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dan_fulea
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20
A conjecture related to a circle intrinsically bound to any triangle
Jul 4, 2018
17
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
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
14
Help with Seemingly Hopeless Double Integral
Mar 26, 2019
13
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
12
Show that the polynomial $P(x):=x^4-6x+6$ has no real roots .
Apr 25, 2023
12
Do permutations on the decimal expansions of irrational numbers retain the property of irrationality?
Aug 19, 2023
11
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)