New posts in Products

Prove that $\frac{\sqrt[n]{\prod_{k = 1}^nx_n}}{m} \ge n - 1$ where $\sum_{k = 1}^n\frac{1}{x_k + m} = \frac{1}{m}$.

Find coefficient of $x^2$

Simplification of $\prod\limits_{i=1}^{n}{\sin(it)}$

Compact notation for the product $k(k+1)(k+2)\cdots(k+n)$?

When does the product of all elements in a finite abelian group equal $1$?

Coefficients of polynomial $f_n(q)=\prod_{k=1}^{n}(1+q^k)$

How many 3 digit numbers have the property that the middle digit is the product of the first and last digits?

Simplifying $\prod\limits_{k\neq j=0}^{n-1}\frac1{\lambda_{n,k}-\lambda_{n,j}}$ for $\lambda_{n,k}=\exp\frac{i\pi(2k+1)}{n}$

An equation concerning perfect numbers

Sum of positive elements divided by their "weighted" product - inequality