Asgari, MahdiCogdell, James W.Shahidi, Freydoon2024-12-022024-12-022024-09-25Asgari, M., Cogdell, J. W., Shahidi, F. (2024). Rankin-Selberg L-functions for GSpin x GL groups. https://doi.org/10.48550/arxiv.2409.17323https://hdl.handle.net/20.500.14446/345714We construct an integral representation for the global Rankin-Selberg (partial) L-function L(s, π × τ ) where π is an irreducible globally generic cuspidal automorphic representation of a general spin group (over an arbitrary number field) and τ is one of a general linear group, generalizing the works of Gelbart, Piatetski-Shapiro, Rallis, Ginzburg, Soudry and Kaplan among others. We consider all ranks and both even and odd general spin groups including the quasi-split forms. The resulting facts about the location of poles of L(s, π × τ ) have, in particular, important consequences in describing the image of the Langlands funtorial transfer from the general spin groups to general linear groups.application/pdfThis material has been previously published. In the Oklahoma State University Library's institutional repository this version is made available through the open access principles and the terms of agreement/consent between the author(s) and the publisher. The permission policy on the use, reproduction or distribution of the material falls under fair use for educational, scholarship, and research purposes. Contact Digital Resources and Discovery Services at lib-dls@okstate.edu or 405-744-9161 for further information.10.48550/arxiv.2409.17323Preprintmathematical physicspure mathematicsmathematical sciencesORCID: 0000-0003-4872-4326 (Asgari, Mahdi)ScopusID: 12797213000 (Asgari, Mahdi)