@article{Pheidas:1991aa,
    Abstract = {We prove that there is no algorithm to solve arbitrary polynomial equations over a field of rational functions in one letter with constants in a finite field of characteristic other than 2 and hence, Hilbert's Tenth Problem for any such field is undecidable.},
    Author = {Pheidas, Thanases},
    File = {Hilbert’s tenth problem for ﬁelds of rational functions over ﬁnite ﬁelds - Pheidas1991\_Article\_HilbertSTenthProblemForFieldsO - a - v.pdf},
    ISBN = {1432-1297},
    Journal = {Inventiones mathematicae},
    Number = {1},
    Pages = {1--8},
    Title = {Hilbert's Tenth Problem for fields of rational functions over finite fields},
    URL = {https://doi.org/10.1007/BF01239506},
    Volume = {103},
    Year = {1991},
    bdsk-url-1 = {https://doi.org/10.1007/BF01239506},
    da = {1991/12/01},
    date-added = {2020-11-21 10:23:24 +0100},
    date-modified = {2020-11-21 10:23:24 +0100},
    id = {Pheidas1991},
    ty = {JOUR},
    doi = {10.1007/BF01239506}
}

@article{Pheidas:1991aa, Abstract = {We prove that there is no algorithm to solve arbitrary polynomial equations over a field of rational functions in one letter with constants in a finite field of characteristic other than 2 and hence, Hilbert's Tenth Problem for any such field is undecidable.}, Author = {Pheidas, Thanases}, File = {Hilbert’s tenth problem for ﬁelds of rational functions over ﬁnite ﬁelds - Pheidas1991_Article_HilbertSTenthProblemForFieldsO - a - v.pdf}, ISBN = {1432-1297}, Journal = {Inventiones mathematicae}, Number = {1}, Pages = {1--8}, Title = {Hilbert's Tenth Problem for fields of rational functions over finite fields}, URL = {https://doi.org/10.1007/BF01239506}, Volume = {103}, Year = {1991}, bdsk-url-1 = {https://doi.org/10.1007/BF01239506}, da = {1991/12/01}, date-added = {2020-11-21 10:23:24 +0100}, date-modified = {2020-11-21 10:23:24 +0100}, id = {Pheidas1991}, ty = {JOUR}, doi = {10.1007/BF01239506} }