Theta correspondence and Hecke operators relative to a quadratic extensionShow full item record
| Title | Theta correspondence and Hecke operators relative to a quadratic extension |
|---|---|
| Author | Dou, Ze-Li |
| Date | 1/1/2000 |
| Description | Let E/F be a totally real quadratic extension of a totally real algebraic number field. To a suitably defined automorphic form h defined with respect to a quaternion algebra B_E over E, we can associate a Hilbert modular form I(z,h) defined with respect to the field F . Such a lifting has been explicitly considered in the author’s recent paper, via a convolution with a theta function, and the Fourier coefficients of the theta lift have been computed in terms of certain periods of the original form. The purpose of the current paper is to establish an explicit formula relating the actions of the Hecke operators on the original automorphic form and its theta lift. |
| Link | https://doi.org/10.4064/aa-93-3-237-255
https://repository.tcu.edu/handle/116099117/65936 |
| Department | Mathematics |
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- Research Publications [1008]