Ron Ford
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 23 What is sum of all positive odd integers less than $1000$? 16 Proving a relation between $\sum\frac{1}{(2n-1)^2}$ and $\sum \frac{1}{n^2}$ 11 Show that $n \ge \sqrt{n+1}+\sqrt{n}$ 10 Determine splitting field $K$ over $\mathbb{Q}$ of the polynomial $x^3 - 2$ 9 How to prove this inequality $\frac{x^y}{y^x}+\frac{y^z}{z^y}+\frac{z^x}{x^z}\ge 3$

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### Questions (3)

 6 If $q$ is prime, then $w=(1+q+q^2)/3$ is a composite integer iff $w$ has a prime divisor less than $\sqrt{w}$ and congruent to $1$ modulo $6$ 4 Determining a confidence interval for $\sigma$ from a Rayleigh distribution 4 $N_Q(R)=N_Q(Q\cap R)$ where $Q, R \le P$, $Q$ normal and $P$ a $p$-group

### Tags (42)

 50 algebra-precalculus × 4 11 linear-algebra × 3 24 summation × 2 10 splitting-field 20 inequality × 2 10 roots-of-unity 16 sequences-and-series × 2 10 field-theory 13 induction × 4 10 irreducible-polynomials

### Accounts (3)

 Mathematics 869 rep 624 Stack Overflow 109 rep 5 Chemistry 101 rep 1