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arxiv: math/0701061 · v1 · submitted 2007-01-02 · 🧮 math.NT

Generalized Stark formulae over function fields

classification 🧮 math.NT
keywords conjectureformulaefunctionstarkadicburnsdeduceelements
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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 deduce a $p$-adic version of Rubin-Stark Conjecture and Burns Conjecture.

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