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Simultaneous approximation of et and ℘(t)
Published online by Cambridge University Press: 09 April 2009
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.
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- Copyright © Australian Mathematical Society 1982
References
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