| 词条 | John Friedlander |
| 释义 |
|name = John Benjamin Friedlander |image = John_Friedlander_at_Oberwolfach_2008.jpg |image_size = 200 px |caption = John Friedlander in 2008 |birth_date = |birth_place = |death_date = |death_place = |residence = |citizenship = Canadian |nationality = |ethnicity = |fields = Mathematician |workplaces = Institute for Advanced Study MIT University of Toronto |alma_mater = University of Toronto, University of Waterloo, Pennsylvania State University |doctoral_advisor = Sarvadaman Chowla |academic_advisors = |doctoral_students = Cem Yıldırım |notable_students = |known_for = Analytic number theory Bombieri–Friedlander–Iwaniec theorem |author_abbrev_bot = |author_abbrev_zoo = |influences = |influenced = |awards = Fellow of the Royal Society of Canada, Jeffery–Williams Prize, Fellow of American Mathematical Society, 2012 |religion = |signature = |footnotes = }} John Friedlander {{post-nominals|country=CAN|FRSC}} is a Canadian mathematician specializing in analytic number theory. He received his B.Sc. from the University of Toronto in 1965, an M.A. from the University of Waterloo in 1966, and a Ph.D. from Pennsylvania State University in 1972. He was a lecturer at M.I.T. in 1974-76, and has been on the faculty of the University of Toronto since 1977, where he served as Chair during 1987-91. He has also spent several years at the Institute for Advanced Study. In addition to his individual work, he has been notable for his collaborations with other well-known number theorists, including Enrico Bombieri, William Duke, Andrew Granville, and especially Henryk Iwaniec. In 1997, in joint work with Henryk Iwaniec, Friedlander proved that infinitely many prime numbers can be obtained as the sum of a square and fourth power: {{math|1=a2 + b4}}.[1][2] Friedlander and Iwaniec improved Enrico Bombieri's "asymptotic sieve" technique to construct their proof.[3] Awards and honorsIn 1999, Friedlander received the Jeffery–Williams Prize. In 1988, Friedlander became a fellow of the Royal Society of Canada.[4] In 2002, CRM-Fields-PIMS prize In 2012 he became a fellow of the American Mathematical Society.[5] In 2017 he received the Joseph L. Doob prize, jointly with Henryk Iwaniec, for their book Opera de Cribro. Selected publications
References1. ^{{cite journal|last = Friedlander|first = John|author2=Iwaniec, Henryk|title = The polynomial X2 + Y4 captures its primes|journal = Annals of Mathematics|volume = 148|year = 1998|pages = 945–1040|url = http://www.emis.ams.org/journals/Annals/148_3/fried1.pdf|doi = 10.2307/121034|jstor = 121034|issue = 3|publisher = Annals of Mathematics|arxiv = math/9811185}} 2. ^{{Cite journal |last=Friedlander |first=John |last2=Iwaniec |first2=Henryk |year=1997 |title=Using a parity-sensitive sieve to count prime values of a polynomial |journal=PNAS |volume=94 |issue=4 |pages=1054–1058 |url=http://www.pnas.org/content/94/4/1054.abstract |doi=10.1073/pnas.94.4.1054 |postscript= |pmid=11038598 |pmc=19742|bibcode=1997PNAS...94.1054F }}. 3. ^International Team Shows that Primes Can Be Found in Surprising Places 4. ^Search Royal Society of Canada Fellows, retrieved 2013-01-2013. 5. ^List of Fellows of the American Mathematical Society, retrieved 2012-12-29. External links
7 : Living people|Year of birth missing (living people)|Canadian mathematicians|University of Toronto alumni|University of Toronto faculty|Number theorists|Fellows of the American Mathematical Society |
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