Publications [#339636] of Samit Dasgupta

Papers Published

1. Dasgupta, S; Kakde, M; Ventullo, K, On the Gross-Stark Conjecture, Annals of Mathematics, vol. 188 no. 3 (November, 2018), pp. 833-870, Annals of Mathematics, Princeton U [doi]
   (last updated on 2024/04/19)

   Abstract:
   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.