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Cem Yalçın Yıldırım (born 8 July 1961) is a Turkish mathematician who specializes in number theory. He obtained his B.Sc from Middle East Technical University in Ankara, Turkey and his PhD from the University of Toronto in 1990. His advisor was John Friedlander. He is currently a faculty member at Boğaziçi University in Istanbul, Turkey. In 2005, with Dan Goldston and János Pintz, he proved, that for any positive number ε there exist primes p and p′ such that the difference between p and p′ is smaller than ε log p. Formally;

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  • شيم يلدرم (بالتركية: Cem Yalçın Yıldırım)‏ هو أستاذ جامعي ورياضياتي تركي، ولد في 8 يوليو 1961. (ar)
  • Ο Τζεμ Γιαλτσίν Γιλντιρίμ (Cem Yalçın Yıldırım, γενν. 8 Ιουλίου 1961) είναι Τούρκος μαθηματικός με ειδικότητα τη Θεωρία αριθμών. Γεννήθηκε στο της Ιντιάνα, στις ΗΠΑ, και μεγάλωσε στην Άγκυρα. Πήρε πτυχίο από το στην Άγκυρα και διδακτορικό από το Πανεπιστήμιο του Τορόντο το 1990, εκπονώντας τη διδακτορική διατριβή του υπό την επίβλεψη του . Σήμερα είναι καθηγητής στο στην Κωνσταντινούπολη. (el)
  • Cem Yalçın Yıldırım (* 8. Juli 1961) ist ein türkischer Mathematiker, der sich mit analytischer Zahlentheorie beschäftigt. Yildirim studierte an der Technischen Universität des Nahen Ostens (ODTÜ) in Ankara (Vordiplom 1982) und promovierte 1990 an der Universität Toronto bei John Friedlander (Zeta Function Theory: Pair Correlation And Value Distribution). Er war an der Bilkent-Universität in der Türkei und ist zurzeit Professor an der Boğaziçi Üniversitesi in Istanbul. Yildirim bewies mit Dan Goldston und János Pintz 2005 einen Satz über die Anzahl von Primzahlzwillingen mit (im Vergleich zum Mittelwert, der bei einer Primzahl p von der Größenordnung log p ist) kleinem Abstand voneinander (siehe Artikel Goldston). Der erste Beweis mit Goldston 2003 war fehlerhaft, konnte aber in Zusammenarbeit mit Pintz korrigiert werden. Den drei Mathematikern wurde 2014 gemeinsam der Colepreis für Zahlentheorie zugesprochen. 2014 war er mit Goldston und Pintz Eingeladener Sprecher auf dem ICM in Seoul (Small gaps between primes). (de)
  • Cem Yalçın Yıldırım (born 8 July 1961) is a Turkish mathematician who specializes in number theory. He obtained his B.Sc from Middle East Technical University in Ankara, Turkey and his PhD from the University of Toronto in 1990. His advisor was John Friedlander. He is currently a faculty member at Boğaziçi University in Istanbul, Turkey. In 2005, with Dan Goldston and János Pintz, he proved, that for any positive number ε there exist primes p and p′ such that the difference between p and p′ is smaller than ε log p. Formally; where pn denotes the nth prime number. In other words, for every c > 0, there exist infinitely many pairs of consecutive primes pn and pn+1 which are closer to each other than the average distance between consecutive primes by a factor of c, i.e., pn+1 − pn < c log pn. This result was originally reported in 2003 by Dan Goldston and Cem Yıldırım but was later retracted. Then Janos Pintz joined the team and they completed the proof in 2005. In fact, if they assume the Elliott–Halberstam conjecture, then they can also show that primes within 16 of each other occur infinitely often, which is related to the twin prime conjecture. (en)
  • Cem Yalçın Yıldırım (né le 8 juillet 1961) est un mathématicien turc spécialiste de théorie analytique des nombres. Il est professeur à l'université du Bosphore à Istanbul. (fr)
  • 젬 얄츤 이을드름(튀르키예어: Cem Yalçın Yıldırım)은 터키의 수학자이다. 토론토 대학교에서 의 지도 하에 박사 학위를 취득하였으며, 현재는 의 교수로 재직 중이다. 주 연구 분야는 정수론이다. (ko)
  • Cem Yalçın Yıldırım (8 luglio 1961) è un matematico turco. Yıldırım è conosciuto per i suoi contributi in teoria dei numeri, e principalmente per i suoi importanti lavori con Daniel Goldston e János Pintz su intervalli corti tra numeri primi consecutivi. In particolare, i tre hanno dimostrato che , dove è 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 è minore o uguale a 16. Nel 2013 Yitang Zhang, basandosi sull'innovativo approccio di Goldston, Pintz e Yıldırım (spesso chiamati GPY) ha dimostrato che ci sono infiniti numeri primi consecutivi la cui differenza è minore di 70 milioni, facendo dunque grossi progressi verso la soluzione della congettura dei primi gemelli. Per questo motivo nel 2014 Yıldırım è stato insignito, insieme a Zhang, Goldston e Pintz, del Premio Cole in teoria dei numeri. (it)
