Generalized Stark formulae over function fields

Tan, Ki-Seng

doi:10.1090/S0002-9947-08-04830-7

Generalized Stark formulae over function fields
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by Ki-Seng Tan PDF

Trans. Amer. Math. Soc. 361 (2009), 2277-2304 Request permission

Abstract:

We establish formulae of Stark type for the Stickelberger elements in the function field setting. Our result generalizes work of Hayes and a conjecture of Gross. It is used to deduce a $p$-adic version of the Rubin-Stark Conjecture and the Burns Conjecture.

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