Archimedean period relations for Rankin-Selberg convolutions
Representation Theory
2024-12-30 v1
Abstract
We formulate and prove the archimedean period relations for Rankin-Selberg convolutions of and , for all generic cohomological representations. As a consequence, we prove the non-vanishing of the archimedean modular symbols. This extends the earlier results in [LLS24] for essentially tempered representations of .
Keywords
Cite
@article{arxiv.2412.18805,
title = {Archimedean period relations for Rankin-Selberg convolutions},
author = {Yubo Jin and Dongwen Liu and Binyong Sun},
journal= {arXiv preprint arXiv:2412.18805},
year = {2024}
}