The distribution of values of \(\frac{L^\prime}{L}(1 / 2 + \epsilon, \chi_D)\)

DOI10.1016/j.jnt.2021.10.013OpenAlexW3217775317WikidataQ113870330 ScholiaQ113870330MaRDI QIDQ2162838

Alia Hamieh, Rory McClenagan

Publication date: 9 August 2022

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

Full work available at URL: https://arxiv.org/abs/2204.07602

zbMATH Keywords

value-distributionquadratic characterslogarithmic derivatives of \(L\)-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42) Zeta and (L)-functions in characteristic (p) (11M38)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The distribution of Euler-Kronecker constants of quadratic fields
• The distribution of values of \(L(1,\chi_d)\)
• Discrepancy bounds for the distribution of the Riemann zeta-function and applications
• On the distribution of the values of quadratic L-series in the half-plane \(\sigma > 1/2\)
• ON CERTAIN MEAN VALUES AND THE VALUE-DISTRIBUTION OF LOGARITHMS OF DIRICHLET L-FUNCTIONS
• On the Distribution of Extreme Values of Zeta and L-Functions in the Strip 1/2 <   < 1
• Distribution of values of L -functions at the edge of the critical strip
• A limit theorem for Bohr-Jessen's probability measures of the Riemann zeta-function
• A mean value estimate for real character sums
• On the Euler-Kronecker constants of global fields and primes with small norms
• Distribution Functions and the Riemann Zeta Function