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Spin L-functions on
Authors:Daniel Bump  David Ginzburg
Institution:Department of Mathematics, Stanford University, Stanford, California 94305 ; School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel
Abstract:The ``spin' L-function of an automorphic representation of $GSp_{2n}$ is an Euler product of degree $2^{n}$ associated with the spin representation of the L-group $\mathrm{GSpin}(2n+1)$. If $n=4$ or $5$, and the automorphic representation is generic in the sense of having a Whittaker model, the analytic properties of these L-functions are studied by the Rankin-Selberg method.

Keywords:Spin L-functions
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