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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...
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado: |
1983
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| Acceso en liña: | https://ncbi.nlm.nih.gov/pmc/articles/PMC393992/ https://ncbi.nlm.nih.gov/pubmed/16593320 |
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