Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897119 | Journal of Number Theory | 2018 | 22 Pages |
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 (logâ¡logâ¡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
Authors
Peter J. Cho, Henry H. Kim,