Rank Two Non-Abelian Zeta and Its Zeros
| dc.creator | Weng, Lin | |
| dc.date | 2004-12-01 | |
| dc.date.accessioned | 2026-07-07T05:14:50Z | |
| dc.date.available | 2026-07-07T05:14:50Z | |
| dc.description | In this paper, we first reveal an intrinsic relation between non-abelian zeta functions and Epstein zeta functions for algebraic number fields. Then, we expose a fundamental relation between stability of lattices and distance to cusps. Next, using these two relations, we explicitly express rank two zeta functions in terms of the well-known Dedekind zeta functions. Finally, based on such an expression, we show that all zeros of rank two non-abelian zeta functions are entirely sitting on the critical line whose real part equals to 1/2. This is an integrated part of our Geo-Arithmetic Program. | |
| dc.description | 136 pages | |
| dc.identifier | https://arxiv.org/abs/math/0412009 | |
| dc.identifier | http://arxiv.org/abs/math/0412009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73435 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Rank Two Non-Abelian Zeta and Its Zeros | |
| dc.type | text |