Question

Motivation for the Derivative of an Arithmetic Function

score 288 · Answer 1 · 2021-08-30 18:22:53

288

Views

Motivation for the Derivative of an Arithmetic Function

Published on 30 Aug 2021 - 18:22

score 119 · Answer 2 · 2026-03-27 16:17:30

119

Views

On the inequality $I(n^2) \geq (6 - s(q^k))/3$, where $q^k n^2$ is an odd perfect number and $I(x)$ is the abundancy index of $x$

Published on 27 Mar 2026 - 16:17

score 192 · Answer 3 · 2021-09-13 14:46:32

192

Views

Interchange Summation Indexes - Möbius Inversion Formula

Published on 13 Sep 2021 - 14:46

score 106 · Answer 4 · 2021-09-15 05:35:16

106

Views

Evaluating von-Mangoldt sum of the form $\sum_{1\leq x\leq m} \sum_{1\leq y\leq n}\Lambda(x)\Lambda(y)$, for $m\neq n$

Published on 15 Sep 2021 - 5:35

score 123 · Answer 5 · 2026-03-26 11:07:05

123

Views

Find the values of $f(2)$ for which $f$ cannot be a strictly increasing and completely multiplicative function

Published on 26 Mar 2026 - 11:07

score 156 · Answer 6 · 2021-09-28 07:45:41

156

Views

Are there infinitely many primes $q$, such that $\sigma(p^k) = 2q$, where $p$ is prime and $p \equiv k \equiv 1 \pmod 4$?

Published on 28 Sep 2021 - 7:45

score 78 · Answer 7 · 2026-03-27 17:53:02

78

Views

Will it be possible to compute a factored expression for $n^2 - q^k$, if $q^k n^2$ is an odd perfect number with special prime $q$?

Published on 27 Mar 2026 - 17:53

score 96 · Answer 8 · 2026-03-27 17:52:59

96

Views

On improving the upper bound $I(m^2) \leq \frac{2p}{p+1}$, if $p^k m^2$ is an odd perfect number with special prime $p$

Published on 27 Mar 2026 - 17:52

score 178 · Answer 9 · 2026-03-27 17:52:59

178

Views

On odd perfect numbers $q^k n^2$ and the deficient-perfect divisor $q^{\frac{k-1}{2}} n^2$ - Part III

Published on 27 Mar 2026 - 17:52

score 224 · Answer 10 · 2026-03-27 16:27:05

224

Views

Prove $\sum_{d | n} \mu(d) (\log(d))^2=0$

Published on 27 Mar 2026 - 16:27

score 524 · Answer 11 · 2026-02-23 09:06:24

524

Views

Polynomials whose fractional part behaves like a logarithm

Published on 23 Feb 2026 - 9:06

score 124 · Answer 12 · 2021-10-25 02:55:42

124

Views

How to prove this upper bound of generalized Mangoldt function?

Published on 25 Oct 2021 - 2:55

score 72 · Answer 13 · 2021-11-10 13:06:59

72

Views

Asymptotic notation and big-O notation.

Published on 10 Nov 2021 - 13:06

score 88 · Answer 14 · 2026-03-26 02:53:59

88

Views

Dirichlet inverse for $\left\{1,0,-1,0,1,0,-1,0,1,0,-1,0,\ldots\right\}$

Published on 26 Mar 2026 - 2:53

score 76 · Answer 15 · 2021-11-23 11:23:47

76

Views

Set of Integers with a Given Abundancy Index

Published on 23 Nov 2021 - 11:23

List Question

Motivation for the Derivative of an Arithmetic Function

On the inequality $I(n^2) \geq (6 - s(q^k))/3$, where $q^k n^2$ is an odd perfect number and $I(x)$ is the abundancy index of $x$

Interchange Summation Indexes - Möbius Inversion Formula

Evaluating von-Mangoldt sum of the form $\sum_{1\leq x\leq m} \sum_{1\leq y\leq n}\Lambda(x)\Lambda(y)$, for $m\neq n$

Find the values of $f(2)$ for which $f$ cannot be a strictly increasing and completely multiplicative function

Are there infinitely many primes $q$, such that $\sigma(p^k) = 2q$, where $p$ is prime and $p \equiv k \equiv 1 \pmod 4$?

Will it be possible to compute a factored expression for $n^2 - q^k$, if $q^k n^2$ is an odd perfect number with special prime $q$?

On improving the upper bound $I(m^2) \leq \frac{2p}{p+1}$, if $p^k m^2$ is an odd perfect number with special prime $p$

On odd perfect numbers $q^k n^2$ and the deficient-perfect divisor $q^{\frac{k-1}{2}} n^2$ - Part III

Prove $\sum_{d | n} \mu(d) (\log(d))^2=0$

Polynomials whose fractional part behaves like a logarithm

How to prove this upper bound of generalized Mangoldt function?

Asymptotic notation and big-O notation.

Dirichlet inverse for $\left\{1,0,-1,0,1,0,-1,0,1,0,-1,0,\ldots\right\}$

Set of Integers with a Given Abundancy Index

Trending Questions

Popular # Hahtags

Popular Questions