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Entireness of the Spinor L-functions for certain generic cusp forms on GSp(2)
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 126, Number 4, August 2004
- pp. 899-920
- 10.1353/ajm.2004.0032
- Article
- Additional Information
Let G = GSp(2) be the symplectic group with similitude of degree two, which is defined over Q. For a generic cusp form F on the adelized group GA whose archimedean type is either a (limit of) large discrete series representation or a certain principal series representation, we show that its spinor L-function is continued to an entire function and satisfies the functional equation.