Sean Eberhard
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 29 If $a^2$ divides $b^2$, then $a$ divides $b$ 13 Seating of $n$ people with tickets into $n+k$ chairs with 1st person taking a random seat 12 Prove that for any element $b$, $|b|$ divides $|a|$ (order of $b$ divides order of $a$). 10 How to prove that $2+2 = 2*2 = 2^2 \cdots= 4$ 9 Show that $\lim\limits_{n\to\infty}\frac{1}{n}\sum\limits_{k=0}^{n-1}e^{ik^2}=0$

### Reputation (4,448)

 +10 Prove that for any element $b$, $|b|$ divides $|a|$ (order of $b$ divides order of $a$). +10 Show that $\lim\limits_{n\to\infty}\frac{1}{n}\sum\limits_{k=0}^{n-1}e^{ik^2}=0$ +10 $\mathbb{Q}$ closed in the adeles? +10 “Probability” of a large integer being prime

### Questions (7)

 7 Continuous Brouwer's fixed point theorem via Stokes's theorem? 7 What does the Haar measure on $\hat{\mathbf{Z}}$ look like? 6 Lower central series of a free group 5 Harmonic functions on $\mathbf{Z}^2$ 3 Trajectories on a circular billiards table

### Tags (101)

 41 elementary-number-theory × 4 27 combinatorics × 9 40 real-analysis × 12 21 probability × 2 36 group-theory × 12 20 sequences-and-series × 5 32 abstract-algebra × 8 18 limits × 4 29 divisibility 17 number-theory × 6

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 Mathematics 4,448 rep 921 MathOverflow 2,622 rep 922 Stack Overflow 101 rep 2 Seasoned Advice 101 rep 2 TeX - LaTeX 101 rep 2