Displaying similar documents to “A summation formula and an identity for a class of Dirichlet series”

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...

Integral identities and constructions of approximations to zeta-values

Yuri V. Nesterenko (2003)

Journal de théorie des nombres de Bordeaux

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Some general construction of linear forms with rational coefficients in values of Riemann zeta-function at integer points is presented. These linear forms are expressed in terms of complex integrals of Barnes type that allows to estimate them. Some identity connecting these integrals and multiple integrals on the real unit cube is proved.

A class of gap theorems

Norbert Wiener (1934)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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