@article{Derksen:2007wu,
    Abstract = {Lech proved in 1953 that the set of zeroes of a linear recurrence sequence in a field of characteristic 0 is the union of a finite set and finitely many infinite arithmetic progressions. This result is known as the Skolem--Mahler--Lech theorem. Lech gave a counterexample to a similar statement in positive characteristic. We will present some more pathological examples. We will state and prove a correct analog of the Skolem--Mahler--Lech theorem in positive characteristic. The zeroes of a recurrence sequence in positive characteristic can be described using finite automata.},
    Author = {Derksen, Harm},
    File = {A Skolem–Mahler–Lech theorem in positive characteristic and finite automata - Derksen2007\_Article\_ASkolemMahlerLechTheoremInPosi - u - c.pdf},
    ISBN = {1432-1297},
    Journal = {Inventiones mathematicae},
    Number = {1},
    Pages = {175--224},
    Title = {A Skolem--Mahler--Lech theorem in positive characteristic and finite automata},
    URL = {https://doi.org/10.1007/s00222-006-0031-0},
    Volume = {168},
    Year = {2007},
    bdsk-url-1 = {https://doi.org/10.1007/s00222-006-0031-0},
    da = {2007/04/01},
    date-added = {2021-03-18 09:22:35 +0100},
    date-modified = {2021-03-18 09:22:35 +0100},
    id = {Derksen2007},
    ty = {JOUR},
    doi = {10.1007/s00222-006-0031-0}
}

@article{Derksen:2007wu, Abstract = {Lech proved in 1953 that the set of zeroes of a linear recurrence sequence in a field of characteristic 0 is the union of a finite set and finitely many infinite arithmetic progressions. This result is known as the Skolem--Mahler--Lech theorem. Lech gave a counterexample to a similar statement in positive characteristic. We will present some more pathological examples. We will state and prove a correct analog of the Skolem--Mahler--Lech theorem in positive characteristic. The zeroes of a recurrence sequence in positive characteristic can be described using finite automata.}, Author = {Derksen, Harm}, File = {A Skolem–Mahler–Lech theorem in positive characteristic and finite automata - Derksen2007_Article_ASkolemMahlerLechTheoremInPosi - u - c.pdf}, ISBN = {1432-1297}, Journal = {Inventiones mathematicae}, Number = {1}, Pages = {175--224}, Title = {A Skolem--Mahler--Lech theorem in positive characteristic and finite automata}, URL = {https://doi.org/10.1007/s00222-006-0031-0}, Volume = {168}, Year = {2007}, bdsk-url-1 = {https://doi.org/10.1007/s00222-006-0031-0}, da = {2007/04/01}, date-added = {2021-03-18 09:22:35 +0100}, date-modified = {2021-03-18 09:22:35 +0100}, id = {Derksen2007}, ty = {JOUR}, doi = {10.1007/s00222-006-0031-0} }