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

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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 PDF

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

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