New posts in analytic-number-theory

Why can this cosine sum function show all primes less than $N^2$?

What might the (normalized) pair correlation function of prime numbers look like? [closed]

How do I prove that there are infinitely many natural numbers $n$ such that $\lfloor\sqrt{3}\cdot\tau(n)\rfloor$ divides $n$?

a formula involving order of Dirichlet characters, $\mu(n)$ and $\varphi(n)$

Sum of squares of sum of squares function $r_2(n)$

Prove that $\sum_{n=1}^\infty \frac{\sigma_a(n)}{n^s}=\zeta(s)\zeta(s-a)$

Erdős and the limiting ratio of consecutive prime numbers

Asymptotic behavior of number of triples $i,j,k\le n$ with pairwise bounded least common multiples each $\le n$.

Polar Density of a Set of Primes

Complex integral with zeta

the constant in the asymptotics of $\sum_{1\le k \le n} \frac{\varphi(k)}{k^2}$

Divisor summatory function for squares

Reference request for a book that covers analytic continuation in great detail starting from basics

What's so special about square root cancellation?

Probability of determinants being coprime

Analytic number theory primer -- sequences and series

What is your idea about this conjecture?

How often is a sum of $k$ consecutive primes also prime?

Representing a number as a sum of at most $k$ squares

$s(n) = a_1 p_1^n + \dots + a_k p_k^n + a_{k + 1}$ is a perfect square for every $n$, prove that $a_1 = a_2 = \dots = a_k = 0$ & $a_{k + 1}$ a square