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词条 Alexander Buchstab
释义

  1. Selected publications

  2. References

  3. External links

{{Infobox scientist
| name = Alexander Buchstab
| image =
| image_size =
| caption =
| birth_date = {{birth date|1905|10|04}}
| birth_place = Stavropol
| death_date = {{death date and age|1990|02|27|1905|10|04}}
| death_place =
| nationality = {{flag|Soviet Union}}
| fields = Mathematics
| workplaces = Moscow State Pedagogical Institute
| alma_mater = Moscow State University
| doctoral_advisor = Aleksandr Khinchin
| doctoral_students = Gregory Freiman
Ilya Piatetski-Shapiro
| known_for = Buchstab function
| awards =
}}Aleksandr Adol'fovich Buchstab (October 4, 1905 – February 27, 1990;[1] {{lang-ru|Александр Адольфович Бухштаб}}, variously transliterated as Bukhstab, Buhštab, or Bukhshtab) was a Soviet mathematician who worked in number theory and was "known for his work in sieve methods".[2][3] He is the namesake of the Buchstab function, which he wrote about in 1937.[4]

Buchstab was born in Stavropol; his father was a physician. He studied at the Rostov Polytechnic Institute and Rostov University before moving to the faculty of mechanics and mathematics at Moscow State University, where he earned a degree in 1928. He worked at the Moscow Higher Technical College from 1928 until 1930, and then from 1930 to 1939 at Azerbaijan University, where was the chair of algebra and function theory and then dean of physics and mathematics.[1]

During this period, Buchstab also did graduate studies at Moscow State under the supervision of Aleksandr Khinchin. He defended his candidacy in 1939,[1][5] and at that time was appointed to a professorship at the Moscow State Pedagogical University. During World War II he taught at the Azerbaijan State University and Dzerzhinskii Higher Naval Engineering College, returning to Moscow in 1943 and defending a doctorate from the Steklov Institute of Mathematics in 1944.[1] He remained at the Moscow State Pedagogical University for the rest of his career,[1] where his students included Gregory Freiman and Ilya Piatetski-Shapiro.[5]

Selected publications

  • {{citation|first=А. А.|last=Бухштаб|title=Асимптотическая оценка одной общей теоретикочисловой функции|journal=Matematicheskii Sbornik|year=1937|volume=2(44)|issue=6|pages=1239–1246|url=http://mi.mathnet.ru/msb5649|zbl=0018.24504|language=Russian|trans-title=Asymptotic estimation of a general number-theoretic function}}

References

1. ^{{citation|title=Aleksandr Adol'fovich Bukhshtab (obituary)|journal=Russian Mathematical Surveys|volume=46|issue=1|year=1991|pages=241–243|doi=10.1070/RM1991v046n01ABEH002726|url=http://www.numbertheory.org/obituaries/RMS/bukhshtab/|bibcode=1991RuMaS..46Q.241K}}.
2. ^{{citation|title=Selected Works of Ilya Piatetski-Shapiro|editor1-first=James W.|editor1-last=Cogdell|editor2-first=Semen Grigorʹevich|editor2-last=Gindikin|editor3-first=Peter|editor3-last=Sarnak|publisher=American Mathematical Society|year=2000|isbn=9780821809303|page=6|url=https://books.google.com/books?id=q3xSNdApLVEC&pg=PA6}}.
3. ^{{citation | last1 = Iwaniec | first1 = H. | last2 = van de Lune | first2 = J. | last3 = te Riele | first3 = H. J. J. | issue = 4 | journal = Indagationes Mathematicae | mr = 597998 | pages = 409–417 | publisher = Koninklijke Nederlandse Akademie van Wetenschappen | title = The limits of Buchstab's iteration sieve | volume = 42 | year = 1980}}.
4. ^{{SpringerEOM|id=Bukhstab_function|title=Bukhstab function|first=A.|last=Hildebrand}}
5. ^{{mathgenealogy|id=29696}}

External links

  • Math-net.ru
{{Authority control}}{{DEFAULTSORT:Buchstab, Aleksandr Adolfovich}}

6 : 1905 births|1990 deaths|20th-century Russian mathematicians|Russian mathematicians|Number theorists|Moscow State University alumni

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