42:
186:, 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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544:. 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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315:{\displaystyle \liminf _{n\to \infty }{\frac {p_{n+1}-p_{n}}{\log p_{n}}}=0}
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707:"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
206:since 1983, save for stints at the IAS (1990), the
653:; Yıldırım, Cem Y. (2009). "Primes in tuples. I".
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166:) is an American mathematician who specializes in
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170:. He is currently a professor of mathematics at
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537:{\displaystyle p_{n+1}-p_{n}<c\log p_{n}\ }
826:Fellows of the American Mathematical Society
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791:University of California, Berkeley alumni
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212:Mathematical Sciences Research Institute
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202:(IAS) in Princeton. He has worked at
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801:20th-century American mathematicians
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623:"2014 Cole Prize in Number Theory"
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184:University of California, Berkeley
78:University of California, Berkeley
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796:San Jose State University faculty
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747:2021 Class of Fellows of the AMS
750:, American Mathematical Society
628:. American Mathematical Society
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196:University of Minnesota Duluth
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600:James Maynard (mathematician)
355:. In other words, for every
200:Institute for Advanced Study
87:GPY theorem in number theory
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677:10.4007/annals.2009.170.819
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572:, for his contributions to
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556:In 2014, Goldston won the
162:(born January 4, 1954, in
811:American number theorists
443:{\displaystyle p_{n+1}\ }
204:San Jose State University
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377:{\displaystyle c>0\ }
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407:{\displaystyle p_{n}\ }
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344:{\displaystyle p_{n}}
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466:{\displaystyle c\ }
222:In 2009, Goldston,
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66:Oakland, California
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657:. Second Series.
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104:Scientific career
16:(Redirected from
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723:. Archived from
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34:Daniel Goldston
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765:External links
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721:"Residueerror"
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661:(2): 819–862.
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729:. Retrieved
725:the original
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668:math/0508185
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651:Pintz, János
641:
630:. Retrieved
595:Yitang Zhang
566:Cem Yildirim
562:Yitang Zhang
555:
353:prime number
323:
228:Cem Yıldırım
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118:Institutions
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18:Dan Goldston
816:1954 births
570:János Pintz
552:Recognition
224:János Pintz
113:Mathematics
780:Categories
754:2020-11-02
731:2009-03-31
632:2020-11-02
606:References
558:Cole Prize
96:Cole Prize
55:1954-01-04
546:GPY sieve
519:
497:−
291:
273:−
249:∞
246:→
584:See also
473:, i.e.,
230:proved:
218:Research
693:1994756
685:2552109
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324:where
226:, and
190:Career
138:(1981)
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129:Thesis
110:Fields
98:(2014)
92:Awards
689:S2CID
663:arXiv
626:(PDF)
568:and
510:<
414:and
366:>
68:, US
49:Born
673:doi
659:170
580:".
516:log
288:log
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681:MR
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614:^
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307:=
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268:1
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262:n
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243:n
53:(
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
