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PreprintCC BY 4.0arXiv

Archimedean Modular Symbols for Rankin-Selberg Convolutions of GLn(ℂ)×GLn(ℂ) and GLn(ℂ)×GLn+1(ℂ)

  • Yubo Jin
  • Zeyu Tian
Open at sourcePDFDOICite

Abstract

We explicit calculate the archimedean modular symbol for Rankin-Selberg convolutions of GLn(ℂ)×GLn(ℂ) and GLn(ℂ)×GLn+1(ℂ), for all generic cohomological representations.

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Cite

BibTeXRIS
BibTeX
@misc{jin2026archimedean,
  title = {{Archimedean Modular Symbols for Rankin-Selberg Convolutions of $\mathrmGL_n(\mathbbC)\times\mathrmGL_n(\mathbbC)$ and $\mathrmGL_n(\mathbbC)\times\mathrmGL_n+1(\mathbbC)$}},
  author = {Yubo Jin and Zeyu Tian},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.19133},
  eprint = {2607.19133},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.19133},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Archimedean Modular Symbols for Rankin-Selberg Convolutions of GL_n(ℂ)×GL_n(ℂ) and GL_n(ℂ)×GL_n+1(ℂ)
AU  - Yubo Jin
AU  - Zeyu Tian
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2607.19133
UR  - https://arxiv.org/abs/2607.19133
AB  - We explicit calculate the archimedean modular symbol for Rankin-Selberg convolutions of GL_n(ℂ)×GL_n(ℂ) and GL_n(ℂ)×GL_n+1(ℂ), for all generic cohomological representations.
ER  -