 
Summary: A STABLE TRACE FORMULA I. GENERAL EXPANSIONS
James Arthur*
Contents
Introduction
§1 Functions and distributions
§2 Global trace formula: geometric side
§3 Global trace formula: spectral side
§4 Kgroups and transfer factors
§5 An assumption: the fundamental lemma
§6 Statement of Local Theorems 1 and 2
§7 Statement of Global Theorems 1 and 2
§8 Stabilization of the unramified terms
§9 A global vanishing theorem
§10 Endoscopic and stable expansions
* Supported in part by NSERC Operating Grant A3483.
1
Introduction
This paper is the first of three articles designed to stabilize the trace formula. The
goal is to stabilize the global trace formula for a general connected group, subject to a
condition on the fundamental lemma that has been established in some special cases. The
