On the Gross-Stark Conjecture
Journal Article (Journal Article)
In 1980, Gross conjectured a formula for the expected leading term at s=0 of the Deligne-Ribet p-adic L-function associated to a totally even character ϕ of a totally real field F. The conjecture states that after scaling by L(ϕω-1,0), this value is equal to a p-adic regulator of units in the abelian extension of F cut out by ϕω-1. In this paper, we prove Gross's conjecture.
Full Text
Duke Authors
Cited Authors
- Dasgupta, S; Kakde, M; Ventullo, K
Published Date
- November 1, 2018
Published In
Volume / Issue
- 188 / 3
Start / End Page
- 833 - 870
Electronic International Standard Serial Number (EISSN)
- 1939-8980
International Standard Serial Number (ISSN)
- 0003-486X
Digital Object Identifier (DOI)
- 10.4007/annals.2018.188.3.3
Citation Source
- Scopus