Newbetuts

What is known about the 'Double log Eulers constant', $\lim_{n \to \infty}{\sum_{k=2}^n\frac{1}{k\ln{k}}-\ln\ln{n}}$?

Divisor sum property of Euler phi function with Mobius inversion

What would change in mathematics if we knew $\pi+e$ is rational?

Upper bound on differences of consecutive zeta zeros

Intuitive basis of Mobius inversion?

On prime factors of $n^2+1$

Bounding the integral $\int_{2}^{x} \frac{\mathrm dt}{\log^{n}{t}}$

On Dirichlet series and critical strips

Why are $L$-functions a big deal?

Would proof of Legendre's conjecture also prove Riemann's hypothesis?

Newman's "Natural proof"(Analytic) of Prime Number Theorem (1980)

Evaluating $\sum\limits_{n=1}^{\infty} \frac{1}{n\operatorname{ GPF}(n)}$, where $\operatorname{ GPF}(n)$ is the greatest prime factor

What is a zeta function?

Bernoulli numbers: comparison to factorials

Finite sum $\sum_{n=2}^N\frac{1}{n^2}\sin^2(\pi x)\csc^2(\frac{\pi x}{n})$

On the mean value of a multiplicative function: Prove that $\sum\limits_{n\leq x} \frac{n}{\phi(n)} =O(x) $

Elementary proof that the limit of $\sum_{i=1}^{\infty} \frac{1}{\operatorname{lcm}(1,2,...,i)}$ is irrational

New posts in analytic-number-theory

Intervals that are free of primes

Argument of the Riemann zeta function on Re(s)=1

Motivation on how does complex analysis come to play in number theory?

What is known about the 'Double log Eulers constant', $\lim_{n \to \infty}{\sum_{k=2}^n\frac{1}{k\ln{k}}-\ln\ln{n}}$?

Divisor sum property of Euler phi function with Mobius inversion

What would change in mathematics if we knew $\pi+e$ is rational?

Upper bound on differences of consecutive zeta zeros

Intuitive basis of Mobius inversion?

On prime factors of $n^2+1$

Bounding the integral $\int_{2}^{x} \frac{\mathrm dt}{\log^{n}{t}}$

On Dirichlet series and critical strips

Why are $L$-functions a big deal?

Would proof of Legendre's conjecture also prove Riemann's hypothesis?

Newman's "Natural proof"(Analytic) of Prime Number Theorem (1980)

Evaluating $\sum\limits_{n=1}^{\infty} \frac{1}{n\operatorname{ GPF}(n)}$, where $\operatorname{ GPF}(n)$ is the greatest prime factor

What is a zeta function?

Bernoulli numbers: comparison to factorials

Finite sum $\sum_{n=2}^N\frac{1}{n^2}\sin^2(\pi x)\csc^2(\frac{\pi x}{n})$

On the mean value of a multiplicative function: Prove that $\sum\limits_{n\leq x} \frac{n}{\phi(n)} =O(x) $

Elementary proof that the limit of $\sum_{i=1}^{\infty} \frac{1}{\operatorname{lcm}(1,2,...,i)}$ is irrational