MathOverflow

I have a short argument that appears to prove the prime $k$-tuples conjecture using only classical tools (CRT, Mertens, Bertrand, Chebyshev/Paley–Zygmund, Dirichlet). I would appreciate the community's scrutiny, particularly of the equidistribution step...

We say a graded poset P is rank unimodal if the number of elements of each rank $0,\dots,n$ weakly increases up to some maximum value, and weakly decreases for subsequent ranks. I was wondering if there is some known way to quickly check if a distributive...

My Single Parametric Formula Unifying the Riemann Zeta, Dirichlet Eta and Beta Functions
I have been exploring in my jupyterlab notebook a simple but visually striking way to interpolate between the Riemann zeta function ζ(s), the Dirichlet eta function η(s), and the Dirichlet beta function β(s) = L(s, χ₄).Define a finite-sum family (with...

Let $L$ be a finitary relational language. The Morleyization of $L$ is the extended language $L'$ which has one atomic formula for every first-order formula of $L$.
At least -- that's what I think Hodges would say (see his full-length Model Theory, Section 2.6.3, where he calls this construction the atomization of $L$. He notes that this construction is often called Morleyization, but he has opted for this name...