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Density of ring of algebraic integers in $\mathbb C$

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#general-topology #number-theory #algebraic-number-theory
451
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Uniqueness of representation of prime as $x^2+2y^2$

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#number-theory #algebraic-number-theory
162
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Identity relating Frobenius to multiplication by p on the ring of Witt vectors

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#number-theory #algebraic-number-theory
399
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Completion of a number field at a complex embedding

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#number-theory #algebraic-number-theory #valuation-theory
379
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$\sum_{\zeta^p=1}(\zeta-1)^n$

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#algebraic-number-theory #p-adic-number-theory #roots-of-unity
183
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What is the class number of $\mathcal{O}_{\sqrt[3]{18}}$?

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#algebraic-number-theory
567
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Lattices in $\mathbb C$ as modules of the ring of integers in an imaginary quadratic field

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#algebraic-number-theory #elliptic-curves #quadratic-forms #integer-lattices #complex-multiplication
135
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Does the equation $\tan(x)=y$ have any non-zero rational solution?

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#trigonometry #polynomials #algebraic-number-theory #functional-equations #rational-numbers
108
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Show that $x$, $y$, $z$ are integers when $3x$, $3x^2-6yz$, $x^3+2y^3+4z^3-6xyz$ are integers.

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#abstract-algebra #algebraic-number-theory
255
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Field, algebraic element

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#field-theory #algebraic-number-theory
129
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In a PID, does every attempt to generate a non-principal ideal just lead back to the whole ring itself?

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#algebraic-number-theory #ideals
721
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Show that there are two ideal classes in $\mathbb{Z}[\sqrt{10}]$

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#number-theory #algebraic-number-theory #ideals
258
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Algebraic number field with non trivial integral basis

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#algebraic-number-theory
191
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Help unmasking a disguised principal ideal

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#algebraic-number-theory #ideals
79
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ramification index of $p$ in $\mathbb{Z}\left[e^{\frac{2\pi i}{p}}\right]$

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#algebraic-number-theory

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