Stieltjes constants of \(L\)-functions in the extended Selberg class

DOI10.1007/S11139-021-00391-1zbMath1475.11156OpenAlexW3139369178MaRDI QIDQ2038998

Shōta Inoue, Sumaia Saad Eddin, Ade Irma Suriajaya

Publication date: 7 July 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00391-1

zbMATH Keywords

upper bound\(L\)-functionextended Selberg classLaurent-Stieltjes constant

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Evaluation of number-theoretic constants (11Y60)

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
• Value distribution of \(L\)-functions
• Complements to Li's criterion for the Riemann Hypothesis
• Applications of the Laurent-Stieltjes constants for Dirichlet \(L\)-series
• Explicit upper bounds for the Stieltjes constants
• The signs of the Stieltjes constants associated with the Dedekind zeta function
• 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
• Irregular Behaviour of Class Numbers and Euler-Kronecker Constants of Cyclotomic Fields: The Log Log Log Devil at Play
• On the Euler-Kronecker constants of global fields and primes with small norms
• Asymptotic behaviour of the Euler-Kronecker constant
• On the Hurwitz zeta-function

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