Abstract
We construct a lifting from Siegel cusp forms of degree to Siegel cusp forms of degree . For , our result is a partial solution of a conjecture made by Miyawaki [27, page 307] in 1992. In particular, we can calculate the standard -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 -values
Citation
Tamotsu Ikeda. "Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture." Duke Math. J. 131 (3) 469 - 497, 15 February 2006. https://doi.org/10.1215/S0012-7094-06-13133-2
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