31:
175:, where he earned his bachelor's degree and, in 1981, a Ph.D. in mathematics. His doctoral advisor at Berkeley was Russell Sherman Lehman; his dissertation was entitled "Large Differences between Consecutive Prime Numbers".
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533:. This result was originally reported in 2003 by Goldston and Yıldırım but was later retracted. Then Pintz joined the team and they completed the proof with the
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Daniel Alan
Goldston was born on January 4, 1954, in Oakland, California. In 1972, he matriculated to the
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which are closer to each other than the average distance between consecutive primes by a factor of
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304:{\displaystyle \liminf _{n\to \infty }{\frac {p_{n+1}-p_{n}}{\log p_{n}}}=0}
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696:"Bounded gaps between primes | American Inst. Of Mathematics"
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and then spent the next academic year (1982–83) at the
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After earning his doctorate, Goldston worked at the
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Large differences between consecutive prime numbers
195:since 1983, save for stints at the IAS (1990), the
642:; Yıldırım, Cem Y. (2009). "Primes in tuples. I".
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159:. He is currently a professor of mathematics at
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526:{\displaystyle p_{n+1}-p_{n}<c\log p_{n}\ }
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780:University of California, Berkeley alumni
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201:Mathematical Sciences Research Institute
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191:(IAS) in Princeton. He has worked at
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612:"2014 Cole Prize in Number Theory"
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173:University of California, Berkeley
67:University of California, Berkeley
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736:2021 Class of Fellows of the AMS
739:, American Mathematical Society
617:. American Mathematical Society
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185:University of Minnesota Duluth
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589:James Maynard (mathematician)
344:. In other words, for every
189:Institute for Advanced Study
76:GPY theorem in number theory
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666:10.4007/annals.2009.170.819
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561:, for his contributions to
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545:In 2014, Goldston won the
151:(born January 4, 1954, in
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432:{\displaystyle p_{n+1}\ }
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366:{\displaystyle c>0\ }
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396:{\displaystyle p_{n}\ }
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333:{\displaystyle p_{n}}
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455:{\displaystyle c\ }
211:In 2009, Goldston,
153:Oakland, California
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646:. Second Series.
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650:(2): 819–862.
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640:Pintz, János
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619:. Retrieved
584:Yitang Zhang
555:Cem Yildirim
551:Yitang Zhang
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342:prime number
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217:Cem Yıldırım
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107:Institutions
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805:1954 births
559:János Pintz
541:Recognition
213:János Pintz
102:Mathematics
769:Categories
743:2020-11-02
720:2009-03-31
621:2020-11-02
595:References
547:Cole Prize
85:Cole Prize
44:1954-01-04
535:GPY sieve
508:
486:−
280:
262:−
238:∞
235:→
573:See also
462:, i.e.,
219:proved:
207:Research
682:1994756
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313:where
215:, and
179:Career
127:(1981)
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118:Thesis
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87:(2014)
81:Awards
678:S2CID
652:arXiv
615:(PDF)
557:and
499:<
403:and
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57:, US
38:Born
662:doi
648:170
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505:log
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296:=
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257:1
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42:(
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