Fourier coefficients attached to small automorphic representations of SLn (A)
Artikel i vetenskaplig tidskrift, 2018
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.
Scattering amplitudes
Nilpotent orbits
Fourier coefficients
Fourier expansion
Small automorphic forms
String Theory
Författare
Olof Ahlen
Max-Planck-Gesellschaft
Henrik Gustafsson
Chalmers, Fysik, Teoretisk fysik
Axel Kleinschmidt
Université libre de Bruxelles (ULB)
Max-Planck-Gesellschaft
Baiying Liu
Purdue University
Daniel Persson
Chalmers, Matematiska vetenskaper, Algebra och geometri
Journal of Number Theory
0022-314X (ISSN) 1096-1658 (eISSN)
Vol. 192 80-142Ämneskategorier
Algebra och logik
Geometri
Matematisk analys
DOI
10.1016/j.jnt.2018.03.022