Rational approximations to linear forms of exponentials and binomials
Mahler proved the following quantitative result supplementing the Lindemann-Weierstrass theorem: ǀΣ(i=0)(n)C(i)e(ri)ǀ > H(-n-ε) for any distinct rational numbers r(0),r(1),..., r(n) and rational integers C(0),C(1),...,C(n) with H = max(0≤i≤n) ǀC(i)ǀ. We improve Mahler's estimate by replacing exponen...
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| Veröffentlicht in: | Proc Natl Acad Sci U S A |
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| 1. Verfasser: | |
| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
National Academy of Sciences
1983
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| Online-Zugang: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC393992/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593320/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.80.10.3138 |
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