Simultaneous approximation of numbers connected with the exponential function
1978 ◽
Vol 25
(4)
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pp. 466-478
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Keyword(s):
AbstractWe give several results concerning the simultaneous approximation of certain complex numbers. For instance, we give lower bounds for |a–ξo |+ | ea – ξ1 |, where a is any non-zero complex number, and ξ are two algebraic numbers. We also improve the estimate of the so-called Franklin Schneider theorem concerning | b – ξ | + | a – ξ | + | ab – ξ. We deduce these results from an estimate for linear forms in logarithms.
Keyword(s):
1982 ◽
Vol 33
(2)
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pp. 171-178
Keyword(s):
2015 ◽
Vol 18
(1)
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pp. 633-646
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2001 ◽
Vol 53
(5)
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pp. 897-922
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Keyword(s):
1995 ◽
Vol 51
(1)
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pp. 145-151
1999 ◽
Vol 59
(2)
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pp. 323-334
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2001 ◽
Vol 25
(7)
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pp. 429-450
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