Results 231 to 240 of about 7,365 (273)

C‑Nucleosides Stabilize RNA by Reducing Nucleophilicity at 2'-OH. [PDF]

open access: yesACS Cent Sci
Banerjee D   +5 more
europepmc   +1 more source

An inequality for a linear form in the logarithms of algebraic numbers

Mathematical Notes, 1969
Let 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
exaly   +2 more sources

The Hilbert polynomial and linear forms in the logarithms of algebraic numbers

Izvestiya Mathematics, 2008
We 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
exaly   +2 more sources

Linear forms in elliptic logarithms

Journal für die reine und angewandte Mathematik (Crelles Journal), 2009
One 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
openaire   +1 more source

Linear Forms in Logarithms

2016
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
openaire   +2 more sources

IMPROVED ESTIMATE FOR A LINEAR FORM OF THE LOGARITHMS OF ALGEBRAIC NUMBERS

Sbornik: Mathematics, 1968
N I Fel'Dman, S N Kruzkov, Ju L Smul'Jan
exaly   +2 more sources

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