In this paper we prove a conjecture relating the Whittaker function of a certain generating function with the Whittaker function of the theta representation . This enables us to establish that a certain global integral is factorizable and hence deduce the meromorphic continuation of the standard partial function . In fact we prove that this partial function has at most a simple pole at . Here, is a genuine irreducible cuspidal representation of the group .
- L functions
- generating functions
- metaplectic covering groups
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory