Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula

"Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula" by the esteemed author is a comprehensive exploration of a fundamental issue in the realm of number theory. Published by Princeton University Press in 1989, this insightful book spans 248 pages, delving into the intricate relationship between automorphic forms on arithmetic subgroups of GL(n,E) and GL(n,F), particularly when E/F is a cyclic extension of number fields. The author expertly tackles the base change problem for GL(n) and provides solutions utilizing the advanced framework of the trace formula. This book is an essential resource for those seeking a deeper understanding of automorphic forms and their applications in modern mathematics. Perfect for scholars and enthusiasts alike, it bridges theoretical concepts with practical implications, making it a must-have addition to any mathematical library.