Automorphic Forms and Representations

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Cambridge University Press, Nov 28, 1998 - Mathematics - 574 pages
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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.
 

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Contents

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

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