A Theorem on Analytic Strong Multiplicity One
| dc.creator | Liu, Jianya | |
| dc.creator | Wang, Yonghui | |
| dc.date | 2008-12-10 | |
| dc.date.accessioned | 2026-07-07T12:11:42Z | |
| dc.date.available | 2026-07-07T12:11:42Z | |
| dc.description | Let $K$ be an algebraic number field, and $π=\otimesπ_{v}$ an irreducible, automorphic, cuspidal representation of $\GL_{m}(\mathbb{A}_{K})$ with analytic conductor $C(π)$. The theorem on analytic strong multiplicity one established in this note states, essentially, that there exists a positive constant $c$ depending on $\varepsilon>0, m,$ and $K$ only, such that $π$ can be decided completely by its local components $π_{v}$ with norm $N(v)<c\cdot C(π)^{2m+\varepsilon}.$ | |
| dc.description | accepted by J. Number Theory | |
| dc.identifier | https://arxiv.org/abs/0812.1969 | |
| dc.identifier | http://arxiv.org/abs/0812.1969 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210306 | |
| dc.subject | Number Theory | |
| dc.subject | 11F70, 11S40, 11F67 | |
| dc.title | A Theorem on Analytic Strong Multiplicity One | |
| dc.type | text |