operation on arithmetic functions

C41098
concept

An operation on arithmetic functions is a rule that combines one or more arithmetic functions (defined on the positive integers) to produce a new arithmetic function, such as via addition, multiplication, convolution, or composition.

All labels observed (1)

Label Occurrences
operation on arithmetic functions canonical 1

Description generation (CDg)

The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.

Instruction
generate a one-sentence description for a given conceptual class.
# Response Format
Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: operation on arithmetic functions
Generated description
An operation on arithmetic functions is a rule that combines one or more arithmetic functions (defined on the positive integers) to produce a new arithmetic function, such as via addition, multiplication, convolution, or composition.

Instances (1)

Instance Via concept surface
Dirichlet convolution