On the irrationality measure of \(\log 3\)

DOI10.1016/j.jnt.2014.03.007zbMath1303.11081OpenAlexW2079132918MaRDI QIDQ403297

Lihong Wang, Qiang Wu

Publication date: 29 August 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.03.007

zbMATH Keywords

irrationality measureLLL algorithmsemi-infinite linear programminginteger transfinite diameterlinear independence measure

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Linear forms in logarithms; Baker's method (11J86)

Related Items (11)

THE TOTAL DISTANCE FOR TOTALLY POSITIVE ALGEBRAIC INTEGERS ⋮ On the irrationality measure of \(\ln 7\) ⋮ Симметризованные многочлены в задаче оценки меры иррациональности числа ln31 ⋮ Об оценке меры иррациональности чисел вида $\sqrt{4k+3}\ln{\frac{\sqrt{4k+3}+1}{\sqrt{4k+3}-1}}$ и $\frac{1}{\sqrt{k}}\arctg{\frac{1}{\sqrt{k}}}^1$ ⋮ ON MULTIPLICATIVE COMPOSITIONS OF INTEGERS ⋮ Unnamed Item ⋮ Explicit lower bounds for linear forms ⋮ On irrationality measure of some values of \(\arctan \frac{1}{n} \) ⋮ On irrationality measure of \(\arctan \frac{1}{3} \) ⋮ On simultaneous approximations of $\ln 3$ and $\pi/\sqrt{3}$ by rational numbers ⋮ Sum of digits and change of base

Cites Work

• Unnamed Item
• Unnamed Item
• On the irrationality measure of \(\ln 3\)
• The Rhin–Viola method for log 2
• The Mean Values of Totally Real Algebraic Integers
• Rational approximations to π and some other numbers
• On the linear independence measure of logarithms of rational numbers
• Approximations to the logarithms of certain rational numbers

This page was built for publication: On the irrationality measure of \(\log 3\)