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- W4288450863 abstract "Abstract Let ${operatorname {GL}}_c^{(m)}$ be the covering group of ${operatorname {GL}}_c$, obtained by restriction from the $m$-fold central extension of Matsumoto of the symplectic group. We introduce a new family of Rankin–Selberg integrals for representations of ${operatorname {GL}}_c^{(m)}times {operatorname {GL}}_k^{(m)}$. The construction is based on certain assumptions, which we prove here for $k=1$. Using the integrals, we define local $gamma $-, $L$-, and $epsilon $-factors. Globally, our construction is strong in the sense that the integrals are truly Eulerian. This enables us to define the completed $L$-function for cuspidal representations and prove its standard functional equation." @default.
- W4288450863 created "2022-07-29" @default.
- W4288450863 creator A5079435345 @default.
- W4288450863 date "2022-07-26" @default.
- W4288450863 modified "2023-10-10" @default.
- W4288450863 title "Rankin–Selberg Integrals and <i>L</i>-Functions for Covering Groups of General Linear Groups" @default.
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- W4288450863 doi "https://doi.org/10.1093/imrn/rnac201" @default.
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