Towards Functoriality of Spinor L-functions

  title={Towards Functoriality of Spinor L-functions},
  author={Bernhard Heim},
The object of this work is the spinor L-function of degree 3 and certain degeneration related to the functoriality principle. We study liftings of automorphic forms on the pair of symplectic groups (GSp(2), GSp(4)) to GSp(6). We prove cuspidality and demonstrate the compatibility with conjectures of Andrianov, Panchishkin, Deligne and Yoshida. This is done on a motivic and analytic level. We discuss an underlying torus and L-group homomorphism and put our results in the context of the Langlands… CONTINUE READING