quanta
• Member for 10 years, 9 months

### Questions (81)

 91 Alternative proof that $(a^2+b^2)/(ab+1)$ is a square when it's an integer 64 Does Fermat's Last Theorem hold for cyclotomic integers in $\mathbb{Q(\zeta_{37})}$? 61 What's the goal of mathematics? 58 Golden Number Theory 37 Diophantine applications of Spec?

### Reputation (11,633)

 +10 Does a cubic polynomial with 3 real roots have Galois group C3? +10 Proof of Legendre's theorem on the ternary quadratic form +10 Quotient ring of Gaussian integers +10 Alternative proof that $(a^2+b^2)/(ab+1)$ is a square when it's an integer

 85 Quotient ring of Gaussian integers 34 Prove $\gcd(a+b, a-b) = 1$ or $2\,$ if $\,\gcd(a,b) = 1$ 32 Need a result of Euler that is simple enough for a child to understand 30 Mandelbrot fractal: How is it possible? 18 Irrationality proofs not by contradiction

### Tags (89)

 94 abstract-algebra × 9 62 divisibility × 4 90 ring-theory × 4 43 gcd-and-lcm × 2 88 elementary-number-theory × 17 33 fractals × 2 85 gaussian-integers 30 complex-numbers 85 ideals 29 algebra-precalculus × 10

### Bookmarks (94)

 279 Funny identities [closed] 76 Quotient ring of Gaussian integers 75 Mathematical subjects you wish you learned earlier [closed] 46 Functions $f:\mathbb{N}\rightarrow \mathbb{Z}$ such that $\left(m-n\right) \mid \left(f(m)-f(n)\right)$ 45 Uses of quadratic reciprocity theorem