Intereting Posts

Dilogarithm Inversionformula: $ \text{Li}_2(z) + \text{Li}_2(1/z) = -\zeta(2) – \log^2(-z)/2$
Partial limits of sequence
Integral $ \int_0^1 \frac{\ln \ln (1/x)}{1+x^{2p}} dx$…Definite Integral
Prime numbers stretch to infinity, but what about the distance between them?
If $p\mid4n!-1$ then $p>n$
Non-zero Conditional Differential Entropy between a random variable and a function of it
Let $G$ be a simple group of order $n$. Let $H$ be a subgroup of $G$ of index $k$. Show that $n$ divides $k!$
Can every even integer be expressed as the difference of two primes?
Definition of gcd in Euclidean domain dependent on valuation?
How to compute homography matrix H from corresponding points (2d-2d planar Homography)
How do I show that a holomorphic function which satisfies this bound on reciprocals of integers is identically zero?
Evaluate the integral using the theory of residues: $\int_{-\infty}^{\infty} \frac{dx}{(x^2+1)^2(x^2+16)}$
Proof of Different Polynomial Decompositions into Linear Factors
Do you prove all theorems whilst studying?
Does the limit of a descending sequence of connected sets still connected?

As we all know, the theory of class fields began at the paper by Takagi on the abelian extensions of the field of rational numbers. Then one naturally has the following

Where can one find the English version of that paper, or had this paper been translated into English yet?

Thanks.

- Minimal polynomial of $\frac{\sqrt{2}+\sqrt{5}}{\sqrt{3}}$
- Trace and Norm of a separable extension.
- conductor of a quadratic extension of a number field
- Properties of squares in $\mathbb Q_p$
- Showing an ideal is a projective module via a split exact sequence
- What is the index of the $p$-th power of $\mathbb Q_p^\times$ in $\mathbb Q_p^\times$

- What are power series used for? (a reference request)
- References for coordinate-free linear algebra books
- $\mathcal{C}^1$ implies locally Lipschitz in $\mathbb{R}^n$
- “The Galois group of $\pi$ is $\mathbb{Z}$”
- Centre of symmetric group algebra
- Frattini subgroup of a finite group
- Fermat's Last Theorem and Kummer's Objection
- Algebraic integers of a cubic extension
- Topological Conditions Equivalent to “Very Disconnected”
- Multivariate Residue Theorem?

- I don't understand the 'idea' behind the method of characteristics
- Bayes' Rule for Parameter Estimation – Parameters are Random Variables?
- Does there exist a matrix $\mathbf{A}\in\mathbb{R}^{3\times3}$ such that $\mathbf{A}^{2}=-\mathbf{I}$?
- Prove $\frac{1}{\sqrt{x}}\geq \frac{\ln x}{x-1}$
- Pythagorean Theorem Proof Without Words (request for words)
- About the proof that lebesgue measure is a premeasure.
- Derivative of a Matrix with respect to a vector
- Prime divisors of the conductor of an order of an algebraic number field
- Solving inhomogenous ODE
- Expressing a factorial as difference of powers: $\sum_{r=0}^{n}\binom{n}{r}(-1)^r(l-r)^n=n!$?
- Convergence in product topology
- What is the expected number of trials until x successes?
- Convergence of a sequence and some of its subsequences
- for which values of $p$ integral $\int_{\Omega}\frac{1}{|x|^p}$ exists?
- Solving for minimum $x$ given divisibility constraints