List questions from analytic-number-theory

Published on 13 Apr 2026 - 0:13

230

Views

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

Published on 30 Mar 2026 - 5:02

183

Views

Help using the inclusion-exclusion principle to prove $\sum_{n|d}\mu(d)\frac{n}{d}=\varphi(n)$

Published on 12 Apr 2026 - 19:45

739

Views

Convergence of the Zeta and Phi functions

Published on 06 Apr 2026 - 13:46

810

Views

Applying Möbius Inversion to $\Pi(x)$ and $\pi(x)$

Published on 11 Apr 2026 - 18:59

2.1k

Views

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

Published on 12 Apr 2026 - 16:28

1k

Views

Proofs of trivial zeros of zeta function?

Published on 10 Apr 2026 - 22:39

138

Views

Between Mertens' theorems

Published on 10 Apr 2026 - 14:42

1.2k

Views

Some identities with the Riemann zeta function

Published on 12 Apr 2026 - 13:01

212

Views

Weierstrass product expression for Klein's j-invariant

Published on 12 Apr 2026 - 14:13

1.2k

Views

A general explicit formula for the generalized divisor summatory function?

Published on 19 Aug 2013 - 4:48

1.7k

Views

The asymptotic expansion for the weighted sum of divisors $\sum_{n\leq x} \frac{d(n)}{n}$

Published on 21 Mar 2026 - 4:07

1.9k

Views

Abscissa of Convergence (and of Absolute Convergence) of the Derivative of a Dirichlet Series

Published on 13 Apr 2026 - 8:55

440

Views

Is there an explicit formula connected to $(\log\zeta(s))^2$?

Published on 20 Aug 2013 - 20:49

502

Views

Prime Harmonic Series $\sum\limits_{p\in\mathbb P}\frac1p$

Published on 09 Apr 2026 - 19:23

List Question

Elementary Proof of Landau's count on number representable as sum of two squares

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

Help using the inclusion-exclusion principle to prove $\sum_{n|d}\mu(d)\frac{n}{d}=\varphi(n)$

Convergence of the Zeta and Phi functions

Applying Möbius Inversion to $\Pi(x)$ and $\pi(x)$

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

Proofs of trivial zeros of zeta function?

Between Mertens' theorems

Some identities with the Riemann zeta function

Weierstrass product expression for Klein's j-invariant

A general explicit formula for the generalized divisor summatory function?

The asymptotic expansion for the weighted sum of divisors $\sum_{n\leq x} \frac{d(n)}{n}$

Abscissa of Convergence (and of Absolute Convergence) of the Derivative of a Dirichlet Series

Is there an explicit formula connected to $(\log\zeta(s))^2$?

Prime Harmonic Series $\sum\limits_{p\in\mathbb P}\frac1p$

Trending Questions

Popular # Hahtags

Popular Questions