On the sum ∑k=13 | 2πk − αk |, αk algebraic numbers |
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Authors: | TN Shorey |
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Institution: | School of Mathematics, Tata Institute of Fundamental Research, Colaba, Bombay 5, India |
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Abstract: | If α1, α2, α3 are algebraic numbers satisfying (i) the height of α1, α2, α3 do not exceed H (ii) the degree of the field generated by α1, α2, α3 over the field of rational numbers do not exceed D, then a positive lower bound for is determined explicitly (except for an absolute constant) in terms of D and H. |
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