New posts in Analytic Number Theory

The zeta function has infinitely many zeros in $0<\Re{s}<1/2$?

Dirichlet series associated to squared Möbius

A direct proof that there is a prime between $n$ and $n^2+1$?

The Möbius function is the sum of the primitive $n$th roots of unity.

How many elliptic curves have complex multiplication?

Is $ \sin: \mathbb{N} \to \mathbb{R}$ injective?

Is there an explicit irrational number which is not known to be either algebraic or transcendental?

Euler Product formula for Riemann zeta function proof

Study and research guide on Euler–Mascheroni constant

Convergence of prime zeta function for $\mathfrak R(s)=1$?