Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10224080 | Journal of Number Theory | 2018 | 63 Pages |
Abstract
We show that Fourier coefficients of automorphic forms attached to minimal or next-to-minimal automorphic representations of SLn(A) are completely determined by certain highly degenerate Whittaker coefficients. We give an explicit formula for the Fourier expansion, analogously to the Piatetski-Shapiro-Shalika formula. In addition, we derive expressions for Fourier coefficients associated to all maximal parabolic subgroups. These results have potential applications for scattering amplitudes in string theory.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Olof Ahlén, Henrik P.A. Gustafsson, Axel Kleinschmidt, Baiying Liu, Daniel Persson,