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10
Math.TechQA.Club
2025-01-15 09:56:40
36
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Let $\pi \in \mathbb{Z}[\omega]$ be a prime. Then $\frac{\mathbb{Z}[\omega]}{\pi \mathbb{Z}[\omega]}$ has $N(\pi)$ elements
Published on
15 Jan 2025 - 9:56
#number-theory
#eisenstein-integers
94
Views
Eisenstein integers with norm value of 5
Published on
14 Jan 2025 - 2:04
#number-theory
#algebraic-number-theory
#eisenstein-integers
87
Views
Cubic non-residue calculation
Published on
14 Jan 2025 - 23:48
#number-theory
#algebraic-number-theory
#eisenstein-integers
#cubic-reciprocity
20
Views
Law of cubic reciprocity for a primary prime of norm 3
Published on
14 Jan 2025 - 3:14
#number-theory
#algebraic-number-theory
#eisenstein-integers
1.9k
Views
What are the positive integer solutions to $x^2-x+1 = y^3$?
Published on
14 Jan 2025 - 0:39
#number-theory
#diophantine-equations
#elliptic-curves
#eisenstein-integers
51
Views
Associated elements in $\mathbb{Z}[\frac{1+\sqrt{-3}}{2}]$
Published on
14 Jan 2025 - 4:29
#abstract-algebra
#ring-theory
#associativity
#euclidean-domain
#eisenstein-integers
76
Views
Prove $\mathbb{Z}[\omega]/\left\langle p\right \rangle \cong \mathbb{F}_p[x]/\left \langle x^2+x+1 \right \rangle$
Published on
14 Jan 2025 - 3:46
#abstract-algebra
#ring-theory
#eisenstein-integers
80
Views
Conductor of $\mathbb Q(\omega,\sqrt[3]{\pi})/\mathbb Q(\omega)$ for nonprimary $\pi$
Published on
14 Jan 2025 - 4:19
#algebraic-number-theory
#class-field-theory
#eisenstein-integers
261
Views
Units of $\mathbb{Z}[\omega]$ where $\omega = \frac{1}{2} (1+ \sqrt{a})$, $a<0$ a square free integer.
Published on
13 Jan 2025 - 21:19
#abstract-algebra
#ring-theory
#eisenstein-integers
1.5k
Views
Factoring rational primes over the Eisenstein integers - when can a prime be written as $j^2+3k^2$?
Published on
15 Jan 2025 - 15:37
#prime-numbers
#algebraic-number-theory
#eisenstein-integers
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