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richrow
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9 votes
4 answers
195 views

For $a, b, c$ with $a+b+c=0$ prove $\frac15\sum a^5=\frac13\sum a^3\cdot\frac12\sum a^2$ and $\frac17\sum a^7=\frac15\sum a^5\cdot\frac12\sum a^2$

7 votes
1 answer
298 views

Prime numbers which divide $n^3-3n+1$

7 votes
1 answer
294 views

Сharacteristic property of polynomials with integer coefficients

7 votes
1 answer
348 views

Distribution of $\{n^p\alpha\}$ for irrational $\alpha$

5 votes
0 answers
122 views

Image of rational numbers under the polynomial map

4 votes
1 answer
173 views

Bound for the sum of vectors in $\mathbb{R}^n$

4 votes
0 answers
842 views

Isogonal conjugation in quadrilaterals

4 votes
0 answers
72 views

Number of positive real roots of $a_1x^{k_1}(x+1)^{m_1}+a_2x^{k_2}(x+1)^{m_2}+\ldots+a_nx^{k_n}(x+1)^{m_n}-1$ is at most $n^2+n+2$

3 votes
1 answer
2k views

Graph with $2n$ vertices and $n^2+1$ edges has at least $n$ triangles.

3 votes
2 answers
101 views

Every linear operator in irreducible $G$-module can be represented as element of $\mathbb{C}[G]$

3 votes
1 answer
201 views

Generalization of the formula representing power sums as sums of Schur polynomials

2 votes
1 answer
174 views

Irreducibility of $\operatorname{Hom}_{N}(V, W)$ as a $Z(M,N)$-module

2 votes
1 answer
59 views

Inclusion-exclusion type identity

2 votes
0 answers
29 views

Decomposition of polynomial ring $\mathbb{C}[\mathfrak{gl}_n]$ as a $\mathfrak{gl}_n$-module

1 vote
1 answer
135 views

Does circle with the chord is homotopy equivalent to "eight"?

1 vote
0 answers
25 views

The image of the topological embedding is locally closed [duplicate]

1 vote
0 answers
24 views

Littlewood-Richardson coefficients and conjugation of Young diagrams

1 vote
0 answers
47 views

Algebraic solutions of the first order PDE

1 vote
1 answer
140 views

$\textrm{II}_1$ hyperfinite factor isomorphic to the infinite tensor power of matrix algebra

1 vote
1 answer
65 views

Why $(A^n)^*\simeq A^n$ as representations of algebra $A$?

1 vote
0 answers
38 views

Configuration of $n$ lines on the plane: reference

1 vote
1 answer
241 views

Inequality for convex polygons

0 votes
2 answers
145 views

References for combinatorics of finite sets

0 votes
0 answers
90 views

Combinatorial applications of diamond lemma

0 votes
1 answer
65 views

If $|G|=p^n$, then for any $H<G$, there is a $K\leq G$ such that $H\lhd K$ and $[K:H]=p$

0 votes
0 answers
100 views

Convergence of the product $\prod_{n=1}^{\infty}\left(1+\frac{x^n}{n^p}\right)\cos\frac{x^n}{n^q}$