Displaying similar documents to “Fractional moments of Dirichlet L-functions”

Growth of coefficients of universal Dirichlet series

A. Mouze (2007)

Annales Polonici Mathematici

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We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.

On various mean values of Dirichlet L-functions

Takuya Okamoto, Tomokazu Onozuka (2015)

Acta Arithmetica

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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.

Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces

Caixing Gu, Shuaibing Luo, Jie Xiao (2017)

Complex Manifolds

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This paper gives a full characterization of the reducing subspaces for the multiplication operator Mϕ on the Dirichlet space with symbol of finite Blaschke product ϕ of order 5I 6I 7. The reducing subspaces of Mϕ on the Dirichlet space and Bergman space are related. Our strategy is to use local inverses and Riemann surfaces to study the reducing subspaces of Mϕ on the Bergman space. By this means, we determine the reducing subspaces of Mϕ on the Dirichlet space and answer some questions...