Diophantine Undecidability over Algebrai
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Alexandra Shlapentokh
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Article
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1996
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Elsevier Science
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English
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We show that Diophantine problem (otherwise known as Hilbert's Tenth Problem) is undecidable over the fields of algebraic functions over the finite fields of constants of characteristic greater than two. This is the first example of Diophantine undecidability over any algebraic field. We also show t