Top Fourier coefficients of residual Eisenstein series on symplectic or metaplectic groups induced from Speh representations

David Ginzburg; David Soudry

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arXiv · 2012.03717

Top Fourier coefficients of residual Eisenstein series on symplectic or metaplectic groups induced from Speh representations

David Ginzburg·David Soudry

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Abstract

We consider the residues at the poles in the right half plane of Eisenstein series, on symplectic groups, or their double covers, induced from Speh representations. We show that for each such pole, there is a unique maximal nilpotent orbit, attached to Fourier coefficients admitted by the corresponding residual representation. We find this orbit in each case.

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David Ginzburg, David Soudry. 2020-12-07. Top Fourier coefficients of residual Eisenstein series on symplectic or metaplectic groups induced from Speh representations. https://arxiv.org/abs/2012.03717

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