The signs of the Stieltjes constants associated with the Dedekind zeta function

DOI10.3792/PJAA.94.93zbMath1453.11148arXiv1707.01622OpenAlexW2963267667WikidataQ128815049 ScholiaQ128815049MaRDI QIDQ2421832

Sumaia Saad Eddin

Publication date: 18 June 2019

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01622

zbMATH Keywords

Riemann zeta functionStieltjes constantsDedekind zeta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Zeta functions and (L)-functions of number fields (11R42)

Related Items (2)

A closed-form expression for the Euler-Kronecker constant of a quadratic field ⋮ Stieltjes constants of \(L\)-functions in the extended Selberg class

Cites Work

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• Series representations for the Stieltjes constants
• Euler's constants for the Selberg and the Dedekind zeta functions
• Some constants associated with the Riemann zeta-function
• The signs of some constants associated with the Riemann zeta-function
• Applications of the Laurent-Stieltjes constants for Dirichlet \(L\)-series
• Explicit upper bounds for the Stieltjes constants
• Hypergeometric summation representations of the Stieltjes constants
• Fast computation of the Stieltjes constants
• An effective asymptotic formula for the Stieltjes constants
• Asymptotic estimates for Stieltjes constants: a probabilistic approach
• On the Euler-Kronecker constants of global fields and primes with small norms
• Asymptotic behaviour of the Euler-Kronecker constant

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