Taku Ishii

Spinor L-functions for generic cusp forms on GSp(2) belonging to principal series representations

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 G A whose archimedean type is a principal series representation, we show that its spinor L-function is continued to an entire function and satisfies the functional equation.