TY - JOUR
T1 - Thomas's family of Thue equations over function fields
AU - Fuchs, Clemens Josef
AU - Ziegler, Volker
PY - 2006
Y1 - 2006
N2 - We consider a function field analogue of Thomas's family of Thue equations X3 − (λ − 1)X2Y − (λ + 2)X Y2 − Y3 = ξ, where the solutions X,Y come from the ring C[T], the parameter λ ∈ C[T] is some non-constant polynomial and 0 ≠ ξ ∈ C. In this paper we solve this family completely.
AB - We consider a function field analogue of Thomas's family of Thue equations X3 − (λ − 1)X2Y − (λ + 2)X Y2 − Y3 = ξ, where the solutions X,Y come from the ring C[T], the parameter λ ∈ C[T] is some non-constant polynomial and 0 ≠ ξ ∈ C. In this paper we solve this family completely.
U2 - 10.1093/qmath/hah062
DO - 10.1093/qmath/hah062
M3 - Article
VL - 57
SP - 81
EP - 91
JO - The Quarterly Journal of Mathematics
JF - The Quarterly Journal of Mathematics
SN - 0033-5606
ER -