New posts in Algebraic Number Theory

How to find the class number of $\mathbb{Q}(\sqrt{-17})$?

$p = x^2 + xy + y^2$ if and only if $p \equiv 1 \text{ mod }3$?

number of prime ideals in algebraic integers

Does the equation $x^2+23y^2=2z^2$ have integer solutions?

What are some applications of Chebotarev Density Theorem?

Quadratic integer ring with universal side divisor?

Non-Euclidean domains examples which have universal side divisor

In what quadratic or quartic integer ring is a prime of the form $a^4 + 4^b$ guaranteed to split?

Why the terminology "global fields" and "local fields"

Square and cubic roots in $\mathbb Q(\sqrt n)$