Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
binomial coefficients
prime numbers |
| gptkbp:describes |
p-adic valuation of binomial coefficients
|
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kummer's theorem
|
| gptkbp:namedAfter |
gptkb:Ernst_Eduard_Kummer
|
| gptkbp:publicationYear |
1852
|
| gptkbp:publishedIn |
gptkb:Journal_für_die_reine_und_angewandte_Mathematik
|
| gptkbp:state |
the exponent of a prime p in the factorization of binomial coefficient C(n, m) equals the number of carries when m and n-m are added in base p
|
| gptkbp:usedIn |
gptkb:algebra
combinatorics |
| gptkbp:bfsParent |
gptkb:Ernst_Eduard_Kummer
|
| gptkbp:bfsLayer |
5
|