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319:. It is a reduction from a complicated sum to a number of smaller sums which are then simplified. The canonical form for prime number sums is
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refers to his main problem-solving technique, applied to central questions involving the estimation of
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in 1942. In 1951 he became a foreign member of the Polish
Academy of Sciences and Letters in Kraków.
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Although he was always faithful to the official line, he was never a member of the
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for 49 years. For his long service he was twice awarded the order of The
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With the help of this method, Vinogradov tackled questions such as the
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572:"Ivan Matveevich Vinogradov. 14 September 1891 – 20 March 1983"
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550:, both mathematicians whose careers started in his institute.
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Foreign members of the
Serbian Academy of Sciences and Arts
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732:. Moscow: Sov. Entsiklopediya 1977. Now translated as the
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Academic staff of the
Steklov Institute of Mathematics
539:. He had friendly relations with the president of the
614:"Ivan Vinogradov - the Mathematics Genealogy Project"
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Biographical
Memoirs of Fellows of the Royal Society
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Members of the German
Academy of Sciences at Berlin
263:, and also a dominant figure in mathematics in the
21:Not to be confused with the Russian mathematicians
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390:{\displaystyle S=\sum _{p\leq P}\exp(2\pi if(p)).}
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899:Full Members of the USSR Academy of Sciences
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252:; 14 September 1891 – 20 March 1983) was a
656:Love and Math: The Heart of Hidden Reality
570:Cassels, J. W. S.; Vaughan, R. C. (1985).
501:and was regarded as an informal leader of
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241:[ɪˈvanmɐtˈvʲejɪvʲɪtɕvʲɪnɐˈɡradəf]
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879:Saint Petersburg State University alumni
259:, who was one of the creators of modern
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767:MacTutor History of Mathematics Archive
717:Mineola, NY: Dover Publications, 2004,
702:Mineola, NY: Dover Publications, 2003,
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944:Recipients of the Lomonosov Gold Medal
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485:Vinogradov served as director of the
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924:Recipients of the USSR State Prize
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854:People from Velikoluksky District
819:Vinogradov in Abramtsevo, memoirs
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939:Recipients of the Order of Lenin
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281:Steklov Institute of Mathematics
16:Soviet mathematician (1891–1983)
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161:St. Petersburg State University
919:Recipients of the Stalin Prize
859:People from Velikoluksky Uyezd
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929:Recipients of the Lenin Prize
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287:. In 1941 he was awarded the
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515:and his overall mindset was
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277:University of St. Petersburg
232:Ива́н Матве́евич Виногра́дов
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541:Russian Academy of Sciences
440:Pólya–Vinogradov inequality
181:Fellow of the Royal Society
35:Bombieri–Vinogradov theorem
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934:Heroes of Socialist Labour
700:Elements of Number Theory.
299:Mathematical contributions
222:Ivan Matveevich Vinogradov
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425:Dirichlet divisor problem
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402:ternary Goldbach problem
291:. He was elected to the
275:. He graduated from the
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728:Vinogradov I. M. (Ed.)
525:Russian Orthodox Church
869:Russian mathematicians
591:10.1098/rsbm.1985.0021
487:Mathematical Institute
481:Personality and career
416:in its application of
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305:analytic number theory
261:analytic number theory
171:Analytic number theory
864:Soviet mathematicians
786:Memoirs of colleagues
410:Riemann zeta function
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267:. He was born in the
210:James Victor Uspensky
791:5 March 2014 at the
758:Robertson, Edmund F.
632:search.amphilsoc.org
628:"APS Member History"
442:for character sums.
406:Vinogradov's theorem
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23:Alexandre Vinogradov
824:15 May 2011 at the
812:15 May 2011 at the
778:Vinogradov memorial
756:O'Connor, John J.;
499:Academy of Sciences
309:Vinogradov's method
27:Vinogradov sequence
954:Russian scientists
713:Vinogradov, I. M.
698:Vinogradov, I. M.
548:Mikhail Lavrentyev
460:. You can help by
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86:Vinogradov in 1944
762:"Ivan Vinogradov"
667:978-0-465-05074-1
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114:Pskov Governorate
102:14 September 1891
31:Askold Vinogradov
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679:Bibliography
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635:. Retrieved
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462:adding to it
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289:Stalin Prize
273:Pskov Oblast
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140:Soviet Union
130:(1983-03-20)
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18:
849:1983 deaths
844:1891 births
584:: 613–631.
198:Mathematics
147:Nationality
54:family name
838:Categories
554:References
533:Abramtsevo
271:district,
98:1891-09-14
58:Vinogradov
50:Matveevich
46:patronymic
537:gardening
521:communist
469:June 2008
364:π
355:
344:≤
337:∑
317:Weyl sums
108:village,
822:Archived
810:Archived
789:Archived
637:17 April
226:ForMemRS
106:Milolyub
749:at the
151:Russian
721:
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691:
664:
600:769938
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503:Soviet
254:Soviet
194:Fields
177:Awards
136:Moscow
44:, the
596:JSTOR
529:dacha
429:curve
29:) or
719:ISBN
704:ISBN
689:ISBN
662:ISBN
639:2023
546:and
265:USSR
237:IPA:
125:Died
92:Born
33:(of
25:(of
804:PDF
801:DOC
586:doi
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352:exp
303:In
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