科研之友
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摘要
Let E be an elliptic curve defined over the rationals and in minimal Weierstrass form, and let P = (x(1)/z(1)(2), y(1)/z(1)(3)) be a rational point of infinite order on E, where x(1), y(1), z(1) are coprime integers. We show that the integer sequence (z(n))(n >= 1) defined by nP = (x(n)/z(n)(2), y(n)/z(n)(3)) for all n >= 1 does not eventually coincide with (u(n)(2))(n >= 1) for any choice of linear recurrence sequence, (u(n)(2))(n >= 1) with integer values.
- 出版日期2016
