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Extreme Values of Euler-Kronecker Constants

Henry H. Kim

Henry H. Kim

Department of Mathematics, University of Toronto, Korea Institute for Advanced StudySeoul,
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Kim, Henry H.
  
Oct 30, 2021
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Published Online: Oct 30, 2021
Page range: 41 - 52
Received: Jan 13, 2021
Accepted: Apr 06, 2021
DOI: https://doi.org/10.2478/udt-2021-0002
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© 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 Sn-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 dK+ O(log log log dK) and loglog dK + O(log log log dK), resp., where dK is the absolute value of the discriminant of a number field K.

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English
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2 times per year
Journal Subjects:
Mathematics, Algebra and Number Theory, Discrete Mathematics, Probability and Statistics, Numerical and Computational Mathematics
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