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Relation of the Cyclotomic Equation with the Harmonic and Derived Series
We associate some (old) convergent series related to definite integrals with the cyclotomic equation x (m) − 1 = 0, for several natural numbers m; for example, for m = 3, x (3) − 1 = (x − 1)(1 + x + x (2)) leads to [Formula: see text]. In some cases, we express the results in terms of the Dirichlet...
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Hindawi Publishing Corporation
2015
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4320904/ https://www.ncbi.nlm.nih.gov/pubmed/25688380 http://dx.doi.org/10.1155/2015/950521 |