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New posts in algebraic-number-theory
What is a good resource for computations in quadratic integer rings?
abstract-algebra
number-theory
soft-question
algebraic-number-theory
math-software
$\mathbb{Q}(\sqrt[3]{17})$ has class number $1$
algebraic-number-theory
principal-ideal-domains
ramification
ideal-class-group
Is a smooth function sending algebraic numbers to algebraic numbers a polynomial?
complex-analysis
algebraic-number-theory
Singular points of orders of a number field
abstract-algebra
number-theory
algebraic-geometry
algebraic-number-theory
arithmetic-geometry
roots of unity, wild ramification and units of norm one in local fields
algebraic-number-theory
class-field-theory
local-field
ramification
Integer solutions of $x^3+y^3=z^3$ using methods of Algebraic Number Theory
number-theory
algebraic-number-theory
diophantine-equations
A prime number $p$ is ramified in $\mathbb{Q}(\sqrt[p]{a})$.
algebraic-number-theory
ramification
Multidimensional Hensel lifting
commutative-algebra
algebraic-number-theory
p-adic-number-theory
Applications of additive version of Hilbert's theorem 90
number-theory
field-theory
algebraic-number-theory
galois-theory
galois-cohomology
Pairs of $(p,q)$ such that $p^2 + 1 = 2 q^2$?
number-theory
algebraic-number-theory
diophantine-equations
pell-type-equations
Gentle introduction to algebraic number theory
number-theory
reference-request
algebraic-number-theory
book-recommendation
Compatibility of two definitions of the projective class group of a group ring
number-theory
modules
representation-theory
algebraic-number-theory
Irreducibility of cyclotomic polynomials over number fields
abstract-algebra
field-theory
algebraic-number-theory
irreducible-polynomials
cyclotomic-polynomials
Nondegenerate quadratic form $Q$ in $n$ variables with coefficients in $F_p$, cardinality of $\{x \in (\mathbb{F}_p)^n : Q(x) = 0\}$
algebraic-number-theory
Is $\pi/e$ a period?
definite-integrals
algebraic-number-theory
Special privilege enjoyed by Elliptic Curves with Complex Multiplication
number-theory
reference-request
algebraic-geometry
algebraic-number-theory
elliptic-curves
An element is integral iff its minimal polynomial has integral coefficients.
field-theory
algebraic-number-theory
Given an integer, how can I detect the nearest integer perfect power efficiently?
number-theory
polynomials
algebraic-number-theory
exponentiation
perfect-powers
Show that $x^2 + x + 12 = 3y^5$ has no integer solutions.
abstract-algebra
algebraic-number-theory
Number of Primes in Ring of Integers of a Number Field
algebraic-number-theory
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