Inequality question involving a cyclic expression and moduli
45439
Given reals $a_1, a_2, \cdots, a_{n - 1}, a_n$ such that $\sum_{i = 1}^na_1^2 = 1$. Calculate the maximum value of $\sum_{cyc}|a_1 - a_2|$.
73987
Prove the inequality $({1+\frac{a}b})^n$ + $(1+\frac{b}a)^n$ $\geq$ $2^{n+1}$
48092
Inequality involving a finite sum
22029
Solving modular arithmetic questions
104922
Inequality $\frac1a + \frac1b + \frac1c \leq \frac{a^8+b^8+c^8}{a^3b^3c^3}$
63958
how to prove this inequality $(ab+bc+ac)^2 ≥ 3abc(a+b+c)$
116206
Complex number question on proving an inequality.
8784
modulo version of the quadratic formula and Euler's criterion
98002
Let $x$ be a positive real number. Inequality problem with $\pi$ and $x$ terms.
90796
Inequality Regarding e
117262
Proving a logarithm inequality
118244
An $n$th root inequality: $\sqrt[n]{n} < 1 + \sqrt{2/n}$
56623
Stuck trying to prove an inequality
120795
Showing that $\sin^2x\cdot\sin^22x\cdot\sin^24x\cdot\sin^28x\cdots\sin^22^nx\leq\frac{3^n}{4^n}$
97694
Simple Divisor Summation Inequality (with Moebius function)
68960
How to solve $ 13x \equiv 1 ~ (\text{mod} ~ 17) $?
28499
Inequality.$\sqrt{\frac{2a}{b+c}}+\sqrt{\frac{2b}{c+a}}+\sqrt{\frac{2c}{a+b}} \leq 3$