We construct a lifting from a elliptic modular cusp form f and a hermitian modular cusp
form g of degree r to a hermitian modular cusp form of degree n + r. This lift is the
so-called Miyawaki lift. When f and g are "Hecke eigenforms", its lift is also a "Hecke eigenform"
(if it is not identically zero). Moreover, we determine explicitly the standard L-function and
A-parameter associated to the Miyawaki lift.
Links:
[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/de/node/3444
[3] http://www.mpim-bonn.mpg.de/de/node/7600