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Correspondances de Shimura. (Shimura correspondences). (French) Zbl 0567.10020
Proc. Int. Congr. Math., Warszawa 1983, Vol. 1, 525-531 (1984).
[For the entire collection see Zbl 0553.00001.]
This is a survey on the author’s articles [J. Math. Pures Appl., IX. Sér. 59, 1-132 (1980; Zbl 0412.10019) and Shimura correspondences and quaternions (Preprint)] devoted to the study of the correspondences between automorphic forms on \(^{\sim}_ 2\) and \(PGL_ 2\) (or one of its twisted forms). Some applications are mentioned.

11F11 Holomorphic modular forms of integral weight
22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings
11F12 Automorphic forms, one variable