Duke Mathematical Journal
- Duke Math. J.
- Volume 131, Number 3 (2006), 469-497.
Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture
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
Duke Math. J., Volume 131, Number 3 (2006), 469-497.
First available in Project Euclid: 6 February 2006
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 11F46: Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
Secondary: 11F67: Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols
Ikeda, Tamotsu. Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture. Duke Math. J. 131 (2006), no. 3, 469--497. doi:10.1215/S0012-7094-06-13133-2. https://projecteuclid.org/euclid.dmj/1139232347