Convoluted Fourier Coefficients of GL(n)-Automorphic Functions. Part 1

Abstract

We study certain cases of convoluted Fourier coefficients of $G{L}_n$-automorphic functions. We establish identities that express them in terms of Fourier coefficients related to unipotent orbits. The most general case that is studied is $(n)\circ (k,2^{n-1})$. The conclusions for this case is only up to a conjecture that I state. However there are certain special cases and other examples that are not based on any conjecture.

Cited by in corpus (1)

• On Fourier Coefficients of GL(n)-Automorphic Functions over Number Fields