PreprintarXiv licencearXiv
Exceptional poles of archimedean Asai L-functions
Abstract
Let π be an irreducible generic representation of GLn(ℂ). We classify the exceptional poles of the associated Asai L-function L(s,π,As) and give a representation-theoretic characterization of them. When π is in general position, we further express L(s,π,As) in terms of the exceptional L-factors attached to the irreducible constituents occurring in the derivatives of π.
Related
- Archimedean Asai Zeta Integrals and Cohomological Test Vectors
- Continuity of pluricomplex Green functions with hypersurface poles on certain B-regular domains
- Meromorphic functions together with their partial derivatives sharing zeros and poles in ℂm
- Generalized functions in a Non-Archimedean field
- On the local theory of non-archimedean psh functions
BibTeX
@misc{yadav2026exceptional,
title = {{Exceptional poles of archimedean Asai $L$-functions}},
author = {Akash Yadav},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.34165},
eprint = {2609.34165},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.34165},
}
RIS
TY - UNPB
TI - Exceptional poles of archimedean Asai L-functions
AU - Akash Yadav
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.34165
UR - https://arxiv.org/abs/2609.34165
AB - Let π be an irreducible generic representation of GL_n(ℂ). We classify the exceptional poles of the associated Asai L-function L(s,π,As) and give a representation-theoretic characterization of them. When π is in general position, we further express L(s,π,As) in terms of the exceptional L-factors attached to the irreducible constituents occurring in the derivatives of π.
ER -