Non-vanishing of the Central Derivative of Canonical Hecke L-functions
| dc.creator | Miller, Stephen D. | |
| dc.creator | Yang, Tonghai | |
| dc.date | 2000-03-20 | |
| dc.date.accessioned | 2026-07-07T04:34:21Z | |
| dc.date.available | 2026-07-07T04:34:21Z | |
| dc.description | In the early 1980s, Rohrlich began a study of canonical Hecke characters, which are closely related to the simplest examples of CM elliptic curves. He and Montgomery showed the non-vanishing of the central value when the L-function has an even functional equation, and we now show the non-vanishing of the central derivative when the functional equation is odd. Using the results of Gross-Zagier and Kolyvagin-Logachev, we can apply the non-vanishing to the ranks and Shafarevitch-Tate groups of the Q-curves "A(p)" studied by Gross in his thesis. In particular, their rank is determined by a congruence condition. http://www.math.yale.edu/users/steve/milleryang | |
| dc.description | 19 Pages | |
| dc.identifier | https://arxiv.org/abs/math/0003114 | |
| dc.identifier | http://arxiv.org/abs/math/0003114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58871 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Non-vanishing of the Central Derivative of Canonical Hecke L-functions | |
| dc.type | text |