Automorphic Forms and Representations

Front Cover
Cambridge University Press, Nov 28, 1998 - Mathematics - 574 pages
This book covers both the classical and representation theoretic views of automorphic forms in a style that is accessible to graduate students entering the field. The treatment is based on complete proofs, which reveal the uniqueness principles underlying the basic constructions. The book features extensive foundational material on the representation theory of GL(1) and GL(2) over local fields, the theory of automorphic representations, L-functions and advanced topics such as the Langlands conjectures, the Weil representation, the Rankin-Selberg method and the triple L-function, and examines this subject matter from many different and complementary viewpoints. Researchers as well as students in algebra and number theory will find this a valuable guide to a notoriously difficult subject.
 

Contents

V
1
VI
3
VII
17
VIII
26
IX
41
X
54
XI
65
XII
76
XXIX
278
XXX
291
XXXI
307
XXXII
321
XXXIII
341
XXXIV
346
XXXV
368
XXXVI
375

XIII
90
XIV
103
XV
119
XVI
127
XVIII
128
XIX
145
XX
165
XXI
186
XXII
203
XXIII
222
XXIV
241
XXV
243
XXVI
246
XXVII
252
XXVIII
254
XXXVII
385
XXXVIII
397
XL
398
XLI
424
XLII
436
XLIII
452
XLIV
469
XLV
470
XLVI
490
XLVII
511
XLVIII
523
XLIX
549
L
558
LI
568
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