Introduction -- The cohomology of GLn -- Analytic tools -- Boundary cohomology -- The strongly inner spectrum and applications -- Eisenstein cohomology -- L-functions -- Harish-Chandra modules over Z / by Günter Harder -- Archimedean intertwining operator / by Uwe Weselmann. "This monograph, which is intended for the Annals of Math Studies, presents an important new result that lies at the intersection of number theory, geometry, and representation theory. Accordingly, the book will serve as a key reference in these fields. Given its comprehensive methodological approach, the book will also provide a model for future work in these areas. This monograph builds on over forty years of ambitious research, initiated by Günter Harder in 1975. The results presented in this book extend well beyond previous research in the field, and are readily generalizeable"-- | 
Eisenstein cohomology for GLn and the special values of Rankin-Selberg L-functio [0,32 mb]