Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
|
| gptkbp:coefficients |
integers
|
| gptkbp:definedIn |
minimal polynomial over the rationals of a primitive nth root of unity
|
| gptkbp:degree |
gptkb:Euler's_totient_function_φ(n)
|
| gptkbp:field |
gptkb:algebra
gptkb:mathematics number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
cyclotomic polynomial
|
| gptkbp:introduced |
gptkb:Gauss
|
| gptkbp:irreducible_over |
rational numbers
|
| gptkbp:notation |
Φ_n(x)
|
| gptkbp:property |
irreducible polynomial
monic polynomial |
| gptkbp:relatedTo |
gptkb:Euler's_totient_function
gptkb:cyclotomic_field roots of unity |
| gptkbp:roots |
primitive nth roots of unity
|
| gptkbp:used_in |
gptkb:Galois_theory
algebraic number theory finite fields constructible polygons |
| gptkbp:bfsParent |
gptkb:cyclotomic_field
|
| gptkbp:bfsLayer |
6
|