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New posts in gaussian-integers
Equivalence of two characterizations of the norm of a quadratic integer.
abstract-algebra
number-theory
gaussian-integers
How do I find $a,b\in\mathbb{Z}$ s.t. $\{ac-bd+i(ad+bc)\mid c, d\in\mathbb{Z}\}$ have real and imaginary parts both even or both odd?
abstract-algebra
elementary-number-theory
gaussian-integers
A few questions on the Gaussian integers
abstract-algebra
number-theory
ring-theory
algebraic-number-theory
gaussian-integers
Solve in $\mathbb{Z}$ the equation $x^4 + 1 = 2y^2$.
number-theory
diophantine-equations
gaussian-integers
Algebraically, why is $\mathbb{Z}[i]/(i + 1)$ isomorphic to $\mathbb{Z}_{2}$? [duplicate]
abstract-algebra
ring-theory
gaussian-integers
Parity for Gaussian integers $a+bi,\ a,b\in\Bbb Z$
elementary-number-theory
gaussian-integers
parity
Where is wrong with this fake proof that Gaussian integer is a field?
fake-proofs
gaussian-integers
Can $\operatorname{Re}(a+bi)^{n}$ be overlapped with $a,b\in\mathbb{Z}$ fixed?
number-theory
elementary-number-theory
complex-numbers
diophantine-equations
gaussian-integers
How much of an infinite board can a N-mover reach?
combinatorics
number-theory
sums-of-squares
gaussian-integers
Number of elements in the ring $\mathbb Z [i]/\langle 2+2i\rangle$
abstract-algebra
ring-theory
ideals
maximal-and-prime-ideals
gaussian-integers
Units of Gaussian integers
abstract-algebra
ring-theory
gaussian-integers
Any odd number is of form $a+b$ where $a^2+b^2$ is prime
number-theory
prime-numbers
conjectures
sums-of-squares
gaussian-integers
Quotient ring of Gaussian integers $\mathbb{Z}[i]/(a+bi)$ when $a$ and $b$ are NOT coprime
abstract-algebra
ring-theory
algebraic-number-theory
gaussian-integers
Prove that the Gaussian Integer's ring is a Euclidean domain
abstract-algebra
ring-theory
gaussian-integers
euclidean-domain
Quotient ring of Gaussian integers
abstract-algebra
ring-theory
algebraic-number-theory
ideals
gaussian-integers
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