Newbetuts

Why do no prime ideals ramify in the extension $\mathbb{Q}(\sqrt{p }, \sqrt{q})/\mathbb{Q}(\sqrt{pq })$?

Quadratic extensions of $\mathbb Q$

Computing a uniformizer in a totally ramified extension of $\mathbb{Q}_p$.

fraction field of the integral closure

Integer solutions of $x^2+5y^2=231^2$

p-adic modular form example

Norm of a fractional ideal of an order of an algebraic number field

L-function for Dirichlet characters vs Hecke character

How to prove there are no solutions to $a^2 - 223 b^2 = -3$.

Ramified primes in a cyclotomic number field of a prime power order

What is exactly "Algebraic Dynamics"?

Primes inert in quadratic field of class number one

Relationship between different L-functions

Let $p$ be an odd prime. $p$ and $(1-\zeta_p)^{p-1}$ are associates in $\mathbb{Z}[\zeta_p]$.

On products of ternary quadratic forms $\prod_{i=1}^3 (ax_i^2+by_i^2+cz_i^2) = ax_0^2+by_0^2+cz_0^2$

New posts in algebraic-number-theory

Primes represented by $x^3-21xy^2+35y^3$.

Why does taking completions make number fields simpler?

Compositum of totally ramified extensions is not totally ramified

How to find all the ideals of a given norm?

A Golden Angle Conjecture

Why do no prime ideals ramify in the extension $\mathbb{Q}(\sqrt{p }, \sqrt{q})/\mathbb{Q}(\sqrt{pq })$?

Quadratic extensions of $\mathbb Q$

Computing a uniformizer in a totally ramified extension of $\mathbb{Q}_p$.

fraction field of the integral closure

Integer solutions of $x^2+5y^2=231^2$

p-adic modular form example

Norm of a fractional ideal of an order of an algebraic number field

L-function for Dirichlet characters vs Hecke character

How to prove there are no solutions to $a^2 - 223 b^2 = -3$.

Ramified primes in a cyclotomic number field of a prime power order

What is exactly "Algebraic Dynamics"?

Primes inert in quadratic field of class number one

Relationship between different L-functions

Let $p$ be an odd prime. $p$ and $(1-\zeta_p)^{p-1}$ are associates in $\mathbb{Z}[\zeta_p]$.

On products of ternary quadratic forms $\prod_{i=1}^3 (ax_i^2+by_i^2+cz_i^2) = ax_0^2+by_0^2+cz_0^2$