Question

Permutation of natural numbers relative to the Mobius Function

score 58 · Answer 1 · 2026-03-26 17:47:42

58

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Permutation of natural numbers relative to the Mobius Function

Published on 26 Mar 2026 - 17:47

score 496 · Answer 2 · 2026-04-13 11:50:23

496

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Is every number a sum of $3$ tetrahedral numbers?

Published on 13 Apr 2026 - 11:50

score 66 · Answer 3 · 2026-04-18 04:29:36

66

Views

$\lim_{n\to \infty} \dfrac {p_n...p_{n+k}}{p^k_{n+k+1}} $ , for fixed $k\in \mathbb N$ , where $p_n$ is the $n$-th prime

Published on 18 Apr 2026 - 4:29

score 80 · Answer 4 · 2026-03-28 03:27:43

80

Views

Upper and lower density of the set of natural numbers whose sum of positive divisors is a perfect square

Published on 28 Mar 2026 - 3:27

score 78 · Answer 5 · 2026-03-26 17:43:20

78

Views

zeros of a complex function defined by integers

Published on 26 Mar 2026 - 17:43

score 112 · Answer 6 · 2026-04-15 10:56:19

112

Views

On puzzles about $\pi$erfect numbers: has $\sigma(\pi(n))=\pi(2n)$ infinitely many solutions?

Published on 15 Apr 2026 - 10:56

score 857 · Answer 7 · 2026-04-11 13:16:44

857

Views

Example of a power of 3 which is close to a power of 2 (Related to music theory and Superparticular ratios)

Published on 11 Apr 2026 - 13:16

score 60 · Answer 8 · 2026-04-11 06:51:36

60

Views

How can one (reasonably) interpret this equality between the divergent $\zeta(1)$ and a division by $0$?

Published on 11 Apr 2026 - 6:51

score 321 · Answer 9 · 2026-04-17 11:40:16

321

Views

A simple question about density in the interval $[0.1,1)$

Published on 17 Apr 2026 - 11:40

score 60 · Answer 10 · 2026-04-16 05:33:39

60

Views

The image set of the operator $\sum_{n=2}^\infty a_n\frac{\Gamma(n)}{n^{n-1}}$, for sequences with $a_1=0$ and $a_n\in\{-1,0,1\},\forall n\geq 2$

Published on 16 Apr 2026 - 5:33

score 121 · Answer 11 · 2026-03-27 07:49:26

121

Views

On a variation of a problem posted by The Lviv Scottish Book in MathOverflow, using the Möbius function

Published on 27 Mar 2026 - 7:49

score 203 · Answer 12 · 2026-03-28 19:39:48

203

Views

Prove easy example of $p$-adic Liouville number: $\sum_{i\geq0}p^{i!}$

Published on 28 Mar 2026 - 19:39

score 40 · Answer 13 · 2026-04-13 18:20:39

40

Views

Calculating the moments of the N^th prime count

Published on 13 Apr 2026 - 18:20

score 113 · Answer 14 · 2026-03-27 07:50:38

113

Views

Convergence of $\sum_{n=1}^\infty z^{\sum_{k=1}^n\frac{\mu(k)}{k}}$, where $\mu(n)$ is the Möbius function

Published on 27 Mar 2026 - 7:50

score 46 · Answer 15 · 2026-03-28 03:28:56

46

Views

Compare $\sum_{k=1}^n k^{\operatorname{rad}\left(\lfloor\frac{n}{k}\rfloor\right)}$ and $\sum_{k\mid n}k^{\operatorname{rad}\left(\frac{n}{k}\right)}$

Published on 28 Mar 2026 - 3:28

List Question

Permutation of natural numbers relative to the Mobius Function

Is every number a sum of $3$ tetrahedral numbers?

$\lim_{n\to \infty} \dfrac {p_n...p_{n+k}}{p^k_{n+k+1}} $ , for fixed $k\in \mathbb N$ , where $p_n$ is the $n$-th prime

Upper and lower density of the set of natural numbers whose sum of positive divisors is a perfect square

zeros of a complex function defined by integers

On puzzles about $\pi$erfect numbers: has $\sigma(\pi(n))=\pi(2n)$ infinitely many solutions?

Example of a power of 3 which is close to a power of 2 (Related to music theory and Superparticular ratios)

How can one (reasonably) interpret this equality between the divergent $\zeta(1)$ and a division by $0$?

A simple question about density in the interval $[0.1,1)$

The image set of the operator $\sum_{n=2}^\infty a_n\frac{\Gamma(n)}{n^{n-1}}$, for sequences with $a_1=0$ and $a_n\in\{-1,0,1\},\forall n\geq 2$

On a variation of a problem posted by The Lviv Scottish Book in MathOverflow, using the Möbius function

Prove easy example of $p$-adic Liouville number: $\sum_{i\geq0}p^{i!}$

Calculating the moments of the N^th prime count

Convergence of $\sum_{n=1}^\infty z^{\sum_{k=1}^n\frac{\mu(k)}{k}}$, where $\mu(n)$ is the Möbius function

Compare $\sum_{k=1}^n k^{\operatorname{rad}\left(\lfloor\frac{n}{k}\rfloor\right)}$ and $\sum_{k\mid n}k^{\operatorname{rad}\left(\frac{n}{k}\right)}$

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