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C‑Nucleosides Stabilize RNA by Reducing Nucleophilicity at 2'-OH. [PDF]
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Secure distributed multiple imputation enables missing data inference for private data proprietors. [PDF]
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An inequality for a linear form in the logarithms of algebraic numbers
Mathematical Notes, 1969Let ln α1, ..., ln αm−1 be the logarithms of fixed algebraic numbers which are linearly independent over the field of rational numbers, b1, ..., bm−1 rational integers, δ > 0. A bound from below is deduced for the height of the algebraic number αm under the condition that ¦b1 ln α1+...+bm−1ln αm− ¦ < exp {−δH},H=max ¦ b k
N I Fel'Dman
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The Hilbert polynomial and linear forms in the logarithms of algebraic numbers
Izvestiya Mathematics, 2008We prove a new estimate for homogeneous linear forms with integer coefficients in the logarithms of algebraic numbers. We obtain a qualitative improvement of the estimate depending on the coefficients of the linear form and the best value of the constant in the estimate in the case when the number of logarithms is not too large.
O Yu Aristov +2 more
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Linear forms in elliptic logarithms
Journal für die reine und angewandte Mathematik (Crelles Journal), 2009One of the main challenges in the theory of linear forms in elliptic logarithms was raised by S.~Lang in 1964 [\textit{S. Lang}, ''Diophantine approximations on toruses.'' Am. J. Math. 86, 521--533 (1964; Zbl 0142.29601)]. The goal was to produce a lower bound for a linear combination of logarithms of algebraic points on an elliptic curve, with an ...
David, Sinnou, Hirata-Kohno, Noriko
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Hilbert's problems form a list of twenty-three problems in mathematics published by David Hilbert, a German mathematician, in 1900. The problems were all unsolved at the time and several of them were very influential for the 20th century mathematics. Hilbert believed it was essential for mathematicians to find new machineries and methods in order to ...
Bujačić Babić, Sanda, Filipin, Alan
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IMPROVED ESTIMATE FOR A LINEAR FORM OF THE LOGARITHMS OF ALGEBRAIC NUMBERS
Sbornik: Mathematics, 1968N I Fel'Dman, S N Kruzkov, Ju L Smul'Jan
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