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math.NT2007
Generalized Stark formulae over function fields
Ki-Seng Tan
We establish formulae of Stark type for the Stickelberger elements in the function field setting. Our result generalizes a work of Hayes and a conjecture of Gross. It is used to de…
math.NT2007★ 3 cited
On Iwasawa Theory over Function Fields
Ka-Lam Kueh, King Fai Lai, Ki-Seng Tan
Let be a -extension of a global function field of characteristic . Let $\Cl_{k_{\infty},p}$ be the completion of the class group of . We…
math.NT2007
On the m-torsion Subgroup of the Brauer Group of a Global Field
Wen-Chen Chi, Hung-Min Liao, Ki-Seng Tan
In this note, we give a short proof of the existence of certain abelian extension over a given global field . This result implies that for every positive integer , there exis…