Towards Functoriality Of Spinor L-functions

Abstract

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 $(\text{GSp}(2),\text{GSp}(4))$ to $\text{GSp}(6)$. 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 program.

19 pages

References in corpus (4)

• Siegel modular forms and finite symplectic groups
• On special values of spinor L-functions of Siegel cusp eigenforms of genus 3
• L-functions for GSp(4)xGL(2)in the case of high GL(2) conductor
• Integral Representaion for L-functions for GSp(4)xGL(2)