arXiv Analytics

Sign in

arXiv:1412.7553 [math.NT]AbstractReferencesReviewsResources

Fourier coefficients for automorphic forms on quasisplit classical groups

Dihua Jiang, Baiying Liu

Published 2014-12-23Version 1

In [J14], a conjecture was proposed on a relation between the global Arthur parameters and the structure of Fourier coefficients of the automorphic representations in the corresponding global Arthur packets. In this paper, we discuss the recent progress on this conjecture and certain problems which lead to better understanding of Fourier coefficients of automorphic forms. At the end, we extend a useful technical lemma to a few versions, which are more convenient for future applications.

Comments: To James Cogdell, on the occasion of his 60th birthday
Categories: math.NT, math.RT
Subjects: 11F70, 22E55, 11F30
Related articles: Most relevant | Search more
arXiv:1309.6239 [math.NT] (Published 2013-09-24, updated 2014-12-23)
Arthur Parameters and Fourier coefficients for Automorphic Forms on Symplectic Groups
arXiv:2004.14244 [math.NT] (Published 2020-04-29)
Eulerianity of Fourier coefficients of automorphic forms
arXiv:1309.6240 [math.NT] (Published 2013-09-24)
On Extension of Ginzburg-Jiang-Soudry Correspondence to Certain Automorphic Forms on $Sp_{4mn}(\BA)$ and $\wt{Sp}_{4mn \pm 2n}(\BA)$

Links

Toolbox