The twisted moments and distribution of values of Dirichlet \(L\)-functions at 1

DOI10.1016/j.jnt.2018.08.007zbMath1453.11114OpenAlexW2890865157WikidataQ129222554 ScholiaQ129222554MaRDI QIDQ1634422

Seungjai Lee, Seok Hyeong Lee

Publication date: 18 December 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.08.007

zbMATH Keywords

momentsdistribution\(L\)-functionDirichlet characterrandom models

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20)

Related Items (2)

Mean square values of L-functions over subgroups for nonprimitive characters, Dedekind sums and bounds on relative class numbers ⋮ The mean value of the generalized Dirichlet L-functions with the weight of the Gauss sums

Cites Work

• Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums
• Mean values of \(L\)-functions and Dedekind sums
• On the twisted quadratic moment for Dirichlet \(L\)-functions
• On the mean square average of special values of \(L\)-functions
• On the fourth power mean of Dirichlet L-functions
• An exact formula for an average of L-series
• The distribution of values of \(L(1,\chi_d)\)
• The mean value of |L(k,χ)|²at positive rational integers k≥1
• Distribution of values of L -functions at the edge of the critical strip
• Quelques Formules Exactes Pour des Moyennes de Fonctions L de Dirichlet
• Averages of values of 𝐿-series
• A twisted quadratic moment for Dirichlet $L$-functions
• On various mean values of Dirichlet L-functions
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