋮ On the third moment of \(L(\frac{1}{2},\chi_d)\). II: The number field case ⋮ The fourth moment of quadratic Dirichlet \(L\)-functions ⋮ Moments of central values of quartic Dirichlet \(L\)-functions ⋮ Moments of central values of cubic Hecke \(L\)-functions of \(\mathbb{Q}(i)\) ⋮ The second moment of quadratic Dirichlet \(L\)-functions ⋮ Moments of quadratic Dirichlet \(L\)-functions over function fields ⋮ The first moment of quadratic twists of modular $L$-functions

Cites Work

• Unnamed Item
• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• On the cubic moment of quadratic Dirichlet \(L\)-functions
• Subconvexity for twisted <i>L</i>-functions on GL(3)
• The first moment of quadratic Dirichlet L-functions
• 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
• On the order of vanishing of modular $L$-functions at the critical point

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