Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$
Number Theory
2026-03-31 v3 Representation Theory
Abstract
In this paper, we study the special values of Rankin-Selberg L-functions as a continuation of [LLS24]. Utilizing the modular symbol approach, we prove the rationality and period relations for some critical values of Rankin-Selberg L-functions for over any number field that contains a CM field.
Cite
@article{arxiv.2506.20942,
title = {Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$},
author = {Yubo Jin and Jian-Shu Li and Dongwen Liu and Binyong Sun},
journal= {arXiv preprint arXiv:2506.20942},
year = {2026}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2506.06738