Jack D'Aurizio
Reputation
99/100 score
13 132 334
Impact
~855k people reached

 72 How to generate a random number between 1 and 10 with a six-sided die? 67 Fibonacci number that ends with 2014 zeros? 55 How to prove that $\frac{\zeta(2) }{2}+\frac{\zeta (4)}{2^3}+\frac{\zeta (6)}{2^5}+\frac{\zeta (8)}{2^7}+\cdots=1$? 54 Fibonacci infinite sum resulting in $\pi$ 46 How to distinguish walking on a sphere or on a torus?

### Reputation (143,144)

 +20 Infinite series with cos in numerator +10 Factorisation of the polynomial $a^6+8a^3+27$ +10 Analyze if this series converges: $\sum_{n=0}^{\infty}\frac{n^{2}+1}{n!}$ +10 Proof that $\left | f(x)-T_{2}(f,0)(x) \right | \leq \frac{2}{3}\left | x \right |^{3}$

### Questions (52)

 33 What is the least $n$ such that it is possible to embed $\operatorname{GL}_2(\mathbb{F}_5)$ into $S_n$? 31 About the integral $\int_{0}^{+\infty}\sin(x\,\log x)\,dx$ 19 Inequality in a bounded real sequence 18 Area enclosed by an equipotential curve for an electric dipole on the plane 17 How to find a total order with constrained comparisons

### Tags (495)

 4k calculus × 1241 1k limits × 355 3k integration × 957 970 inequality × 390 3k sequences-and-series × 881 925 summation × 247 2k real-analysis × 662 834 trigonometry × 260 2k definite-integrals × 417 757 number-theory × 259

### Accounts (5)

 Mathematics 143,144 rep 13132334 MathOverflow 151 rep 13 Mathematics Educators 151 rep 4 Stack Overflow 121 rep 3 Meta Stack Exchange 101 rep 2