Steven-Owen
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### Questions (52)

 184 In the history of mathematics, has there ever been a mistake? 81 What are some examples of a mathematical result being counterintuitive? 11 Elementary proof that if $A$ is a matrix map from $\mathbb{Z}^m$ to $\mathbb Z^n$, then the map is surjective iff the gcd of maximal minors is $1$ 10 Cauchy's Integral Formula and Green's Theorem 9 Do complex eigenvalues of a real matrix imply a rotation-dilation?

### Reputation (1,950)

 +25 In the history of mathematics, has there ever been a mistake? +5 Elementary proof that if $A$ is a matrix map from $\mathbb{Z}^m$ to $\mathbb Z^n$, then the map is surjective iff the gcd of maximal minors is $1$ +10 Show the polynomial $(x-\alpha)(x-\alpha^p)\cdots(x-\alpha^{p^{n-1}})$ is in $F_p[x]$ if $\alpha\in F_{p^n}$ +5 Is 3 ever a seventh power mod a prime $p$ if $p\equiv 1 (7)$

 4 Show the polynomial $(x-\alpha)(x-\alpha^p)\cdots(x-\alpha^{p^{n-1}})$ is in $F_p[x]$ if $\alpha\in F_{p^n}$ 3 Write down a $\mathbb Q$-Basis for $\mathbb Q(\alpha, i)$ and show that $\mathbb Q(\alpha, i) = \mathbb Q(\alpha + i)$. 3 How to prove $\int_0^a f(x)\,dx=\int_0^a f(a-x)\,dx$ 2 Using characters in finite fields to find number of solutions to polynomials. 1 A simple question about representation of a group

### Tags (53)

 6 finite-fields × 7 1 representation-theory × 8 4 abstract-algebra × 16 1 group-theory × 7 3 field-theory × 3 1 notation × 2 3 calculus 1 real-analysis 3 integration 1 limits

### Accounts (6)

 Mathematics 1,950 rep 31436 MathOverflow 126 rep 2 Meta Stack Exchange 101 rep 1 TeX - LaTeX 101 rep 1 Physics 101 rep 1