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arXiv · 2607.19133

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·Zeyu Tian
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Abstract

We explicit 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.

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Yubo Jin, Zeyu Tian. 2026-07-21. Archimedean Modular Symbols for Rankin-Selberg Convolutions of $\mathrm{GL}_n(\mathbb{C})\times\mathrm{GL}_n(\mathbb{C})$ and $\mathrm{GL}_n(\mathbb{C})\times\mathrm{GL}_{n+1}(\mathbb{C})$. https://arxiv.org/abs/2607.19133

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