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Simultaneous approximation of et and ℘(t)

Published online by Cambridge University Press:  09 April 2009

K. Saradha
K. Saradha
Affiliation:
The Ramanujan Institute University of MadrasMadras 600005, India
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Abstract

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Let t be any complex number different from the poles of a Weierstrass elliptic function ℘(z), having algebraic invariants. Then we estimate from below the sum where α and β are algebraic numbers. The estimate is given in terms of the heights of α and β and the degree of the field Q(α, β), where Q is the field of rationals.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 33 , Issue 2 , October 1982 , pp. 171 - 178
Copyright
Copyright © Australian Mathematical Society 1982

References

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