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rdfs:comment "Daniel Alan Goldston, n\u00E9 le 4 janvier 1954 \u00E0 Oakland (Californie), est un math\u00E9maticien am\u00E9ricain sp\u00E9cialiste de th\u00E9orie analytique des nombres. Il est professeur \u00E0 l'universit\u00E9 d'\u00C9tat de San Jos\u00E9. Goldston a obtenu son Ph. D. de l'universit\u00E9 de Californie \u00E0 Berkeley, sous la direction de R. Sherman Lehman. Son nombre d'Erd\u0151s est 2. Daniel Goldston est surtout connu pour le r\u00E9sultat suivant, qu'il a d\u00E9montr\u00E9 en 2005 avec J\u00E1nos Pintz et Cem Y\u0131ld\u0131r\u0131m : Goldston et Y\u0131ld\u0131r\u0131m avaient annonc\u00E9 ce r\u00E9sultat en 2003 puis s'\u00E9taient r\u00E9tract\u00E9s. Pintz rejoignit l'\u00E9quipe et ils achev\u00E8rent la preuve en 2005."@fr ,
"Daniel Alan Goldston (Oakland, 4 gennaio 1954) \u00E8 un matematico statunitense. Goldston \u00E8 conosciuto per i suoi contributi in teoria dei numeri, e principalmente per i suoi importanti lavori con J\u00E1nos Pintz e Cem Y\u0131ld\u0131r\u0131m su intervalli corti tra numeri primi consecutivi. In particolare, i tre hanno dimostrato che ,"@it ,
"Daniel Alan Goldston (born January 4, 1954 in Oakland, California) is an American mathematician who specializes in number theory. He is currently a professor of mathematics at San Jose State University."@en ,
"Daniel Alan Goldston (Oakland, Calif\u00F3rnia, 4 de janeiro de 1954) \u00E9 um matem\u00E1tico estadunidense. Especialista em teoria dos n\u00FAmeros, \u00E9 atualmente Professor de Matem\u00E1tica da Universidade Estadual de San Jos\u00E9. Goldston \u00E9 mais conhecido pelo resultado a seguir, que ele obteve em trabalho colaborativo com J\u00E1nos Pintz e Cem Y\u0131ld\u0131r\u0131m, provado em 2005: onde denota o n-\u00E9simo n\u00FAmero primo. Em outras palavras, para todo , existem infinitos pares de primos consecutivos e que est\u00E3o mais pr\u00F3ximos a outro que a dist\u00E2ncia m\u00E9dia entre primos consecutivos por um fator de , i.e., ."@pt ,
"Daniel Alan \u201EDan\u201C Goldston (* 4. Januar 1954 in Oakland, Kalifornien) ist ein US-amerikanischer Mathematiker, der sich mit analytischer Zahlentheorie besch\u00E4ftigt."@de ;
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dbo:abstract "Daniel Alan Goldston (Oakland, Calif\u00F3rnia, 4 de janeiro de 1954) \u00E9 um matem\u00E1tico estadunidense. Especialista em teoria dos n\u00FAmeros, \u00E9 atualmente Professor de Matem\u00E1tica da Universidade Estadual de San Jos\u00E9. Goldston \u00E9 mais conhecido pelo resultado a seguir, que ele obteve em trabalho colaborativo com J\u00E1nos Pintz e Cem Y\u0131ld\u0131r\u0131m, provado em 2005: onde denota o n-\u00E9simo n\u00FAmero primo. Em outras palavras, para todo , existem infinitos pares de primos consecutivos e que est\u00E3o mais pr\u00F3ximos a outro que a dist\u00E2ncia m\u00E9dia entre primos consecutivos por um fator de , i.e., . Este resultado foi originalmente reportado em 2003 por Dan Goldston e Cem Y\u0131ld\u0131r\u0131m, mas foi depois rejeitado. Enta\u00F5 Janos Pintz associou-se aos dois, e assim o trio completou a prova em 2005."@pt ,
"Daniel Alan \u201EDan\u201C Goldston (* 4. Januar 1954 in Oakland, Kalifornien) ist ein US-amerikanischer Mathematiker, der sich mit analytischer Zahlentheorie besch\u00E4ftigt."@de ,
"Daniel Alan Goldston (born January 4, 1954 in Oakland, California) is an American mathematician who specializes in number theory. He is currently a professor of mathematics at San Jose State University."@en ,
"Daniel Alan Goldston, n\u00E9 le 4 janvier 1954 \u00E0 Oakland (Californie), est un math\u00E9maticien am\u00E9ricain sp\u00E9cialiste de th\u00E9orie analytique des nombres. Il est professeur \u00E0 l'universit\u00E9 d'\u00C9tat de San Jos\u00E9. Goldston a obtenu son Ph. D. de l'universit\u00E9 de Californie \u00E0 Berkeley, sous la direction de R. Sherman Lehman. Son nombre d'Erd\u0151s est 2. Daniel Goldston est surtout connu pour le r\u00E9sultat suivant, qu'il a d\u00E9montr\u00E9 en 2005 avec J\u00E1nos Pintz et Cem Y\u0131ld\u0131r\u0131m : o\u00F9 pn d\u00E9signe le ne nombre premier. Autrement dit, pour tout r\u00E9el c > 0, il existe une infinit\u00E9 de couples de nombres premiers cons\u00E9cutifs pn et pn+1 dont la distance est inf\u00E9rieure au produit par c de la distance moyenne, dans cette zone, entre deux nombres premiers cons\u00E9cutifs, c'est-\u00E0-dire tels que pn+1 \u2013 pn < c log pn. Goldston et Y\u0131ld\u0131r\u0131m avaient annonc\u00E9 ce r\u00E9sultat en 2003 puis s'\u00E9taient r\u00E9tract\u00E9s. Pintz rejoignit l'\u00E9quipe et ils achev\u00E8rent la preuve en 2005. En fait, en supposant vraie la conjecture d'Elliott-Halberstam, ils montr\u00E8rent aussi qu'il y a une infinit\u00E9 de couples de nombres premiers cons\u00E9cutifs \u00E0 distance au plus 16 l'un de l'autre, ce qui est un progr\u00E8s vers la conjecture des nombres premiers jumeaux."@fr ,
"Daniel Alan Goldston (Oakland, 4 gennaio 1954) \u00E8 un matematico statunitense. Goldston \u00E8 conosciuto per i suoi contributi in teoria dei numeri, e principalmente per i suoi importanti lavori con J\u00E1nos Pintz e Cem Y\u0131ld\u0131r\u0131m su intervalli corti tra numeri primi consecutivi. In particolare, i tre hanno dimostrato che , dove \u00E8 l'n-esimo numero primo e indica il limite inferiore. Successivamente hanno migliorato tale risultato provando che il limite resta zero anche sostituendo con e che, se si assumesse la congettura di Elliott-Halberstam, vi sarebbero infinite coppie di primi la cui differenza \u00E8 minore o uguale a 16. Nel 2013 Yitang Zhang, basandosi sull'innovativo approccio di Goldston, Pintz e Y\u0131ld\u0131r\u0131m (spesso chiamati GPY) ha dimostrato che ci sono infiniti numeri primi consecutivi la cui differenza \u00E8 minore di 70 milioni, facendo dunque grossi progressi verso la soluzione della congettura dei primi gemelli. Per questo motivo nel 2014 Goldston \u00E8 stato insignito, insieme a Zhang, Pintz e Y\u0131ld\u0131r\u0131m, del Premio Cole in teoria dei numeri."@it ;
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