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dan_fulea
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22
A reason for $ 64\int_0^1 \left(\frac \pi 4+\arctan t\right)^2\cdot \log t\cdot\frac 1{1-t^2}\; dt =-\pi^4$ ...
Nov 13, 2020
21
A conjecture related to a circle intrinsically bound to any triangle
Jul 4, 2018
16
For $A \in \mathcal{M}_3(\mathbb{C})$, does $\mathrm{tr}(A^2) = \mathrm{tr}(A^3) \in \mathbb{Q}$ imply $\mathrm{tr}(A^4) \in \mathbb{Q}$?
Sep 11, 2019
15
Let $a$ be a $p$-cycle in $S_p$, and let $b$ be a transposition in $S_p$. Show $S_p$ is generated by $a$ and $b$.
May 22, 2018
14
Help with Seemingly Hopeless Double Integral
Mar 26, 2019
12
Do permutations on the decimal expansions of irrational numbers retain the property of irrationality?
Aug 19, 2023
12
Show that the polynomial $P(x):=x^4-6x+6$ has no real roots .
Apr 25, 2023
12
Challenging problem: Calculate $\int_0^{2\pi}x^2 \cos(x)\operatorname{Li}_2(\cos(x))dx$
Nov 12, 2020
11
A ring such that $(a+b)^2=a^2+b^2$ and $(a+b)^3=a^3+b^3$
Sep 17, 2018
10
Evaluate $\sum\limits_{n=1}^{\infty}\frac{1}{n^3}\binom{2n}{n}^{-1}$.
May 20, 2021

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18
The source of the Integral
13
Is there a set $S\subseteq [0,1]$ with $|S|=2^{\aleph_0}$ and distinct pairwise distances?
9
On the solvability of the equation $ax^p+bx^{p-1}+cx+d=0$ by radicals
8
An ellipse through 12 points related to Golden ratio
8
Change date format of pandas column (month-day-year to day-month-year)