New posts in Algebraic Number Theory

Unramified prime

Quadratic subfield of $\mathbb{Q}(\zeta)$

Can class number decrease as we grow over some fixed number field?

Proving a subring of $\Bbb Z[\zeta_{11}]$ is PID

Ring of integers and unit group for local fields

Prove that $x^3+2y^3+4z^3\equiv6xyz \pmod{7} \Rightarrow x\equiv y\equiv z\equiv 0 \pmod{7}$

Showing that $\overline{\mathbb{Z}}/n\overline{\mathbb{Z}}$ is infinite

Order of Algebraic Number Field

Is there a finite quotient Dedekind domain with infinitely many primes of small norm?

If an integer is not sum of two cubes in integers, then the integer cannot be sum of two cubes modulo every integer.