List questions from arithmetic-functions

Published on 11 Apr 2026 - 20:27

767

Views

$\sum_{d|n, d>0} (\sigma(d)/d)\mu(n/d))=1/n$

Published on 17 Apr 2026 - 3:03

157

Views

On the proof that $\phi(n)/n$ has a limit law

Published on 16 Apr 2026 - 12:52

229

Views

Determine a property of $S_b(n)$, which is the sum of the digits of $n$ when $n$ is expressed in base $b$

Published on 14 Apr 2026 - 20:32

88

Views

Simplifying expression Mobius Function

Published on 11 Apr 2026 - 2:02

232

Views

Which root lattices have a theta series with this property?

Published on 11 Apr 2026 - 18:05

151

Views

Does this conjecture imply the prime number theorem?

Published on 17 Apr 2026 - 7:44

168

Views

How many numbers with no common divisor are there?

Published on 12 Apr 2026 - 3:53

70

Views

Probability that two integers have the very same amount of prime factors

Published on 14 Apr 2026 - 2:18

94

Views

Can any Power function (whose base is not zero) , e.g. $2^{n}$, be defined arithmetically (i.e. using addition and multiplication only)?

Published on 16 Apr 2026 - 8:40

192

Views

Quadratic Gauss Sum with Jacobi Symbol of even nonsquare free Modulus

Published on 05 May 2026 - 7:13

103

Views

prove the formula where $n=\prod_{i=1}^k p_{i}^{\alpha_i}$

Published on 15 Apr 2026 - 16:37

37

Views

Closed-form for $F(n) = \sum_{d|n} \omega_x(d) $

Published on 25 Mar 2026 - 9:26

82

Views

How often is $N/(2N-\sigma(N))$ a palindrome (in base-$10$) if $N$ is deficient-perfect?

Published on 12 Apr 2026 - 19:55

82

Views

Are there (restricted) instances when the deficiency and sum-of-proper-divisors functions are multiplicative?

Published on 25 Mar 2026 - 11:07

List Question

Another sum involving totient function or gcd

$\sum_{d|n, d>0} (\sigma(d)/d)\mu(n/d))=1/n$

On the proof that $\phi(n)/n$ has a limit law

Determine a property of $S_b(n)$, which is the sum of the digits of $n$ when $n$ is expressed in base $b$

Simplifying expression Mobius Function

Which root lattices have a theta series with this property?

Does this conjecture imply the prime number theorem?

How many numbers with no common divisor are there?

Probability that two integers have the very same amount of prime factors

Can any Power function (whose base is not zero) , e.g. $2^{n}$, be defined arithmetically (i.e. using addition and multiplication only)?

Quadratic Gauss Sum with Jacobi Symbol of even nonsquare free Modulus

prove the formula where $n=\prod_{i=1}^k p_{i}^{\alpha_i}$

Closed-form for $F(n) = \sum_{d|n} \omega_x(d) $

How often is $N/(2N-\sigma(N))$ a palindrome (in base-$10$) if $N$ is deficient-perfect?

Are there (restricted) instances when the deficiency and sum-of-proper-divisors functions are multiplicative?

Trending Questions

Popular # Hahtags

Popular Questions