A new multiple Dirichlet series induced by a higher order form

Anton Deitmar; Nikolaos Diamantis

doi:10.4064/aa142-4-1

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arXiv · 0809.4925

A new multiple Dirichlet series induced by a higher order form

Anton Deitmar·Nikolaos Diamantis

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Abstract

A multiple Dirichlet series in two variables is constructed as a Mellin transform of a higher order Eisenstein series. It is shown to extend to a meromorphic function and satisfy two independent functional equations.

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Anton Deitmar, Nikolaos Diamantis. 2017-09-01. A new multiple Dirichlet series induced by a higher order form. https://doi.org/10.4064/aa142-4-1

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