Vi
CONTENTS
Examples of dual reductive pairs 287
By STEPHEN GELBART
On a relation between SL2 cusp forms and automorphic forms on orthogonal
groups 297
By S. RALLIS
A counterexample to the "generalized Ramanujan conjecture" for (quasi-)
split groups 315
By R. HOWE and I.I. PIATETSKI-SHAPIRO
Part 2
III. Automorphic representations and L-functions
Number theoretic background 3
By J. TATE
Automorphic L-functions 27
By A. BOREL
Principal L-functions of the linear group 63
By HERVÉ JACQUET
Automorphic L-functions for the symplectic group GSp4 87
By MARK E. NOVODVORSKY
On liftings of holomorphic cusp forms 97
By TAKURO SHINTANI
Orbital integrals and base change 111
By R. KOTTWITZ
The solution of a base change problem for GL(2) (following Langlands,
Saito, Shintani) 115
By P. GÉRARDIN and J.-P. LABESSE
Report on the local Langlands conjecture for GL2 135
By J. TUNNELL
IV. Arithmetical algebraic geometry and automorphic L-functions
The Hasse-Weil ^-function of some moduli varieties of dimension greater
than one 141
By W. CASSELMAN
Points on Shimura varieties mod P 165
By J. S. MILNE
Combinatorics and Shimura varieties mod p (based on lectures by
Langlands) 185
By R. KOTTWITZ
Notes on L-indistinguishability (based on a lecture by R. P. Langlands) . . . . 193
By D. SHELSTAD
Automorphic representations, Shimura varieties, and motives. Ein
Märchen 205
By R. P. LANGLANDS
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