A note on elliptic functions and approximation by algebraic numbers of bounded degree

A. Bijlsma

A note on elliptic functions and approximation by algebraic numbers of bounded degree

A. Bijlsma

Mathematics and Computer Science

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Let p be a Weierstrass elliptic function with algebraic invariants g2 and g3. By a counterexample it is shown that lower bounds for the simultaneous approximation of p(a), b and p(ab) by algebraic numbers of bounded degree cannot be given without and added hypothesis on the numbers beta approximating b.

Originele taal-2	Engels
Pagina's (van-tot)	39-42
Aantal pagina's	4
Tijdschrift	Annales de la Faculté des Sciences de Toulouse. Série V
Volume	5
Nummer van het tijdschrift	1
Status	Gepubliceerd - 1983

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title = "A note on elliptic functions and approximation by algebraic numbers of bounded degree",

abstract = "Let p be a Weierstrass elliptic function with algebraic invariants g2 and g3. By a counterexample it is shown that lower bounds for the simultaneous approximation of p(a), b and p(ab) by algebraic numbers of bounded degree cannot be given without and added hypothesis on the numbers beta approximating b.",

author = "A. Bijlsma",

year = "1983",

language = "English",

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PY - 1983

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AB - Let p be a Weierstrass elliptic function with algebraic invariants g2 and g3. By a counterexample it is shown that lower bounds for the simultaneous approximation of p(a), b and p(ab) by algebraic numbers of bounded degree cannot be given without and added hypothesis on the numbers beta approximating b.

M3 - Article

SN - 0240-2963

VL - 5

SP - 39

EP - 42

JO - Annales de la Faculté des Sciences de Toulouse. Série V

JF - Annales de la Faculté des Sciences de Toulouse. Série V

IS - 1

ER -

A note on elliptic functions and approximation by algebraic numbers of bounded degree

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