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Piotr Semenov's user avatar
Piotr Semenov's user avatar
Piotr Semenov's user avatar
Piotr Semenov
  • Member for 11 years, 4 months
  • Last seen more than a week ago
12 votes
2 answers
10k views

When is a cyclotomic polynomial over a finite field a minimal polynomial? [duplicate]

6 votes
1 answer
4k views

How many irreducible factors does $x^n-1$ have over finite field?

3 votes
1 answer
2k views

How many ways to distribute $k$ indistinguishable balls over $m$ of $n$ distinguishable bins of finite capacity $l$?

3 votes
0 answers
106 views

When the product of multiple unimodal p.d.f. is also unimodal p.d.f?

2 votes
0 answers
75 views

Given the roots of polynomial over finite field, what is the count of its distinct nonzero coefficients?

1 vote
2 answers
161 views

Explicit form for solutions x in $\operatorname{Erfc}(-x) = a \cdot e^{-x^2}$

0 votes
0 answers
35 views

For $f(x) \in \mathcal{F}_{q^r}[x]$, how to find all $p(x)f(x)$ s.t. its coefficients are $\mathcal{F}_q$-linear over coefficients of $f(x)$?

0 votes
1 answer
41 views

Analytical solution for $\frac{x \cdot e^{-\frac{a^2}{8(1 + x^2)}} \sqrt{\frac{2}{\pi}}}{(1+x^2)^{1.5}} = \frac1{2 \sqrt{\pi} \cdot x^2}$?

0 votes
1 answer
188 views

Joint PDF of all $n$ order statistics from distinct populations?