Testing the Functional Equation of a High-degree Euler Product
نویسندگان
چکیده
We study the L-functions associated to Siegel modular forms — equivalently, automorphic representations of GSp(4, ށ ޑ) — both theoretically and numerically. For the L-functions of degrees 10, 14, and 16 we perform representation theoretic calculations to cast the Langlands L-function in classical terms. We develop a precise notion of what it means to test a conjectured functional equation for an L-function, and we apply this to the degree-10 adjoint L-function associated to a Siegel modular form.
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تاریخ انتشار 2012