New posts in P Adic Number Theory

Proving $2+2^2/2+2^3/3+2^4/4+\cdots=0$ elementarily

Is there a univariate rational polynomial which represents only squares in $\mathbb{R}$ and $\mathbb{Q}_2$, but not all other $\mathbb{Q}_p$?

Totally ramified extensions of $\mathbb{Q}_p$

What are all the unramified extensions of $\mathbb{Q}_p$?

Hensel Lemma and cyclotomic polynomial

$p$-adic logarithm is a homomorphism, formal power series proof

What is the intuition for $p$-adic numbers in wiki-sense?

Relating the base-p periodic expansion of a rational to its p-adic representation

How to compute 2-adic square roots?

Understanding the limit in $\mathbb{Z_p}$