From Wikipedia, the free encyclopedia
Automorphic Forms on GL(2) is a mathematics book by
H. Jacquet and
Robert Langlands (
1970 ) where they rewrite
Erich Hecke 's theory of
modular forms in terms of the
representation theory of GL(2) over
local fields and
adele rings of
global fields and prove the
Jacquet–Langlands correspondence . A second volume by Jacquet (
1972 ) gives an interpretation of some results by Rankin and Selberg in terms of the representation theory of GL(2) × GL(2).
References
Godement, R. (1970),
Notes on Jacquet–Langlands' theory , Institute for Advanced Study
Jacquet, H; Langlands, R. P. (1970),
Automorphic Forms on GL (2) , Lecture Notes in Mathematics, vol. 114, Berlin-New York: Springer-Verlag,
doi :
10.1007/BFb0058988 ,
ISBN
978-3540049036 ,
MR
0401654 ,
S2CID
122773458
Jacquet, Hervé (1972), Automorphic Forms on GL(2) Part II , Lecture Notes in Mathematics, vol. 278, Berlin-New York: Springer-Verlag,
doi :
10.1007/BFb0058503 ,
ISBN
978-3-540-05931-8 ,
MR
0562503
Langlands, R. (1971),
"Automorphic forms on GL(2)" (PDF) , Actes du Congrès International des Mathématiciens (Nice, 1970) , vol. 2, Paris: Gauthier-Villars, pp. 327–329,
MR
0562505
External links