A template method for Fourier coefficients of Langlands Eisenstein series

preprint2020arXivOpen access

Abstract

This paper introduces the template method for computing the first coefficient of Langlands Eisenstein series on $\GL(n,\mathbb R)$ and more generally on Chevalley groups over the adele ring of Q.\mathbb Q. In brief, the first coefficient of Borel Eisenstein series can be used as a template to compute the first coefficient of more general Eisenstein series by elementary linear algebra calculations.

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