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On various mean values of Dirichlet L-functions

Takuya OkamotoTomokazu Onozuka — 2015

Acta Arithmetica

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.

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