科研之友
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摘要
We study the orbits of a polynomial f is an element of C[X], namely, the sets {alpha, f(alpha), f(f(alpha)), ...} with alpha is an element of C. We prove that if two nonlinear complex polynomials f, g have orbits with infinite intersection, then f and g have a common iterate. More generally, we describe the intersection of any line in C-d with a d-tuple of orbits of nonlinear polynomials, and we formulate a question which generalizes both this result and the Mordell-Lang conjecture.
- 出版日期2012-5-15
