Seewoo Lee

 22 Is a function periodic $f(x) = \cos (x) +\cos(x^2)$ 15 Is it true that $76^n=76\pmod{100}$ for all $n>0$? 12 Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$? 12 How to prove that there is no differentiable function with given partial derivatives 12 $f$ convex, $g$ concave and increasing, $\int_0^1 f = \int_0^1 g$, then $\int_0^1(f)^2 \geq \int_0^1(g)^2$

### Reputation (8,245)

 +5 Maximum number of singular points on irreducible curve in $\mathbb{CP}^{2}$ +10 $f$ convex, $g$ concave and increasing, $\int_0^1 f = \int_0^1 g$, then $\int_0^1(f)^2 \geq \int_0^1(g)^2$ +10 How to create a formula for a recursive sequence? +5 Deligne-Lusztig theory and cuspidal representations of $\mathrm{GL}_{2}(\mathbb{F}_{q})$

### Questions (151)

 26 Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$? 13 Too much long line 11 Is there a proof of quadratic reciprocity using $p$-adic numbers? 9 Center of $\pi_{1}(\mathbb{R}^{3} \backslash \text{trefoil knot})$ and $\mathrm{PSL}_{2}(\mathbb{Z})$ 9 Congruence about Fibonacci numbers

### Tags (210)

 83 real-analysis × 31 38 integration × 12 64 calculus × 22 36 definite-integrals × 11 56 sequences-and-series × 24 36 algebra-precalculus × 6 55 abstract-algebra × 22 33 group-theory × 21 41 trigonometry × 8 33 inequality × 8