The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf
.
Power Values of Certain Quadratic Polynomials
[article]
2010
arXiv
pre-print
In this article we compute the qth power values of the quadratic polynomials f with negative squarefree discriminant such that q is coprime to the class number of the splitting field of f over Q. The theory of unique factorisation and that of primitive divisors of integer sequences is used to deduce a bound on the values of q which is small enough to allow the remaining cases to be easily checked. The results are used to determine all perfect power terms of certain polynomially generated integer sequences, including the Sylvester sequence.
arXiv:0901.3461v2
fatcat:miaxu7wuz5aqhnfkirjf4kk4ia