About: Fundamental lemma of sieve theory

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In number theory, the fundamental lemma of sieve theory is any of several results that systematize the process of applying sieve methods to particular problems. Halberstam & Richertwrite: A curious feature of sieve literature is that while there is frequent use of Brun's method there are only a few attempts to formulate a general Brun theorem (such as Theorem 2.1); as a result there are surprisingly many papers which repeat in considerable detail the steps of Brun's argument. Diamond & Halberstamattribute the terminology Fundamental Lemma to Jonas Kubilius.

Attributes	Values
rdf:type	yago:WikicatLemmas yago:WikicatTheoremsInNumberTheory yago:Abstraction100002137 yago:Communication100033020 yago:Lemma106751833 yago:Message106598915 yago:Proposition106750804 yago:WikicatFundamentalTheorems yago:Statement106722453 yago:Theorem106752293
rdfs:label	Lema fundamental de teoría de cribas (es) Fundamental lemma of sieve theory (en) Lema fundamental de teoria dos crivos (pt)
rdfs:comment	In number theory, the fundamental lemma of sieve theory is any of several results that systematize the process of applying sieve methods to particular problems. Halberstam & Richertwrite: A curious feature of sieve literature is that while there is frequent use of Brun's method there are only a few attempts to formulate a general Brun theorem (such as Theorem 2.1); as a result there are surprisingly many papers which repeat in considerable detail the steps of Brun's argument. Diamond & Halberstamattribute the terminology Fundamental Lemma to Jonas Kubilius. (en) En teoría de números, más específico en teoría de cribas, el lema fundamental de teoría de cribas es uno de varios resultados que sistematizan el proceso de aplicar métodos de cribado a problemas particulares. Halberstam y Richertaseguran: Un hecho curioso en la literatura de los métodos de cribado, es que si bien se usa frecuentemente el método de Brun, hay pocos intentos de formular un teorema general de Brun (tal como el teorema 2.1); como resultado, existen demasiados trabajos sorprendentes los cuales repiten en considerable detalle los pasos del argumento de Brun. (es) Em teoria dos números, especificamente em teoria dos crivos, o lema fundamental de teoria de crivos é um de vários resultados que sistematizam o processo de aplicar métodos de crivagem a problemas particulares. e asseguram: Un fato curioso npublicaa literatura dos métodos de crivagem, é que bem se usa frequentemente o Brun, tendo poucos intentos de formular um teorema geral de Brun (tal como o teorema 2.1); como resultado, existem demasiados trabalhos surpreendentes os quais repetem-se en considerável detalhe nos passos dos argumentos de Brun. (pt)
dcterms:subject	Theorems in analytic number theory Sieve theory
Wikipage page ID	18826584 (xsd:integer)
Wikipage revision ID	1102303723 (xsd:integer)
Link from a Wikipage to another Wikipage	Multiplicative function Jonas Kubilius John Friedlander Theorems in analytic number theory Number theory Hans-Egon Richert Heini Halberstam Henryk Iwaniec Sieve theory Inclusion–exclusion principle Brun sieve Sieve theory Residue class Weighted average
sameAs	Fundamental lemma of sieve theory Fundamental lemma of sieve theory Fundamental lemma of sieve theory Fundamental lemma of sieve theory Fundamental lemma of sieve theory Fundamental lemma of sieve theory
dbp:wikiPageUsesTemplate	dbt:Quote dbt:Reflist dbt:Rp
has abstract	In number theory, the fundamental lemma of sieve theory is any of several results that systematize the process of applying sieve methods to particular problems. Halberstam & Richertwrite: A curious feature of sieve literature is that while there is frequent use of Brun's method there are only a few attempts to formulate a general Brun theorem (such as Theorem 2.1); as a result there are surprisingly many papers which repeat in considerable detail the steps of Brun's argument. Diamond & Halberstamattribute the terminology Fundamental Lemma to Jonas Kubilius. (en) En teoría de números, más específico en teoría de cribas, el lema fundamental de teoría de cribas es uno de varios resultados que sistematizan el proceso de aplicar métodos de cribado a problemas particulares. Halberstam y Richertaseguran: Un hecho curioso en la literatura de los métodos de cribado, es que si bien se usa frecuentemente el método de Brun, hay pocos intentos de formular un teorema general de Brun (tal como el teorema 2.1); como resultado, existen demasiados trabajos sorprendentes los cuales repiten en considerable detalle los pasos del argumento de Brun. Diamond y Halberstamle atribuyeron la terminología Lema Fundamental a . (es) Em teoria dos números, especificamente em teoria dos crivos, o lema fundamental de teoria de crivos é um de vários resultados que sistematizam o processo de aplicar métodos de crivagem a problemas particulares. e asseguram: Un fato curioso npublicaa literatura dos métodos de crivagem, é que bem se usa frequentemente o Brun, tendo poucos intentos de formular um teorema geral de Brun (tal como o teorema 2.1); como resultado, existem demasiados trabalhos surpreendentes os quais repetem-se en considerável detalhe nos passos dos argumentos de Brun. Diamond e atribuíram a terminologia Lema Fundamental a . (pt)
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foaf:isPrimaryTopicOf	wikipedia-en:Fundamental_lemma_of_sieve_theory
is Link from a Wikipage to another Wikipage of	List of lemmas Brun sieve Sieve theory List of theorems called fundamental
is foaf:primaryTopic of	wikipedia-en:Fundamental_lemma_of_sieve_theory

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