Article ID Journal Published Year Pages File Type
8897119 Journal of Number Theory 2018 22 Pages PDF
Abstract
We obtain k-th moments of logarithmic derivatives of two kinds of families of L-functions. For a family of Sd+1-fields, where Sd+1 is the symmetric group on (d+1)-letters, it is asymptotic to a constant. For a suitable parametric family, it is asymptotic to (log⁡log⁡X)k. In the last section, we obtain k-th moments of logarithm of Artin L-functions. We obtain the distribution of logarithmic derivatives and logarithms of L-functions by the method of moments.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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