Stark's conjecture applied to the associated Galois representation of a newform of weight one [MR:0782485] states the following. Let , and for . Let be the L-function of . Then, for all there exists an integer and a unit in the Artin field of , called the Stark unit, such that
In the case where the coefficients of are in , Chinburg further conjectured that there exists a Stark unit for [10.1016/0001-8708(83)90006-3]. Notice that if we choose , the preceding condition always holds. Here, we compute the Stark unit of the newform for and .
Authors:
Knowl status:
- Review status: beta
- Last edited by David Roe on 2024-10-16 17:44:28
Referred to by:
History:
(expand/hide all)
- 2024-10-16 17:44:28 by David Roe
- 2024-10-13 17:25:20 by Arnau Padrés
- 2024-10-13 17:24:07 by Arnau Padrés
- 2024-10-13 13:31:06 by Arnau Padrés