Asymptotic expansions of the mean values of Dirichlet L-functions.
Masanori Katsurada, Kohji Matsumoto (1991)
Mathematische Zeitschrift
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Masanori Katsurada, Kohji Matsumoto (1991)
Mathematische Zeitschrift
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Hideaki Ishikawa (2001)
Acta Arithmetica
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Henry C. Wente (1973/74)
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Denis Borisov, Giuseppe Cardone (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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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...
Wenguang Zhai (2004)
Acta Arithmetica
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Denisov, Vasily, Muravnik, Andrey (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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D.R. Heath-Brown (1981)
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Publications de l'Institut Mathématique
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