Asymptotic expansions of the mean values of Dirichlet L-functions III.
Masanori Katsurada (1994)
Manuscripta mathematica
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Displaying similar documents to “Asymptotic expansions of the mean values of Dirichlet L-functions.”
Asymptotic expansions of the mean values of Dirichlet L-functions III.
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Complete asymptotic expansions for eigenvalues of Dirichlet laplacian in thin three-dimensional rods
Denis Borisov, Giuseppe Cardone (2011)
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We consider the Dirichlet Laplacian in a thin curved three-dimensional rod. The rod is finite. Its cross-section is constant and small, and rotates along the reference curve in an arbitrary way. We find a two-parametric set of the eigenvalues of such operator and construct their complete asymptotic expansions. We show that this two-parametric set contains any prescribed number of the first eigenvalues of the considered operator. We obtain the complete asymptotic expansions for the eigenfunctions...
On various mean values of Dirichlet L-functions
Takuya Okamoto, Tomokazu Onozuka (2015)
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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.
An asymptotic series for the mean value of Dirichlet L-functions.
D.R. Heath-Brown (1981)
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On an asymptotic formula of Srinivasa Ramanujan
K. Ramachandra, A. Sankaranarayanan (2003)
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