科研之友
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摘要
We show that if a sequence of non-zero polynomials in Z[X-1, X-2] takes small values at translates of a fixed point (xi, eta) by multiples of a fixed rational point within the group C x C*, then xi and eta are both algebraic over Q. The precise statement involves growth conditions on the degree and norm of these polynomials as well as on their absolute values at these translates. It is essentially best possible in some range of the parameters.
- 出版日期2016-8
