On the Gross-Stark Conjecture

Published

Journal Article

© 2018 Department of Mathematics, Princeton University. 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

International Standard Serial Number (ISSN)

  • 0003-486X

Digital Object Identifier (DOI)

  • 10.4007/annals.2018.188.3.3

Citation Source

  • Scopus