  • Cem Yalçın Yıldırım (8 de julho de 1961) é um matemático turco, que trabalha com teoria analítica dos números. Yildirim estudou na Universidade Técnica do Oriente Médio em Ancara, e obteve um doutorado em 1990 na Universidade de Toronto, orientado por John Friedlander, com a tese Zeta Function Theory: Pair Correlation And Value Distribution. Esteve na Universidade Bilkent na Turquia, sendo atualmente professor na Universidade do Bósforo em Istambul. Yildirim provou com Daniel Goldston e János Pintz em 2005 um teorema sobre o número de números primos gêmeos com (em comparação com o valor médio que para um número primo p é da ordem é grandeza log p) pequena distância um do outro (ver artigo de Goldston). A primeira prova com Goldston em 2003 continha erros, que foram corrigidos em trabalho conjunto com Pintz. Os três matemáticos receberam conjuntamente o Prêmio Cole de Teoria dos Números de 2014. Foi com Goldston e Pintz palestrante convidado do Congresso Internacional de Matemáticos em Seul (2014: Small gaps between primes). (pt)
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  • شيم يلدرم (بالتركية: Cem Yalçın Yıldırım)‏ هو أستاذ جامعي ورياضياتي تركي، ولد في 8 يوليو 1961. (ar)
  • Ο Τζεμ Γιαλτσίν Γιλντιρίμ (Cem Yalçın Yıldırım, γενν. 8 Ιουλίου 1961) είναι Τούρκος μαθηματικός με ειδικότητα τη Θεωρία αριθμών. Γεννήθηκε στο της Ιντιάνα, στις ΗΠΑ, και μεγάλωσε στην Άγκυρα. Πήρε πτυχίο από το στην Άγκυρα και διδακτορικό από το Πανεπιστήμιο του Τορόντο το 1990, εκπονώντας τη διδακτορική διατριβή του υπό την επίβλεψη του . Σήμερα είναι καθηγητής στο στην Κωνσταντινούπολη. (el)
  • Cem Yalçın Yıldırım (né le 8 juillet 1961) est un mathématicien turc spécialiste de théorie analytique des nombres. Il est professeur à l'université du Bosphore à Istanbul. (fr)
  • 젬 얄츤 이을드름(튀르키예어: Cem Yalçın Yıldırım)은 터키의 수학자이다. 토론토 대학교에서 의 지도 하에 박사 학위를 취득하였으며, 현재는 의 교수로 재직 중이다. 주 연구 분야는 정수론이다. (ko)
  • Cem Yalçın Yıldırım (born 8 July 1961) is a Turkish mathematician who specializes in number theory. He obtained his B.Sc from Middle East Technical University in Ankara, Turkey and his PhD from the University of Toronto in 1990. His advisor was John Friedlander. He is currently a faculty member at Boğaziçi University in Istanbul, Turkey. In 2005, with Dan Goldston and János Pintz, he proved, that for any positive number ε there exist primes p and p′ such that the difference between p and p′ is smaller than ε log p. Formally; (en)
  • Cem Yalçın Yıldırım (* 8. Juli 1961) ist ein türkischer Mathematiker, der sich mit analytischer Zahlentheorie beschäftigt. Yildirim studierte an der Technischen Universität des Nahen Ostens (ODTÜ) in Ankara (Vordiplom 1982) und promovierte 1990 an der Universität Toronto bei John Friedlander (Zeta Function Theory: Pair Correlation And Value Distribution). Er war an der Bilkent-Universität in der Türkei und ist zurzeit Professor an der Boğaziçi Üniversitesi in Istanbul. (de)
  • Cem Yalçın Yıldırım (8 luglio 1961) è un matematico turco. Yıldırım è conosciuto per i suoi contributi in teoria dei numeri, e principalmente per i suoi importanti lavori con Daniel Goldston e János Pintz su intervalli corti tra numeri primi consecutivi. In particolare, i tre hanno dimostrato che , (it)
  • Cem Yalçın Yıldırım (8 de julho de 1961) é um matemático turco, que trabalha com teoria analítica dos números. Yildirim estudou na Universidade Técnica do Oriente Médio em Ancara, e obteve um doutorado em 1990 na Universidade de Toronto, orientado por John Friedlander, com a tese Zeta Function Theory: Pair Correlation And Value Distribution. Esteve na Universidade Bilkent na Turquia, sendo atualmente professor na Universidade do Bósforo em Istambul. (pt)
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  • شيم يلدرم (ar)
  • Cem Yıldırım (de)
  • Τζεμ Γιλντιρίμ (el)
  • Cem Yıldırım (en)
  • Cem Yıldırım (it)
  • Cem Yıldırım (fr)
  • 젬 이을드름 (ko)
  • Cem Yıldırım (pt)
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