Arithmetic equivalence for function fields, the Goss zeta function and a generalisation
نویسندگان
چکیده
منابع مشابه
Arithmetic Equivalence for Function Fields, the Goss Zeta Function and a Generalization
A theorem of Tate and Turner says that global function fields have the same zeta function if and only if the Jacobians of the corresponding curves are isogenous. In this note, we investigate what happens if we replace the usual (characteristic zero) zeta function by the positive characteristic zeta function introduced by Goss. We prove that for function fields whose characteristic exceeds their...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2010
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2009.08.002