Spin \(L\)-functions for \(\text{GSO}_{10}\) and \(\text{GSO}_{12}\)
In this paper the author considers Rankin-Selberg type integrals on \(\text{GSO}_{2n}\) where \(n=5,6\). These integrals are rather unusual in two respects. First of all they involve a product of two Eisenstein series. Secondly the \(L\)-series represented by these integrals is a product of two rather different \(L\)-series. In the first case one of the factors is connected with two distinct spin representations of dimension 16 of the \(L\)-group; in the second case the situation is a little different. This paper is devoted to the unfolding arguments and to the local calculations. These are quite intricate and require ``combinatorial'' arguments.
scientific article; zbMATH DE number 5320455
scientific article