Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture
Ikeda, Tamotsu
Duke Math. J., Tome 131 (2006) no. 1, p. 469-497 / Harvested from Project Euclid
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We construct a lifting from Siegel cusp forms of degree $r$ to Siegel cusp forms of degree $r{+}2n$ . For $r{=}n{=}1$ , our result is a partial solution of a conjecture made by Miyawaki [27, page 307] in 1992. In particular, we can calculate the standard $L$ -function of a cusp form of degree 3 and weight 12, which is in accordance with Miyawaki's conjecture. We give a conjecture on the Petersson inner product of the lifting in terms of certain $L$ -values
Publié le : 2006-02-15
Classification:  11F46,  11F67 
@article{1139232347,
     author = {Ikeda, Tamotsu},
     title = {Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture},
     journal = {Duke Math. J.},
     volume = {131},
     number = {1},
     year = {2006},
     pages = { 469-497},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1139232347}
}

Ikeda, Tamotsu. Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture. Duke Math. J., Tome 131 (2006) no. 1, pp.  469-497. http://gdmltest.u-ga.fr/item/1139232347/