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Don Fanucci's user avatar
Don Fanucci's user avatar
Don Fanucci's user avatar
Don Fanucci
  • Member for 8 years, 2 months
  • Last seen more than a month ago
14 votes
Accepted

maximum of monic polynomial on unit circle is 1 implies $p(z)=z^n$

4 votes

Let $p>2$ ,Existence of $a,b \in \mathbb{Z}$ such that $a^2+2b^2=p$.

3 votes

Finding primes from 6 integers closest to two twin primes multiplied together.

3 votes

For a group $G$ such that $|G| = p^3$, for $p$ prime, either $|Z(G)| = p$ or $G$ is abelian.

3 votes

Convergence of $f_n(x)=x^n(1-x)^n$

3 votes
Accepted

a bound about a collection of positive probability events

3 votes

How exactly to use Cayley's Hamilton's theorem to find $A^{50}$ in this case? (matrix recursion equation)

2 votes
Accepted

If $\left(3-x,\:x,\:\sqrt{9-x}\right)$ is an arithmetic sequence, find its sixth term.

2 votes

Why is $(x^{2n+1} - (2n+1)x^{n+1} + (2n+1)x^n - 1)/(x-1)^3$ irreducible?

2 votes

Extension on my one of previous questions about each element in a sequence being coprime.

1 vote
Accepted

What could the formula of the present value for such a saving plan?

1 vote

Is $\mathbb{Z}[X]/(I+J)$ integral domain

1 vote
Accepted

Let $R=\Bbb Z(i)$ be the ring of gaussian integers. Describe the cosets of the factor ring $R$ \ $A$ where $A=Ri$.

1 vote
Accepted

If $g\circ f$ is strictly increasing and $f$ is strictly monotonic, then $g$ has the same monotony as$f$?

1 vote
Accepted

AKS - proving that $\frac{n}{p}$ is introspective

0 votes

Show that $\begin{bmatrix}F_{n+1}&F_n\\F_n&F_{n-1}\end{bmatrix} = \begin{bmatrix}1&1\\1&0\end{bmatrix}^n$ for all $n ∈ N$.

0 votes

Hamiltonian Path to Hamiltonian Cycle reduction

-1 votes

Generator polynomial of dual code?