Weighted first moments of some special quadratic Dirichlet $L$-functions

zbMath1458.11130arXiv1802.03896MaRDI QIDQ5208895

Liangyi Zhao, Peng Gao

Publication date: 22 January 2020

Full work available at URL: https://arxiv.org/abs/1802.03896

zbMATH Keywords

Hecke \(L\)-functionsquadratic Dirichlet \(L\)-functionsquadratic Hecke charactersquadratic Dirichlet characters

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41)

Cites Work

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• Mean values with cubic characters
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• The subconvexity problem for \(\mathrm{GL}_2\)
• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• The third moment of quadratic Dirichlet \(L\)-functions
• On the third moment of \(L(\frac{1}{2},\chi_d)\). II: The number field case
• The first moment of quadratic Dirichlet L-functions
• On the Mean Value of L(1/2, χ ) FW Real Characters
• Multiple Dirichlet Series and Moments of Zeta and L-Functions

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