A template method for Fourier coefficients of Langlands Eisenstein series

27 Jul 2020  ·  Goldfeld Dorian, Miller Stephen D., Woodbury Michael ·

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 $\mathbb Q.$ 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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Number Theory Representation Theory