A Note on a Fourier Expansion of Automorphic Functions that Nontrivially Involves the Euclidean Algorithm

Abstract

We extend the Fourier expansion of automorphic functions of Piateski-Shapiro and Shalika in a way that the Euclidean algorithm appears nontrivially. Then, we discuss a potential application in the Rankin-Selberg method.

3 pages

References in corpus (1)

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

Cited by in corpus (1)

• On Unfoldings of Some Integrals of Automorphic Functions on General Linear Groups