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- W102000543 abstract "p-adic Differential Operators on Automorphic Forms and Applications by Ellen E. Eischen Co-Chairs: Christopher M. Skinner and Nicholas A. Ramsey We construct certain C∞-differential operators and their p-adic analogues, which act on (vectoror scalar-valued) automorphic forms on the unitary groups U(n, n). We study properties of these operators, and we prove some arithmeticity theorems using them. These differential operators are a generalization to the p-adic case of the C∞-differential operators first studied by H. Maass and later studied extensively by M. Harris and G. Shimura. They are a generalization to the vector-valued situation of the p-adic differential operators constructed in the one-dimensional setting by N. Katz. They should be useful in the construction of certain p-adic L-functions, in particular p-adic L-functions attached to p-adic families of automorphic forms on the unitary groups U(n)× U(n)." @default.
- W102000543 created "2016-06-24" @default.
- W102000543 creator A5031529622 @default.
- W102000543 date "2009-01-01" @default.
- W102000543 modified "2023-09-27" @default.
- W102000543 title "p-adic Differential Operators on Automorphic Forms and Applications." @default.
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