List questions from analytic-number-theory

115

Views

A multiplicative function satisfying $\lim_{p^m\to\infty} f(p^m)=0$ implies $\lim_{n\to\infty} f(n)=0$

Published on 09 Apr 2016 - 15:37

68

Views

Number of subsets $S$ of $[n]$ such that $\gcd(S)$ is coprime to $m$

Published on 08 Apr 2026 - 22:39

143

Views

Asymptotic estimate of the sum $\sum_{n\leq x}1/\phi^2(n)$

Published on 11 Apr 2016 - 14:24

944

Views

Proving that $\pi(2x) < 2 \pi(x) $

Published on 06 Apr 2026 - 0:15

147

Views

Prove that the value of the constant $C$ must be $1$

Published on 06 Apr 2026 - 0:18

1.6k

Views

Asymptotic estimate for the sum $\sum_{n\leq x} 2^{\omega(n)}$

Published on 12 Apr 2016 - 15:59

259

Views

Wintner's mean value theorem

Published on 12 Apr 2016 - 16:42

247

Views

Estimate of the derivative

Published on 11 Apr 2026 - 0:15

768

Views

Relation between Meissel–Mertens constant and Euler–Mascheroni constant

Published on 10 Apr 2026 - 16:17

115

Views

Theorem precedding Schnirelmann's Theorem

Published on 25 Mar 2026 - 20:41

5.2k

Views

Euler Product formula for Riemann zeta function proof

Published on 11 Apr 2026 - 13:16

4.7k

Views

Sum of products of $(1 - 1/p)$

Published on 25 Mar 2026 - 23:39

733

Views

Large gap between two consecutive square-free numbers

Published on 16 Apr 2016 - 18:01

72

Views

A change of variables in Riemann's proof of the functional equation of $\zeta(s)$

Published on 11 Apr 2026 - 12:40

2k

Views

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

Published on 04 Apr 2026 - 7:05

List Question

A multiplicative function satisfying $\lim_{p^m\to\infty} f(p^m)=0$ implies $\lim_{n\to\infty} f(n)=0$

Number of subsets $S$ of $[n]$ such that $\gcd(S)$ is coprime to $m$

Asymptotic estimate of the sum $\sum_{n\leq x}1/\phi^2(n)$

Proving that $\pi(2x) < 2 \pi(x) $

Prove that the value of the constant $C$ must be $1$

Asymptotic estimate for the sum $\sum_{n\leq x} 2^{\omega(n)}$

Wintner's mean value theorem

Estimate of the derivative

Relation between Meissel–Mertens constant and Euler–Mascheroni constant

Theorem precedding Schnirelmann's Theorem

Euler Product formula for Riemann zeta function proof

Sum of products of $(1 - 1/p)$

Large gap between two consecutive square-free numbers

A change of variables in Riemann's proof of the functional equation of $\zeta(s)$

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

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