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New posts in p-adic-number-theory
Visualization of p-adic numbers
roots
projective-geometry
p-adic-number-theory
visualization
Multidimensional Hensel lifting
commutative-algebra
algebraic-number-theory
p-adic-number-theory
Unramified extension is normal if it has normal residue class extension
field-theory
p-adic-number-theory
diagonalizing a matrix over the $\ell$-adics
linear-algebra
commutative-algebra
modules
p-adic-number-theory
Must a ring homomorphism between $\mathbb Z_p$-algebras be a $\mathbb Z_p$-algebra homomorphism?
abstract-algebra
ring-theory
p-adic-number-theory
Show that $x^4+1$ is reducible in p-adic numbers $\mathbb{Q}_p$ for p>2 prime.
number-theory
p-adic-number-theory
Why does taking completions make number fields simpler?
number-theory
algebraic-number-theory
intuition
p-adic-number-theory
Why do we require the $p$-adic norm to satisfy multiplicativity?
absolute-value
p-adic-number-theory
motivation
multiplicative-function
Computing a uniformizer in a totally ramified extension of $\mathbb{Q}_p$.
field-theory
algebraic-number-theory
p-adic-number-theory
local-field
ramification
Showing that $M$ is free module over $(O_K \otimes_{\mathbb{Z}_p}U)$
number-theory
algebraic-geometry
commutative-algebra
p-adic-number-theory
P-adic integers and roots of unity
number-theory
p-adic-number-theory
Find all $x,y,z$ such that $x^2 + y^2 + z^2 = 3^{10}$
elementary-number-theory
diophantine-equations
p-adic-number-theory
sums-of-squares
Compactly generated $\mathbb Z_p$-submodules of $\mathbb Z_p[[x]]$
abstract-algebra
p-adic-number-theory
The maximal unramified extension of a local field may not be complete
field-theory
algebraic-number-theory
p-adic-number-theory
class-field-theory
Different p-adic topologies on $\mathbb{Q} $ are homeomorphic
general-topology
p-adic-number-theory
Why does the equation $x^2-82y^2=\pm2$ have solutions in every $\mathbb{Z}_p$ but not in $\mathbb{Z}$?
algebraic-number-theory
p-adic-number-theory
valuation-theory
Structure of p-adic units
number-theory
p-adic-number-theory
Continuous functions between p-adic numbers [closed]
group-theory
p-adic-number-theory
continuous-homomorphisms
Integral closure of p-adic integers in maximal unramified extension
number-theory
commutative-algebra
algebraic-number-theory
field-theory
p-adic-number-theory
Why do we define the $\mathfrak{p}$-adic logarithm on a $\mathfrak{p}$-adic number field such that $\log(p) = 0$?
algebraic-number-theory
definition
p-adic-number-theory
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