Abstract
Let p be a Weierstrass elliptic function with algebraic invariants g2 and g3. Let a and b be complex numbers such that a and b are not among the poles of p. A lower bound is given for the simultaneous approximation of p(a), b and p(ab) by algebraic numbers, expressed in their heights and degrees. By a counterexample it is shown that a certain hypothesis on the numbers beta approximating b is necessary.
| Original language | English |
|---|---|
| Pages (from-to) | 101-116 |
| Number of pages | 17 |
| Journal | Annales de la Faculté des Sciences de Toulouse. Série V |
| Volume | 2 |
| Issue number | 2 |
| Publication status | Published - 1980 |