Hilbert's tenth problem for rational function fields in characteristic 
Author:
Carlos R. Videla
Journal:
Proc. Amer. Math. Soc. 120 (1994), 249-253
MSC:
Primary 11U05; Secondary 03D35, 11D99
DOI:
https://doi.org/10.1090/S0002-9939-1994-1159179-6
MathSciNet review:
1159179
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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 
is undecidable. We show that the same holds for characteristic 
.
- [1] Thanases Pheidas, Hilbert’s tenth problem for fields of rational functions over finite fields, Invent. Math. 103 (1991), no. 1, 1–8. MR 1079837, https://doi.org/10.1007/BF01239506
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DOI:
https://doi.org/10.1090/S0002-9939-1994-1159179-6
Article copyright:
© Copyright 1994
American Mathematical Society