Geodesic
$p$-adic $L$-functions for unitary Shimura varieties. I: Construction of the Eisenstein measure
Documenta mathematica, John H. Coates' Sixtieth Birthday (2006), pp. 393-464.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We construct the Eisenstein measure in several variables on a quasi-split unitary group, as a first step towards the construction of $p$-adic $L$-functions of families of ordinary holomorphic modular forms on unitary groups. The construction is a direct generalization of Katz' construction of$p$-adic $L$-functions for CM fields, and is based on the theory of p-adic modular forms on unitary Shimura varieties developed by Hida, and on the explicit calculation of non-degenerate Fourier coefficients of Eisenstein series.
Classification : 11F33, 11R23, 14G35 
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     author = {Harris, Michael and Li, Jian-Shu and Skinner, Christopher M.},
     title = {$p$-adic $L$-functions for unitary {Shimura} varieties. {I:} {Construction} of the {Eisenstein} measure},
     journal = {Documenta mathematica},
     pages = {393--464},
     publisher = {mathdoc},
     volume = {John H. Coates' Sixtieth Birthday},
     year = {2006},
     language = {en},
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Harris, Michael; Li, Jian-Shu; Skinner, Christopher M. $p$-adic $L$-functions for unitary Shimura varieties. I: Construction of the Eisenstein measure. Documenta mathematica, John H. Coates' Sixtieth Birthday (2006), pp. 393-464. http://geodesic.mathdoc.fr/item/DOCMA_2006__S5__a12/