A Shintani-type Formula for Gross – Stark Units over Function Fields

@inproceedings{Dasgupta2009ASF,
  title={A Shintani-type Formula for Gross – Stark Units over Function Fields},
  author={Samit Dasgupta and Alison Miller},
  year={2009}
}
Let F be a totally real number field of degree n, and let H be a finite abelian extension of F . Let p denote a prime ideal of F that splits completely in H. Following Brumer and Stark, Tate conjectured the existence of a p-unit u in H whose p-adic absolute values are related in a precise way to the partial zeta-functions of the extension H/F . Gross later… CONTINUE READING