On the mean square value of Dirichlet’s $L$-functions

Zhang Wenpeng

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Displaying similar documents to “On the mean square value of Dirichlet’s $L$ -functions”

On the mean values of Dedekind sums

Wenpeng Zhang (1996)

Journal de théorie des nombres de Bordeaux

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In this paper we study the asymptotic behavior of the mean value of Dedekind sums, and give a sharper asymptotic formula.

On a problem of D. H. Lehmer and its generalization

Zhang Wenpeng (1993)

Compositio Mathematica

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On the average of inversion of Dirichlet’s $L$ -functions

Zhang Wenpeng (1992)

Compositio Mathematica

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Asymptotic expansion of solutions of Laplace-Beltrami type singular operators

Maria Pliś (1995)

Studia Mathematica

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The theory of Mellin analytic functionals with unbounded carrier is developed. The generalized Mellin transform for such functionals is defined and applied to solve the Laplace-Beltrami type singular equations on a hyperbolic space. Then the asymptotic expansion of solutions is found.