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15
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Computing degrees and ramification indices of some extensions of $\mathbb{Q}_2$

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#abstract-algebra #algebraic-number-theory #extension-field #local-field #ramification
84
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What is wrong with my conclusion (compositum of local fields)?

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#abstract-algebra #algebraic-number-theory #extension-field #local-field
95
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Is weight sum of Dirichlet character always an algebraic integer (up to power of $2$ and $3$)?

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#number-theory #algebraic-number-theory
175
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Finding all primes above $x-a_i$ in the function field $y^2=(x-a_1)\cdots (x-a_n)$

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#commutative-algebra #algebraic-number-theory #function-fields
306
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Galois Groups in Ramification Theory

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#galois-theory #algebraic-number-theory #valuation-theory #ramification
119
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Differentiating a $p$-adic character

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#abstract-algebra #algebraic-number-theory #p-adic-number-theory #characters
172
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How to determine how many elements in $R / I$ where $R$ is ring of quadratic integers

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#algebraic-number-theory
123
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Primes lying above a prime in a Galois extension

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#field-theory #galois-theory #algebraic-number-theory #galois-extensions
284
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Prove that all algebraic numbers are included in any elementary substructure of $\mathbb R$

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#logic #algebraic-number-theory #model-theory
43
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7, 13 independent units in the local field $\mathbb{Q}_3$

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#algebraic-number-theory
296
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Strong approximation and class number in the adelic setting

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#algebraic-number-theory #algebraic-groups #adeles
1.7k
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If $p$ is prime, then $x^2 +5y^2 = p \iff p\equiv 1,9 $ mod $(20)$.

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#number-theory #elementary-number-theory #algebraic-number-theory #quadratic-forms #quadratic-residues
123
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Splitting of $2$ in a cubic extension

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#algebraic-number-theory
94
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Fourier Expansion of a function on $\mathbb A_k/k$

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#number-theory #fourier-analysis #algebraic-number-theory #adeles
143
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Sum of 2 squares implies efficient factorization

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#number-theory #elementary-number-theory #algebraic-number-theory #factoring #cryptography

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