Generalized Dirichlet series and $b$-functions

Ben Lichtin

Displaying similar documents to “Generalized Dirichlet series and $b$ -functions”

On the moderate growth of generalized Dirichlet series for hypoelliptic polynomials

Ben Lichtin (1991)

Compositio Mathematica

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The analytic continuation and the order estimate of multiple Dirichlet series

Kohji Matsumoto, Yoshio Tanigawa (2003)

Journal de théorie des nombres de Bordeaux

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Multiple Dirichlet series of several complex variables are considered. Using the Mellin-Barnes integral formula, we prove the analytic continuation and an upper bound estimate.

A summation formula and an identity for a class of Dirichlet series

Marjorie Senechalle (1966)

Acta Arithmetica

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Large values of Dirichlet polynomials, IV

Martin Huxley, Matti Jutila (1977)

Acta Arithmetica

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On analytic continuation and functional equation of certain Dirichlet series.

Carletti, E., Bragadin, G.Monti (1993)

International Journal of Mathematics and Mathematical Sciences

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Analytic continuation of Dirichlet series.

J. Milne Anderson, Dimitry Khavinson, Harold S. Shapiro (1995)

Revista Matemática Iberoamericana

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The questions considered in this paper arose from the study [KS] of I. Fredholm's (insufficient) proof that the gap series Σ a ζ (where 0 < |a| < 1) is nowhere continuable across {|ζ| = 1}. The interest of Fredholm's method ([F],[ML]) is not so much its efficacy in proving gap theorems (indeed, much more general results can be got by other means, cf. the Fabry gap theorem in [Di]) as in the connection it made between certain special gap series and partial...

Residue currents of the Bochner-Martinelli type.

Mikael Passare, August Tsikh, Alain Yger (2000)

Publicacions Matemàtiques

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Our objective is to construct residue currents from Bochner-Martinelli type kernels; the computations hold in the non complete intersection case and provide a new and more direct approach of the residue of Coleff-Herrera in the complete intersection case; computations involve crucial relations with toroidal varieties and multivariate integrals of the Mellin-Barnes type.

Exponential polynomials and $𝒟$ -modules

C. A. Berenstein, A. Yger (1995)

Compositio Mathematica

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Dirichlet problem for a linear elliptic equation in unbounded domains with $L^{2}$ -boundary data

J. Chabrowski (1984)

Rendiconti del Seminario Matematico della Università di Padova

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Displaying similar documents to “Generalized Dirichlet series and b -functions”

Displaying similar documents to “Generalized Dirichlet series and $b$ -functions”