New posts in Nt.Number Theory

Euclid-style proof of Dirichlet’s theorem on primes in certain arithmetic progression

$p^{(m)}(x) \in \mathbb{Z}[x]$ implies $p(x) \in \mathbb{Z}[x]$

Automorphy of mixed Tate motives over $\mathbb{Z}$

Prime numbers in a sparse set

Sequences similar to $\{n\alpha\}$ that are both equidistributed and truly random-like

What's the deal with Möbius pseudorandomness?

A generalization of partition function to the sums of squares

Is $\Bigl\{ n \sum_{k=2}^{n-1} \frac{1}{k}\Bigr\}$ unique $\forall n \in \Bbb{N}, n>1$

Is there a real nonintegral number $x >1$ such that $\lfloor x^n \rfloor$ is a square integer for all $n \in \mathbb{N}$?

Prove or disprove that $\sum_{n=1}^{\infty}\frac{\lambda(n)\mathbb{E}_{n\in\mathbb{N}}[a_n]}{n}=0$ for any choice of $(a_n)$