About: Kummer's theorem

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In mathematics, Kummer's theorem is a formula for the exponent of the highest power of a prime number p that divides a given binomial coefficient. In other words, it gives the p-adic valuation of a binomial coefficient. The theorem is named after Ernst Kummer, who proved it in a paper,.

Attributes	Values
rdf:type	yago:WikicatTheoremsInNumberTheory yago:Abstraction100002137 yago:Communication100033020 yago:Message106598915 yago:Proposition106750804 yago:Statement106722453 yago:Theorem106752293
rdfs:label	Satz von Kummer (de) Kummer's theorem (en) Teorema di Kummer (it) 庫默爾定理 (zh)
rdfs:comment	In mathematics, Kummer's theorem is a formula for the exponent of the highest power of a prime number p that divides a given binomial coefficient. In other words, it gives the p-adic valuation of a binomial coefficient. The theorem is named after Ernst Kummer, who proved it in a paper,. (en) In matematica, il teorema di Kummer per coefficienti binomiali fornisce la valutazione p-adica di un coefficiente binomiale, ovvero l'esponente della maggiore potenza di un numero primo che divide questo coefficiente binomiale. Il teorema prende nome da Ernst Kummer, che lo dimostrò nel 1852. (it) 在數學裡，庫默爾定理能計算给出的二项式的系數的，即含p的幂次。本定理以恩斯特·庫默爾命名。 (zh)
dcterms:subject	Theorems in number theory
Wikipage page ID	33758554 (xsd:integer)
Wikipage revision ID	1028772767 (xsd:integer)
Link from a Wikipage to another Wikipage	Binomial coefficient P-adic valuation Theorems in number theory Mathematics Multinomial coefficient Ernst Kummer Legendre's formula Lucas's theorem Radix Prime number Integer Carry (arithmetic)
Link from a Wikipage to an external page	https://zenodo.org/record/1448864
sameAs	Kummer's theorem Kummer's theorem Kummer's theorem Kummer's theorem Kummer's theorem Kummer's theorem Kummer's theorem
dbp:wikiPageUsesTemplate	dbt:= dbt:Cite_journal dbt:Harv dbt:Math dbt:Reflist dbt:Short_description dbt:PlanetMath
title	Kummer's theorem (en)
urlname	KummersTheorem (en)
has abstract	In mathematics, Kummer's theorem is a formula for the exponent of the highest power of a prime number p that divides a given binomial coefficient. In other words, it gives the p-adic valuation of a binomial coefficient. The theorem is named after Ernst Kummer, who proved it in a paper,. (en) In matematica, il teorema di Kummer per coefficienti binomiali fornisce la valutazione p-adica di un coefficiente binomiale, ovvero l'esponente della maggiore potenza di un numero primo che divide questo coefficiente binomiale. Il teorema prende nome da Ernst Kummer, che lo dimostrò nel 1852. (it) 在數學裡，庫默爾定理能計算给出的二项式的系數的，即含p的幂次。本定理以恩斯特·庫默爾命名。 (zh)
prov:wasDerivedFrom	wikipedia-en:Kummer's_theorem?oldid=1028772767&ns=0
page length (characters) of wiki page	2690 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Kummer's_theorem
is Link from a Wikipage to another Wikipage of	Multinomial theorem Ernst Kummer Legendre's formula Lucas's theorem Sylow theorems Carry (arithmetic) Factorial
is foaf:primaryTopic of	wikipedia-en:Kummer's_theorem

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