Question

The density of square-free integers satisfying a congruence relation

score 761 · Answer 1 · 2026-03-26 06:21:34

761

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The density of square-free integers satisfying a congruence relation

Published on 26 Mar 2026 - 6:21

score 130 · Answer 2 · 2026-03-26 06:23:12

130

Views

A definition of the functional $f\to\sum_{n=1}^\infty\mu(n)f \left( \frac{1}{n} \right) $, involving good functions $f$ and the Möbius function

Published on 26 Mar 2026 - 6:23

score 240 · Answer 3 · 2026-03-28 20:51:58

240

Views

Are non-squares primitive roots?

Published on 28 Mar 2026 - 20:51

score 70 · Answer 4 · 2026-03-26 16:57:31

70

Views

Multivariate version of Weil's bound?

Published on 26 Mar 2026 - 16:57

score 184 · Answer 5 · 2026-03-25 12:49:44

184

Views

On the number of representations of a positive integer into the form $x=p+dq$, where $p$ and $q$ are primes and $d$ is a given positive integer

Published on 25 Mar 2026 - 12:49

score 804 · Answer 6 · 2026-04-02 09:58:59

804

Views

More elegant $\zeta(s)$ zeros counting function than $N(T)$

Published on 02 Apr 2026 - 9:58

score 152 · Answer 7 · 2026-04-01 04:38:47

152

Views

Motivations and applications for the functional equation of $\zeta$

Published on 01 Apr 2026 - 4:38

score 109 · Answer 8 · 2017-01-14 19:57:25

109

Views

Asymptoticness of partial sum of divisor function

Published on 14 Jan 2017 - 19:57

score 71 · Answer 9 · 2017-01-15 09:27:00

If set $A$ has asymptotic density $d_A$ and set $B$ has asymptotic density $d_B$, then does it follow that $d_{A \cap B} \leq {d_A}\cdot{d_B}$?

score 63 · Answer 10 · 2026-04-02 11:35:50

63

Views

On probability of coprime integers.

Published on 02 Apr 2026 - 11:35

score 1.3k · Answer 11 · 2017-01-15 19:48:59

1.3k

Views

Very large table of the Möbius function

Published on 15 Jan 2017 - 19:48

score 248 · Answer 12 · 2026-03-26 13:00:51

248

Views

On calculations concerning the exact formula for the Mertens function, and the identity that relates Möbius and Mertens functions

Published on 26 Mar 2026 - 13:00

score 235 · Answer 13 · 2026-04-02 11:39:07

235

Views

Is it known whether or not $\zeta(\sigma)\neq 0$ for $0<\sigma<1$?

Published on 02 Apr 2026 - 11:39

score 25 · Answer 14 · 2017-01-17 13:46:56

25

Views

Is there any arithmetical function $g$ satisfying the following conditions?

Published on 17 Jan 2017 - 13:46

score 239 · Answer 15 · 2017-01-17 15:40:40

239

Views

$\sin(k\mathbb{N})$ is dense in unit circle $\forall k \in \mathbb{N}$

Published on 17 Jan 2017 - 15:40

List Question

The density of square-free integers satisfying a congruence relation

A definition of the functional $f\to\sum_{n=1}^\infty\mu(n)f \left( \frac{1}{n} \right) $, involving good functions $f$ and the Möbius function

Are non-squares primitive roots?

Multivariate version of Weil's bound?

On the number of representations of a positive integer into the form $x=p+dq$, where $p$ and $q$ are primes and $d$ is a given positive integer

More elegant $\zeta(s)$ zeros counting function than $N(T)$

Motivations and applications for the functional equation of $\zeta$

Asymptoticness of partial sum of divisor function

If set $A$ has asymptotic density $d_A$ and set $B$ has asymptotic density $d_B$, then does it follow that $d_{A \cap B} \leq {d_A}\cdot{d_B}$?

On probability of coprime integers.

Very large table of the Möbius function

On calculations concerning the exact formula for the Mertens function, and the identity that relates Möbius and Mertens functions

Is it known whether or not $\zeta(\sigma)\neq 0$ for $0<\sigma<1$?

Is there any arithmetical function $g$ satisfying the following conditions?

$\sin(k\mathbb{N})$ is dense in unit circle $\forall k \in \mathbb{N}$

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