Cem Yıldırım

Turkish mathematician

Cem Yalçın Yıldırım (born 8 July 1961)^[1] is a Turkish mathematician who specializes in number theory.

Education

Yıldırım obtained his B.Sc from Middle East Technical University in Ankara, Turkey and his PhD from the University of Toronto in 1990.^[2] His advisor was John Friedlander. He is currently a faculty member at Boğaziçi University in Istanbul, Turkey.

Research

In 2009, Dan Goldston, János Pintz, and Yıldırım 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.^[3] This result was originally reported in 2003 by Goldston and Yıldırım but was later retracted.^[4][5] Then Janos Pintz joined the team and they completed the proof in 2005 and developed the so called GPY sieve.

See also

• Landau's problems

References

• "Cole Prize in Number Theory". American Mathematical Society. 26 November 2018. Retrieved 24 November 2022.

1. VIAF
2. "Cem Yalçın Yıldırım". Archived from the original on 2019-04-16. Retrieved 2013-10-26.
3. Goldston, Daniel A.; Pintz, János; Yıldırım, Cem Y. (2009). "Primes in tuples. I". Annals of Mathematics. Second Series. 170 (2): 819–862. arXiv:math/0508185. doi:10.4007/annals.2009.170.819. MR 2552109. S2CID 1994756.
4. "Bounded gaps between primes | American Inst. Of Mathematics".
5. "Residueerror". Archived from the original on 2009-02-20. Retrieved 2009-03-31.

External links

• Cem Yıldırım at the Mathematics Genealogy Project