Geodesic
On various mean values of Dirichlet $L$-functions
Takuya Okamoto 1   ; Tomokazu Onozuka 2
1 Department of Human Science and Common Education Nippon Institute of Technology 4-1 Gakuendai Miyashiro-machi Saitama-gun, Saitama 345-8501, Japan
2 Graduate School of Mathematics Nagoya University Chikusa-ku, Nagoya 464-8602, Japan
Acta Arithmetica, Tome 167 (2015) no. 2, pp. 101-115 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We give a method of obtaining explicit formulas for various mean values of Dirichlet $L$-functions which are expressed in terms of the Riemann zeta-function, the Euler function and Jordan's totient functions. Applying those results to mean values of Dirichlet $L$-functions, we also give an explicit formula for certain mean values of double Dirichlet $L$-functions.
DOI : 10.4064/aa167-2-1
Keywords: method obtaining explicit formulas various mean values dirichlet l functions which expressed terms riemann zeta function euler function jordans totient functions applying those results mean values dirichlet l functions explicit formula certain mean values double dirichlet l functions

Takuya Okamoto  1   ; Tomokazu Onozuka  2

1 Department of Human Science and Common Education Nippon Institute of Technology 4-1 Gakuendai Miyashiro-machi Saitama-gun, Saitama 345-8501, Japan
2 Graduate School of Mathematics Nagoya University Chikusa-ku, Nagoya 464-8602, Japan 
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     title = {On various mean values of {Dirichlet} $L$-functions},
     journal = {Acta Arithmetica},
     pages = {101--115},
     year = {2015},
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     doi = {10.4064/aa167-2-1},
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Takuya Okamoto; Tomokazu Onozuka. On various mean values of Dirichlet $L$-functions. Acta Arithmetica, Tome 167 (2015) no. 2, pp. 101-115. doi: 10.4064/aa167-2-1

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