arithmetical function
C24992
concept
An arithmetical function is a function defined on the positive integers that assigns to each integer a (usually complex or real) value, often encoding number-theoretic properties such as divisors, primes, or multiplicative structure.
Observed surface forms (7)
| Surface form | Occurrences |
|---|---|
| Chebyshev function | 2 |
| Fourier coefficient function | 1 |
| arithmetic object | 1 |
| completely multiplicative function | 1 |
| computable function | 1 |
| family of arithmetic functions | 1 |
| number-theoretic functions | 1 |
Instances (9)
| Instance | Via concept surface |
|---|---|
| Hasse–Weil zeta function | — |
| Ackermann function | computable function |
| Jordan’s totient functions | family of arithmetic functions |
|
Chebyshev functions
surface form:
Chebyshev function θ(x)
|
Chebyshev function |
| Ramanujan tau function | Fourier coefficient function |
| Ramanujan’s sum | — |
| Liouville function | completely multiplicative function |
| Frobenius element | arithmetic object |
|
Mertens
surface form:
Mertens function
|
— |