欧拉-克罗内克常数的极值

Uniform distribution theory Pub Date : 2021-06-01 DOI:10.2478/udt-2021-0002

Henry H. Kim

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引用次数: 1

摘要

摘要在一类n≤5的n-域中，我们证明了除密度零集外，Euler-Kronecker常数的下界和上界分别是−(n−1)log - log dK+ O(log - log - log dK)和log - dK+ O(log - log - log dK)。，其中dK是数字域K的判别式的绝对值。

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Extreme Values of Euler-Kronecker Constants

Abstract 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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Uniform distribution theory

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