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- Cho, Peter J.
- Lab for L-functions and arithmetic
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Moments of logarithmic derivatives of &ITL&IT-functions
- Author(s)
- Cho, Peter J., Kim, Henry H.
- Issued Date
- 2018-02
- Citation
- JOURNAL OF NUMBER THEORY, v.183, pp.40 - 61
- 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 + l)-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.
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- ISSN
- 0022-314X
- Keyword (Author)
- Logarithmic derivatives of L-functions, Artin L-functions, Moments of L-functions
- Keyword
- NUMBER-FIELDS, S=1
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