New posts in logarithms

if $f: \Omega \to \mathbb{C} \setminus \{0\}$ is holomorphic and $\Omega$ is simply connected, show there is a holomorphic function $g^2 = f$.

complex-analysis analysis logarithms

Integral ${\large\int}_0^1\left(-\frac{\operatorname{li} x}x\right)^adx$

definite-integrals logarithms special-functions calculus closed-form

Value of Summation of $\log(n)$

complex-analysis asymptotics logarithms summation

Fun logarithm question

logarithms exponentiation

Prove that $\log X < X$ for all $X > 0$

logarithms proof-writing

Geometric interpretation of the Logarithm (in $\mathbb{R}$)

geometry logarithms projective-geometry discrete-logarithms cross-ratio

Proof that $\frac{2}{3} < \log(2) < \frac{7}{10}$

inequality logarithms approximation alternative-proof pi

How to prove $\log n < n$?

calculus inequality logarithms

Derivative of $x^{x^x}$

calculus derivatives logarithms

A conjectured identity for tetralogarithms $\operatorname{Li}_4$

logarithms special-functions closed-form conjectures polylogarithm

Is the natural log of n rational?

real-analysis logarithms

Is $g(x)=\log x$ convex function?

functions logarithms convex-analysis self-learning

Evaluating $\sum_{n \geq 1}\ln \!\left(1+\frac1{2n}\right) \!\ln\!\left(1+\frac1{2n+1}\right)$

calculus integration sequences-and-series logarithms closed-form

How can I find this limit involving thrice-iterated logarithm?

calculus limits logarithms

Integral $\int_0^1\frac{\log(x)\log(1+x)}{\sqrt{1-x}}\,dx$

calculus integration definite-integrals logarithms hypergeometric-function

Series for logarithms

sequences-and-series logarithms

Taylor Series for $\log(x)$

logarithms taylor-expansion

$\log_2 13$ is irrational

elementary-number-theory logarithms alternative-proof rationality-testing

Evaluate $\int^1_0 \log^2(1-x) \log^2(x) \, dx$

real-analysis integration logarithms improper-integrals gamma-function

Where did the word "logarithm" come from?

terminology logarithms math-history