Intereting Posts

Group presentation for semidirect products
Two equal functions on a topological space
Differentiation continuous iff domain is finite dimensional
Definition of degree of finite morphism plus context
Banach Measures: total, finitely-additive, isometry invariant extensions of Lebesgue Measure
If I roll two fair dice, the probability that I would get at least one 6 would be…
Relation between blowing up at a point and at a variety
How to evaluate $\int \cos^2x \ dx$
How to solve $100x +19 =0 \pmod{23}$
Finitely Additive not Countably Additive on $\Bbb N$
Gaussian integrals over a half-space
Derivative of $f(x,y)$ with respect to another function of two variables $k(x,y)$
One divided by infinity is not zero?
Lebesgue integral of $\chi_{\mathbb{Q}}: \mathbb{R} \rightarrow \mathbb{R}$
Probability of picked cards to be smaller than the largest picked card

From Wikipedia:

“Stronger forms of Dirichlet’s theorem state that, for any arithmetic progression, the sum of the reciprocals of the prime numbers in the progression diverges.”

Can anyone direct me to a proof of this “stronger” fact, or a paper that discusses it? Thanks.

- Invariance of residues modulo $p$
- Are Hilbert primes also Hilbert irreducible ? Furthermore, are Hilbert primes also primes in $\mathbb{ Z}$?
- The use of log in the Mean density of the nontrivial zeros of the Riemann zeta function (part 2)
- Why is Euclid's proof on the infinitude of primes considered a proof?
- What is wrong with this effort to generalize Bertrand's Postulate using the Inclusion-Exclusion Principle
- Prove that 1 less than the number of equivalence classes divides $p-1$ where $p$ is prime

- Set of prime numbers and subrings of the rationals
- Is there an axiomatic approach to ordinal arithmetic?
- Book Reference for Calculus and Linear Algebra :: Engineer
- Good introductory book on Calculus on Manifolds
- Reference to a basic result implying existence and uniqueness of the base-$b$ representation
- Inclusion-Exclusion Convergence
- When are two semidirect products isomorphic?
- Consequences of Degree Theory
- How was $e$ first calculated?
- For any prime $p > 3$, why is $p^2-1$ always divisible by 24?

You can find a proof in Serre’s *A Course in Arithmetic*, chapter 6.

- Structure sheaf consists of noetherian rings
- Integrating $\int\frac{5x^4+4x^5}{(x^5+x+1)^2}dx $
- Construction of a continuous function which is not bounded on given interval.
- How does one prove if a multivariate function is constant?
- Convert a piecewise linear non-convex function into a linear optimisation problem.
- Is there a formula similar to $f(x+a) = e^{a\frac{d}{dx}}f(x)$ to express $f(\alpha\cdot x)$?
- How to prove $\int_0^1\tan^{-1}\left\frac{dx}{x}=\frac{\pi}{8}\ln\frac{\pi^2}{8}?$
- Computing kernel
- Sufficient conditions to conclude that $\lim_{a \to 0^{+}} \int_{0}^{\infty} f(x) e^{-ax} \, dx = \int_{0}^{\infty} f(x) \, dx$
- Showing that a ring is a field as well for one of the provided choices.
- Can a function be applied to itself?
- Intersection of compact and discrete subsets
- Minimal number of moves needed to solve a “Lights Out” variant
- Proof of Divergence for a Sequence
- Is a chain-complete lattice a complete lattice without the axiom of choice?