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Extreme Values of Euler-Kronecker Constants

| 30 ott 2021

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Uniform distribution theory

Volume 16 (2021): Numero 1 (June 2021)

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Pubblicato online: 30 ott 2021

Pagine: 41 - 52

Ricevuto: 13 gen 2021

Accettato: 06 apr 2021

DOI: https://doi.org/10.2478/udt-2021-0002

Parole chiave
Euler-Kronecker constants, Dedekind zeta functions, Logarithmic derivatives of -functions

© 2021 Henry H. Kim et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In a family of S_n-fields (n ≤ 5), we show that except for a density zero set, the lower and upper bounds of the Euler-Kronecker constants are −(n − 1) log log d_K+ O(log log log d_K) and loglog d_K + O(log log log d_K), resp., where d_K is the absolute value of the discriminant of a number field K.

eISSN:: 2309-5377
Lingua:: Inglese

Frequenza di pubblicazione:: 2 volte all'anno
Argomenti della rivista:: Mathematics, Algebra and Number Theory, Discrete Mathematics, Probability and Statistics, Numerical and Computational Mathematics

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