Siegel Modular Forms and Theta Series attached to quaternion algebras II

摘要

We continue our study of Yoshida's lifting, which associates to a pair ofautomorphic forms on the adelic multiplicative group of a quaternion algebra aSiegel modular form of degree 2. We consider here the case that the automorphicforms on the quaternion algebra correspond to modular forms of arbitrary evenweights and square free levels; in particular we obtain a construction ofSiegel modular forms of weight 3 attached to a pair of elliptic modular formsof weights 2 and 4.