Article
Extreme Values of Euler-Kronecker Constants
Authors
Abstract
In a family of \( S_n \)-fields (\( n\leq 5 \)), we show that except for a
density zero set, the lower and upper bounds on the Euler–Kronecker constants
are
\[
-(n-1)\log\log d_K + O(\log\log\log d_K)
\]
and
\[
\log d_K + O(\log\log\log d_K),
\]
respectively, where \( d_K \) is the absolute value of the discriminant of a
number field \( K \).
Keywords
Euler-Kronecker constants, Dedekind zeta functions, Logarithmic derivatives of.
Citation
Kim, H. H. (2021). Extreme values of euler-kronecker constants. Uniform Distribution Theory, 16(1), 41–52. https://doi.org/10.2478/udt-2021-0002
H. H. Kim, “Extreme values of euler-kronecker constants,” Uniform Distribution Theory, vol. 16, no. 1, pp. 41–52, 2021, doi: 10.2478/udt-2021-0002.
Kim HH. Extreme values of euler-kronecker constants. Uniform Distribution Theory. 2021;16(1):41–52. doi:10.2478/udt-2021-0002.
Kim, H. H. (2021), ‘Extreme values of euler-kronecker constants’, Uniform Distribution Theory, 16(1), pp. 41–52. Available at: https://doi.org/10.2478/udt-2021-0002.
Kim, Henry H. “Extreme Values of Euler-kronecker Constants.” Uniform Distribution Theory, vol. 16, no. 1, 2021, pp. 41–52. https://doi.org/10.2478/udt-2021-0002.
Kim, Henry H. “Extreme Values of Euler-kronecker Constants.” Uniform Distribution Theory 16, no. 1 (2021): 41–52. https://doi.org/10.2478/udt-2021-0002.
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Published by: Engineering Journals
