On the fundamental periods of Hilbert modular forms
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- by Ze-Li Dou PDF
- Trans. Amer. Math. Soc. 346 (1994), 147-158 Request permission
Abstract:
The main purpose of this paper is to establish the existence of fundamental periods of primitive cusp forms of Hilbert modular type of several variables, as well as the relationship between those fundamental periods and the special values of the associated $L$-functions. These results, together with some recent results of Shimura, give us the means of translating with ease results concerning periods of automorphic forms derived from various points of view. We also verify several conjectures of Shimura on the properties of such fundamental periods.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 346 (1994), 147-158
- MSC: Primary 11F67; Secondary 11F41
- DOI: https://doi.org/10.1090/S0002-9947-1994-1264144-9
- MathSciNet review: 1264144