Abstract
We give an explicit formula for the central critical value of the base-change lift to an imaginary quadratic field of an automorphic representation as the square of a finite sum of the values of a nearly holomorphic cusp form in at elliptic curves with complex multiplication by . As long as the transcendental factor of the value is a CM period, is basically any unitary arithmetic Hecke character of inducing the inverse of the central character of .
Citation
Haruzo Hida. "Central critical values of modular Hecke -functions." Kyoto J. Math. 50 (4) 777 - 826, Winter 2010. https://doi.org/10.1215/0023608X-2010-014
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