Hilbert’s tenth problem for rational function fields in characteristic 2

Videla, Carlos R.

doi:10.1090/S0002-9939-1994-1159179-6

Proceedings of the American Mathematical Society

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ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Hilbert’s tenth problem for rational function fields in characteristic $2$
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by Carlos R. Videla

Proc. Amer. Math. Soc. 120 (1994), 249-253

DOI: https://doi.org/10.1090/S0002-9939-1994-1159179-6

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Abstract:

In Hilbert’s Tenth problem for fields of rational functions over finite fields (Invent. Math. 103 (1991)) Pheidas showed that Hilbert’s Tenth problem over a field of rational functions with constant field a finite field of characteristic other than $2$ is undecidable. We show that the same holds for characteristic $2$.

References

Thanases Pheidas, Hilbert’s tenth problem for fields of rational functions over finite fields, Invent. Math. 103 (1991), no. 1, 1–8. MR 1079837, DOI 10.1007/BF01239506