List questions from arithmetic-functions

Published on 12 Sep 2014 - 16:51

409

Views

How to show that $\prod_{d/n} d = n^{\frac{\tau(n)}{2}}$

Published on 25 Mar 2026 - 9:28

125

Views

Is there a way to show that $d(n)$, which counts the number of divisors of $n$ is non-increasing?

Published on 25 Mar 2026 - 9:30

127

Views

Are there particular techniques to find the general formula for an arithmetic function, neither multiplicative nor additive?

Published on 21 Sep 2014 - 23:55

4.6k

Views

Proving $\phi(m)|\phi(n)$ whenever $m|n$

Published on 27 Sep 2014 - 9:50

132

Views

Show that $\sum_{i=1}^{n}(i-1,n)[(i,n)=1] = \phi(n) \sigma_0(n)$

Published on 03 Oct 2014 - 16:24

165

Views

About the 'sigma' function.

Published on 25 Mar 2026 - 14:18

87

Views

gcd of product of exponents of prime factors and product of prime factors

Published on 15 Oct 2014 - 19:40

65

Views

What is the inverse of $f(x)=x^{x^x}$?

Published on 19 Oct 2014 - 5:57

205

Views

Prime Factorization and Number Theory

Published on 24 Oct 2014 - 7:40

155

Views

How many numbers are products of $p^p$?

Published on 28 Oct 2014 - 19:47

422

Views

Where did the sum-of-divisors function come from?

Published on 28 Oct 2014 - 20:34

107

Views

Number of triples $(a, b, c)$ with $1 \leq a,b,c \leq n$ which are coprime ($gcd(a,b,c)=1$)

Published on 10 Nov 2014 - 12:45

388

Views

Inequality $\varphi(N)>\pi(N)$?

Published on 13 Nov 2014 - 11:18

2.5k

Views

Prove there are k consecutive non-squarefree integers

Published on 20 Nov 2014 - 20:32

List Question

sum over primes involving divisor function (variation of the Titchmarsh divisor problem)

How to show that $\prod_{d/n} d = n^{\frac{\tau(n)}{2}}$

Is there a way to show that $d(n)$, which counts the number of divisors of $n$ is non-increasing?

Are there particular techniques to find the general formula for an arithmetic function, neither multiplicative nor additive?

Proving $\phi(m)|\phi(n)$ whenever $m|n$

Show that $\sum_{i=1}^{n}(i-1,n)[(i,n)=1] = \phi(n) \sigma_0(n)$

About the 'sigma' function.

gcd of product of exponents of prime factors and product of prime factors

What is the inverse of $f(x)=x^{x^x}$?

Prime Factorization and Number Theory

How many numbers are products of $p^p$?

Where did the sum-of-divisors function come from?

Number of triples $(a, b, c)$ with $1 \leq a,b,c \leq n$ which are coprime ($gcd(a,b,c)=1$)

Inequality $\varphi(N)>\pi(N)$?

Prove there are k consecutive non-squarefree integers

Trending Questions

Popular # Hahtags

Popular Questions