Thomas ’ conjecture over Function Fields for degree 3 Volker
نویسنده
چکیده
Thomas’ conjecture is, given monic polynomials p1, . . . , pd ∈ Z[a] with 0 < deg p1 < · · · < deg pd, then the Thue equation (over the rational integers) (X − p1(a)Y ) · · · (X − pd(a)Y ) + Y d = 1 has only trivial solutions, provided a ≥ a0 with effective computable a0. We consider a function field analogue of Thomas’ conjecture in case of degree d = 3. Moreover we find a counterexample to Thomas’ conjecture for d = 3.
منابع مشابه
Thomas ’ conjecture over Function Fields par
Thomas’ conjecture is, given monic polynomials p1, . . . , pd ∈ Z[a] with 0 < deg p1 < · · · < deg pd, then the Thue equation (over the rational integers) (X − p1(a)Y ) · · · (X − pd(a)Y ) + Y d = 1 has only trivial solutions, provided a ≥ a0 with effective computable a0. We consider a function field analogue of Thomas’ conjecture in case of degree d = 3. Moreover we find a counterexample to Th...
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تاریخ انتشار 2008