List questions from arithmetic-functions

Published on 19 Jun 2016 - 12:20

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Sum over square divisors is multiplicative proof verification

Published on 23 Jun 2016 - 21:48

251

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The arithmetic function $\lambda(n)=(-1)^{a_1+\cdots +a_k}$

Published on 26 Jun 2016 - 10:09

76

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On relationships between the general terms of sequences from different equivalences to the Riemann Hypothesis

Published on 01 Jul 2016 - 7:45

3.2k

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Infinitely many positive integers $n$ such that $\phi(n) = \frac{n}{4}$?

Published on 08 Apr 2013 - 23:46

116

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how to prove $f$ is an arithmetic function with this property $\sum_{d\mid n} f(d)=n^2$

Published on 11 May 2013 - 14:17

161

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Does the Fourier matrix $F_n$ represent a (tensor) multiplicative function?

Published on 04 Jun 2013 - 20:54

534

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Proving that $\omega(N)\neq4$ for an odd perfect number $N$ by hand

Published on 07 Jun 2013 - 21:28

330

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Are there any integer solutions to $\gcd(\sigma(n), \sigma(n^2)) = 1$ other than for prime $n$?

Published on 12 Jun 2013 - 17:13

157

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Smallest prime p with N a quadratic residue mod p

Published on 15 Jun 2013 - 15:19

889

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Question - Möbius inversion formula

Published on 25 Mar 2026 - 19:25

246

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Order of a function related to divisors

Published on 17 Jun 2013 - 14:51

270

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Estimating $\sum_{p_2 \leq x} (\log p_2)^2$

Published on 28 Jun 2013 - 15:34

205

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Limiting value of $\lim \frac{1}{k}\sum_{n=1}^k \frac{p(n+1)-p(n)}{\log p(n)}$

Published on 11 Jul 2013 - 15:26

1.2k

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Littlewood's 1914 proof relating to Skewes' number

Published on 23 Jul 2013 - 2:19

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Question about multiplicative arithmetic functions

Sum over square divisors is multiplicative proof verification

The arithmetic function $\lambda(n)=(-1)^{a_1+\cdots +a_k}$

On relationships between the general terms of sequences from different equivalences to the Riemann Hypothesis

Infinitely many positive integers $n$ such that $\phi(n) = \frac{n}{4}$?

how to prove $f$ is an arithmetic function with this property $\sum_{d\mid n} f(d)=n^2$

Does the Fourier matrix $F_n$ represent a (tensor) multiplicative function?

Proving that $\omega(N)\neq4$ for an odd perfect number $N$ by hand

Are there any integer solutions to $\gcd(\sigma(n), \sigma(n^2)) = 1$ other than for prime $n$?

Smallest prime p with N a quadratic residue mod p

Question - Möbius inversion formula

Order of a function related to divisors

Estimating $\sum_{p_2 \leq x} (\log p_2)^2$

Limiting value of $\lim \frac{1}{k}\sum_{n=1}^k \frac{p(n+1)-p(n)}{\log p(n)}$

Littlewood's 1914 proof relating to Skewes' number

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