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A Rankin-Selberg Integral for SU2,2

Abstract

We construct a Rankin-Selberg integral for the non-split quasi-split unitary group SU2,2 and prove that it is Eulerian. We then compute the local integral at inert places where all data are unramified, and show that it represents the local adjoint L-function of SU2,2.

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BibTeX
@misc{ma2026rankinselberg,
  title = {{A Rankin-Selberg Integral for $SU_2,2$}},
  author = {Ning Ma},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05854},
  eprint = {2611.05854},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05854},
}
RIS
TY  - UNPB
TI  - A Rankin-Selberg Integral for SU_2,2
AU  - Ning Ma
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.05854
UR  - https://arxiv.org/abs/2611.05854
AB  - We construct a Rankin-Selberg integral for the non-split quasi-split unitary group SU_2,2 and prove that it is Eulerian. We then compute the local integral at inert places where all data are unramified, and show that it represents the local adjoint L-function of SU_2,2.
ER  -