Moments of logarithmic derivatives of \(L\)-functions

DOI10.1016/j.jnt.2017.08.017zbMath1433.11107OpenAlexW2759938506MaRDI QIDQ1675592

Henry H. Kim, Peter Jaehyun Cho

Publication date: 2 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.08.017

zbMATH Keywords

moments of \(L\)-functionsArtin \(L\)-functionslogarithmic derivatives of \(L\)-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42) Applications of automorphic functions and forms to multiplicative problems (11N75)

Related Items (3)

Extreme values of Euler-Kronecker constants ⋮ The value-distribution of Artin \(L\)-functions associated with cubic fields in conductor aspect ⋮ Value-distribution of cubic Hecke \(L\)-functions

Cites Work

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• Central limit theorem for Artin L-functions
• Non-abelian number fields with very large class numbers
• On the logarithmic derivatives of Dirichlet L-functions at s=1
• Explicit Upper Bounds for Residues of Dedekind Zeta Functions and Values ofL-Functions ats= 1, and Explicit Lower Bounds for Relative Class Numbers of CM-Fields
• OMEGA THEOREMS FOR $\frac{L'}{L}(1, \chi_D)$
• Logarithmic derivatives of Artin -functions
• THE 'LARGE SIEVE' METHOD AND ITS APPLICATIONS IN THE THEORY OF NUMBERS

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