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    University of Minnesota

    NATURAL BOUNDARIES AND A CORRECT NOTION OF INTEGRAL MOMENTS OF L�FUNCTIONS

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    Abstract. It is shown that a large class of multiple Dirichlet series which arise naturally in the study of moments of Lfunctions have natural boundaries. As a remedy we consider a new class of multiple Dirichlet series whose elements have nice properties: a functional equation and meromorphic continuation. This class suggests the correct notion of integral moments of Lfunctions. 1.

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    Title : NATURAL BOUNDARIES AND A CORRECT NOTION OF INTEGRAL MOMENTS OF L�FUNCTIONS
    Abstract : Abstract. It is shown that a large class of multiple Dirichlet series which arise naturally in the study of moments of Lfunctions have natural boundaries. As a remedy we consider a new class of multiple Dirichlet series whose elements have nice properties: a functional equation and meromorphic continuation. This class suggests the correct notion of integral moments of Lfunctions. 1.
    Subject : unspecified
    Area : Mathematics
    Language : English
    Affiliations : 
    Url : http://www.math.umn.edu/~garrett/m/v/natural_boundary_june_11.pdf
    Doi : 10.1.1.154.9470

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