I want to find reference of Waldspurger's paper referred at *"Sur les coefficients de Fourier des formes modulaires de poids demi-entier"* J. Math. Pures Appl. (9) 60 (1981), no. 4, 375–484 (available [here at J. Voight's web page](https://math.dartmouth.edu/%7Ejvoight/notes/Waldspurger.pdf)).


The name of ref. is [W] J.L Waldspurger, Correspondance de Shimura
(J. Math. pures et appl., n 60, 1980, p.1-132).


Is there anyone who has the latter ref.?


I don't know the definition of Hecke algebra of
metaplectic group $\mathrm{SL}(2,A)\times\{1,-1\}$.


There are many senses of Hecke algebra but I don't know in the context of that paper (*"Sur les coefficients de Fourier des formes modulaires de poids demi-entier"* )



Reference of J.L. Waldspurger's paper on Shimura correspondence
The full reference is


Jean-Loup Waldspurger, "Sur les coefficients de Fourier des formes modulaires de poids demi-entier", (French) Journal de Mathématiques Pures et Appliquées, IX Séries, 60, 375-484 (1981), [MR0646366](http://www.ams.org/mathscinet-getitem?mr=MR0646366), [Zbl 0431.10015](https://zbmath.org/?q=an%3A0431.10015).


The paper seems to have not been digitized yet.


**Edit following the comment**: all the collections of the "Journal de Mathématiques Pures et Appliquées" from the year 1946 to the year 1997 seem to have not been officially digitized yet. The paper "Correspondances de Shimura" by J.-L. Waldspurger makes no exception and possibly, the best you can find is the 1983 summary for the 1983 ICM in Warsaw already pointed out by @CarloBeenakker.


**Further edit following the comments**. The paper searched seems to be the following one:


Jean-Loup Waldspurger, "Correspondances de Shimura et Shintani" (French), Journal de Mathématiques Pures et Appliquées, IX Séries, 59, 1-132 (1980), [MR0577010](http://www.ams.org/mathscinet-getitem?mr=MR0577010), [Zbl 0412.10019](https://zbmath.org/?q=an%3A0412.10019).


In order to get a copy of that paper (which, as already stated, does not seem to be digitized yet) you can try the "old good way" (obviously enhanced by the use of modern technologies), i.e. ask a librarian near you for a copy of it, possibly by doing the following steps


1. Check for libraries near you holding collections of the journal, in particular the full 1980 year: [the Worldcat gives 852 libraries around the world holding collections of this journal](https://www.worldcat.org/title/journal-de-mathematiques-pures-et-appliquees/oclc/1782372), so I expect this will be a relatively easy task.
2. Chose one library near you which offers the document delivery service: sometimes this service has a fee (that may be significant for long documents, as in this case) but it is not always so, therefore check also if the library is able to make a free copy for you.
3. Provide them the full reference as stated above, and wait for the copy.


