Abstract
| 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 |
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An elliptic analogue of the Franklin-Schneider theorem. / Bijlsma, A.
In: Annales de la Faculté des Sciences de Toulouse. Série V, Vol. 2, No. 2, 1980, p. 101-116.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - An elliptic analogue of the Franklin-Schneider theorem
AU - Bijlsma, A.
PY - 1980
Y1 - 1980
N2 - 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.
AB - 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.
M3 - Article
VL - 2
SP - 101
EP - 116
JO - Annales de la Faculté des Sciences de Toulouse. Série V
JF - Annales de la Faculté des Sciences de Toulouse. Série V
SN - 0240-2963
IS - 2
ER -