nontrivialZerosRegion
P37887
predicate
Indicates that the nontrivial zeros of a function (typically the Riemann zeta function) lie within a specified region of the complex plane.
All labels observed (4)
| Label | Occurrences |
|---|---|
| nontrivialZerosRegion canonical | 2 |
| nontrivialZeroDefinition | 1 |
| nontrivialZerosLieOn | 1 |
| zerosConjecturallyLieOn | 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: nontrivialZerosRegion
Generated description
Indicates that the nontrivial zeros of a function (typically the Riemann zeta function) lie within a specified region of the complex plane.
Sample triples (5)
| Subject | Object |
|---|---|
| Riemann zeta function | 0 < Re(s) < 1 ⓘ |
| generalized Riemann hypothesis | critical line Re(s) = 1/2 via predicate surface "nontrivialZerosLieOn" ⓘ |
| Dirichlet L-functions | critical strip 0<Re(s)<1 ⓘ |
|
L-functions
surface form:
L-function
|
critical line Re(s)=1/2 via predicate surface "zerosConjecturallyLieOn" ⓘ |
| grand Riemann hypothesis | zeros in the critical strip excluding trivial zeros from functional equations via predicate surface "nontrivialZeroDefinition" ⓘ |