An Easy Transcendence Measure for e
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Theorem 1. Let n≥1 and a0,a1, ..., an be integers of which an≠0 and max|a1|≤H where H exceeds a constant Ho(n) depending only on n. Then
|a0+a1e+...+anen|≥H-cn
where C is an absolute constant.
Authors
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School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay-400005 ,IN
K. Ramachandra
Abstract
The object of this note is to give a simple proof of the following theorem.Theorem 1. Let n≥1 and a0,a1, ..., an be integers of which an≠0 and max|a1|≤H where H exceeds a constant Ho(n) depending only on n. Then
|a0+a1e+...+anen|≥H-cn
where C is an absolute constant.
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Published
1987-06-01
How to Cite
Ramachandra, K. (1987). An Easy Transcendence Measure for <i>e</i>. The Journal of the Indian Mathematical Society, 51(1-2), 111–116. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/22022
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Copyright (c) 1987 K. Ramachandra
This work is licensed under a Creative Commons Attribution 4.0 International License.
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