A template method for Fourier coefficients of Langlands Eisenstein series

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 $\mathbb{Q}.$ 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.

55 pages

Cited by in corpus (1)

• The Functional Equations of Langlands Eisenstein Series for $SL(n,\mathbb{Z})$