Archimedean Modular Symbols for Rankin–Selberg Convolutions of \( \mathrm{GL}_n(\mathbb{C})\times\mathrm{GL}_n(\mathbb{C})\)and \(\mathrm{GL}_n(\mathbb{C})\times\mathrm{GL}_{n+1}(\mathbb{C})\)
Yubo Jin, and Zeyu Tian
arXiv preprint arXiv:2607.19133, Jul 2026
We explicitly calculate the archimedean modular symbol for Rankin–Selberg convolutions of \( \mathrm{GL}_n(\mathbb{C})\times\mathrm{GL}_n(\mathbb{C})\)and \( \mathrm{GL}_n(\mathbb{C})\times\mathrm{GL}_{n+1}(\mathbb{C})\), for all generic cohomological representations.