Representation Theory Seminar
We construct the Rankin-Selberg-Shimura type zeta integrals for symmetric square $L$-functions on $GL$(2) by Yamana, which is in turn based on the work of Gelbart-Jacquet, Bump-Ginzburg and Takeda. To define the $L$-function, which is given by so called the "greatest common divisor" (gcd) of a family of integrals, it is required to utilize "good sections" developed by Piatetski-Shapiro and Rallis. With this in hand, we present local gamma, epsilon factors and the functional equation over finite ramified places.
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