Extreme residues of Dedekind zeta functions

DOI10.1017/S0305004117000019zbMath1423.11193arXiv1601.02672MaRDI QIDQ5360468

Henry H. Kim, Peter Jaehyun Cho

Publication date: 28 September 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02672

zbMATH Keywords

Dedekind zeta functionsArtin conjecture

Mathematics Subject Classification ID

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

Related Items (5)

Extreme values of Euler-Kronecker constants ⋮ Explicit estimates for Artin \(L\)-functions: Duke's short-sum theorem and Dedekind zeta residues ⋮ Universality of Artin \(L\)-functions in conductor aspect ⋮ The error term in the truncated Perron formula for the logarithm of an L-function ⋮ The least non-split prime in a number field

Cites Work

• Secondary terms in counting functions for cubic fields
• The distribution of Euler-Kronecker constants of quadratic fields
• Probabilistic properties of number fields
• The distribution of values of \(L(1,\chi_d)\)
• Zeros of families of automorphic \(L\)-functions close to 1.
• Large character sums
• LARGE VALUES OF FOR TH ORDER CHARACTERS AND APPLICATIONS TO CHARACTER SUMS
• Central limit theorem for Artin L-functions
• Non-abelian number fields with very large class numbers
• Improvement of a Theorem of Linnik and Walfisz
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