Skip to main content
MathOverflow
jack's user avatar
jack's user avatar
jack's user avatar
jack
  • Member for 9 years, 8 months
  • Last seen more than a month ago
Profile Activity
Stats
3,153
reputation
19k
reached
0
answers
34
questions
Communities
Badges
View all badges
This user doesn’t have any gold badges yet.
14
silver badges
25
bronze badges
Top tags
View all tags
0
Score
19
Posts
56
Posts %
0
Score
16
Posts
47
Posts %
0
Score
8
Posts
24
Posts %
0
Score
5
Posts
15
Posts %
0
Score
3
Posts
9
Posts %
0
Score
3
Posts
9
Posts %
Top posts
View all questions and answers
question
40
The sequence $a_{n+1}=\left\lceil \frac{-1+\sqrt{5}}{2}a_{n}-a_{n-1} \right\rceil$ is periodic
Jan 30, 2016
question
30
All polynomials are the sum of three others, each of which has only real roots
Mar 10, 2018
question
29
$m$-fold composite $p^{(m)}(x) \in \mathbb{Z}[x]$ implies $p(x) \in \mathbb{Z}[x]$
Dec 19, 2020
question
24
If $x_{n+1}= \frac{nx_{n}^2+1}{n+1}$ then $x_{n}=1$
Aug 12, 2017
question
20
Minimum value of $|p(1)|^2+|p(2)|^2 +...+ |p(n+3)|^2$ over all monic polynomials $p$
Jul 4, 2015
question
20
Find $Y\in\operatorname{GL}_n(\mathbb{Z})$ such that all eigenvalues of $YX$ are nonnegative
Apr 9, 2022
question
18
Show that $(\sum_{k=1}^{n}x_{k}\cos{k})^2+(\sum_{k=1}^{n}x_{k}\sin{k})^2\le (2+\frac{n}{4})\sum_{k=1}^{n}x^2_{k}$
Mar 7, 2020
question
10
Finding $q(x)$ such that $p(q(x))$ is reducible over $\mathbb{Q}[x]$
Apr 18, 2020
question
10
Divisibility condition implies $a_1=\dotsb=a_k$?
Dec 12, 2020
question
10
Permutation of positive integers
Oct 26
Top network posts
View all network posts
38
On the inequality $ \int_{-\infty}^{+\infty}\frac{(p'(x))^2}{(p'(x))^2+(p(x))^2}\,dx \le n^{3/2}\pi.$
20
On the inequality $\frac{1+p(1)+p(2) + \dots + p(n-1)}{p(n)} \leq \sqrt {2n}.$
19
Two sets $X,Y \subset [0,1]$ such that $X+Y=[0,2]$
12
Infinitely many polygons, no four have a common point
10
if $|f(n+1)-f(n)|\leq 2001$, $|g(n+1)-g(n)|\leq 2001$, $|(fg)(n+1)-(fg)(n)|\leq 2001$ then $\min\{f(n),g(n)\}$ is bounded