A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
Computing points of small height for cubic polynomials
2009
Involve. A Journal of Mathematics
Let φ ∈ [ޑz] be a polynomial of degree d at least two. The associated canonical heightĥ φ is a certain real-valued function on ޑ that returns zero precisely at preperiodic rational points of φ. Morton and Silverman conjectured in 1994 that the number of such points is bounded above by a constant depending only on d. A related conjecture claims that at nonpreperiodic rational points,ĥ φ is bounded below by a positive constant (depending only on d) times some kind of height of φ itself. In
doi:10.2140/involve.2009.2.37
fatcat:zqukkhgewzegdnml6n2wgsbgfy