multiplicativeOnCoprimeArguments
P105607
predicate
Indicates that the function behaves multiplicatively when applied to arguments that are coprime, i.e., its value on a product of coprime inputs equals the product of its values on each input.
All labels observed (2)
| Label | Occurrences |
|---|---|
| multiplicativeOnCoprimeArguments canonical | 1 |
| preservesMultiplicativity | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: multiplicativeOnCoprimeArguments
Generated description
Indicates that the function behaves multiplicatively when applied to arguments that are coprime, i.e., its value on a product of coprime inputs equals the product of its values on each input.
Sample triples (2)
| Subject | Object |
|---|---|
| Jordan’s totient functions | yes ⓘ |
| Dirichlet convolution | convolution of multiplicative functions is multiplicative via predicate surface "preservesMultiplicativity" ⓘ |