Automorphic Forms on GL(2)
{{Short description|1970 mathematics text by Jacquet and Landlands}}
{{DISPLAYTITLE:Automorphic Forms on GL(2)}}
Automorphic Forms on GL(2) is a mathematics book by {{harvs|txt|first=H. |last=Jacquet|authorlink=H. Jacquet|first2=Robert |last2=Langlands|author2-link=Robert Langlands|year=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 {{harvs|txt|last=Jacquet|year=1972}} gives an interpretation of some results by Rankin and Selberg in terms of the representation theory of GL(2) × GL(2).
References
- {{citation|url=http://www.math.ubc.ca/~cass/research/books.html|first=R.| last=Godement| authorlink=Roger Godement |title=Notes on Jacquet–Langlands' theory|year=1970|publisher=Institute for Advanced Study }}
- {{citation|mr=0401654
|last1=Jacquet|first1= H|last2= Langlands|first2= R. P.
|title=Automorphic Forms on GL (2)
|series=Lecture Notes in Mathematics|volume= 114|publisher= Springer-Verlag|place= Berlin-New York|year= 1970|url= http://publications.ias.edu/rpl/paper/60|isbn=978-3540049036|doi=10.1007/BFb0058988|s2cid=122773458 |url-access= subscription}}
- {{citation|mr=0562503
|last=Jacquet|first= Hervé
|title=Automorphic Forms on GL(2) Part II
|series=Lecture Notes in Mathematics|volume= 278|publisher= Springer-Verlag|place= Berlin-New York|year= 1972|isbn=978-3-540-05931-8 |doi=10.1007/BFb0058503}}
- {{citation|mr=0562505
|last=Langlands|first= R.
|chapter=Automorphic forms on GL(2)|title= Actes du Congrès International des Mathématiciens (Nice, 1970)|volume= 2|pages=327–329|publisher= Gauthier-Villars|place= Paris|year= 1971|chapter-url=http://www.mathunion.org/ICM/ICM1970.2/Main/icm1970.2.0327.0330.ocr.pdf}}
External links
- {{citation|url=http://wwwf.imperial.ac.uk/~buzzard/maths/research/notes/summary_of_first_bit_of_jacquet_langlands.pdf|last=Buzzard|first=Kevin| authorlink=Kevin Buzzard |title=What is in the book Automorphic forms on GL(2) by Jacquet and Langlands?|year=2012}}