New posts in Algebraic Number Theory

Sum of three perfect cubes is equal to a perfect fourth

Places of an algebraic number field

Ramified primes, as defined by Neukirch

Completeness in Krasner's Lemma

$-1$ is not a sum of two squares in $\mathbb{Q}(\sqrt{-7})$

Is there alternative factoring of a quintic equation?

Solve the Diophantine Equation $x^2 + 7 = y^5$.

The condition that Euler's prime generating polynomial is a composite number

Ring of integers of $\mathbb{Q}(\sqrt[3]{6})$

Deduce fundamental unit $\mathbb{Z}[\alpha]$ from fundamental unit of $\mathbb{Z}[\alpha,\beta]$