--- res: bibo_abstract: - "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.\r\nAs 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.@eng" bibo_authorlist: - foaf_Person: foaf_givenName: Hongjie foaf_name: Yu, Hongjie foaf_surname: Yu foaf_workInfoHomepage: http://www.librecat.org/personId=3D7DD9BE-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0001-5128-7126 bibo_doi: 10.2140/pjm.2022.321.193 bibo_issue: '1' bibo_volume: 321 dct_date: 2022^xs_gYear dct_identifier: - UT:000954466300006 dct_isPartOf: - http://id.crossref.org/issn/0030-8730 - http://id.crossref.org/issn/1945-5844 dct_language: eng dct_publisher: Mathematical Sciences Publishers@ dct_subject: - Arthur–Selberg trace formula - cuspidal automorphic representations - global function fields dct_title: ' A coarse geometric expansion of a variant of Arthur''s truncated traces and some applications@' ...