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.
|Number of pages||17|
|Journal||Annales de la Faculté des Sciences de Toulouse. Série V|
|Publication status||Published - 1980|