TY - JOUR
AB - Let F be a global function field with constant field Fq. Let G be a reductive group over Fq. We establish a variant of Arthur's truncated kernel for G and for its Lie algebra which generalizes Arthur's original construction. We establish a coarse geometric expansion for our variant truncation.
As applications, we consider some existence and uniqueness problems of some cuspidal automorphic representations for the functions field of the projective line P1Fq with two points of ramifications.
AU - Yu, Hongjie
ID - 12793
IS - 1
JF - Pacific Journal of Mathematics
KW - Arthurâ€“Selberg trace formula
KW - cuspidal automorphic representations
KW - global function fields
SN - 0030-8730
TI - A coarse geometric expansion of a variant of Arthur's truncated traces and some applications
VL - 321
ER -