Anatoly Karatsuba
| Anatolii Alexeevich Karatsuba | |
|---|---|
 | |
| Born |
31 January 1937 Grozny, Soviet Union |
| Died |
28 September 2008 (aged 71) Moscow, Russia |
| Nationality | Russian |
| Fields | Mathematician |
| Alma mater | Moscow State University |
Anatoly Alexeevitch Karatsuba (or Karačuba) (Russian: Анато́лий Алексе́евич Карацу́ба; Grozny, Soviet Union, January 31, 1937 – Moscow, Russia, September 28, 2008[1]) was a Russian mathematician working in the field of analytic number theory, p-adic numbers and Dirichlet series.
For most of his student and professional life he was associated with the Faculty of Mechanics and Mathematics of Moscow State University, defending a D.Sc. there entitled "The method of trigonometric sums and intermediate value theorems" in 1966.[2] He later held a post at the Steklov Institute of Mathematics of the Academy of Sciences.[2]
His textbook Foundations of analytic number theory went to two editions, 1975 and 1983.[2]
The Karatsuba algorithm is the earliest known divide and conquer algorithm for multiplication and lives on as a special case of its direct generalization, the Toom–Cook algorithm.[3] His eponymous algorithm is a fast procedure for multiplying large numbers, a divide and conquer algorithm later asymptotically improved by the Schönhage–Strassen algorithm which is based on the A. A. Karatsuba ideas and its development.[4][5]
The main research works of Anatoly Karatsuba were published in more than 160 research papers and monographs.[6]
See also
References
- ↑ http://iopscience.iop.org/1064-5632/72/6/E01/pdf/1064-5632_72_6_E01.pdf
- 1 2 3 1998 Russian Mathematical Survey 53 419 http://iopscience.iop.org/0036-0279/53/2/M21
- ↑ D. Knuth, TAOCP vol. II, sec. 4.3.3
- ↑ Karatsuba, A. A. (2013). "Comments to My Works,Written by Myself". Proceedings of the Steklov Institute of Mathematics (Supplementary issues) (282:1): 1–23.
- ↑ Gritsenko, E. A. Karatsuba, M. A. Korolev, I. S. Rezvyakova, D. I. Tolev, M. E. Changa, S.A. (2013). "Scientific Achievements of Anatolii Alekseevich Karatsuba". Proceedings of the Steklov Institute of Mathematics (Supplementary issues) (280:2): 1–22.
- ↑ List of research works, Anatolii Karatsuba, Steklov Mathematical Institute (accessed March 2012).
- G. I. Archipov; V. N. Chubarikov (1997). "On the mathematical works of professor A. A. Karatsuba". Proc. Steklov Inst. Math. 218.
External links
- Anatoly Karatsuba at the Mathematics Genealogy Project
- "Karatsuba Anatolii Alexeevitch (personal home page)". Archived from the original on 6 October 2008. Retrieved November 17, 2008.
- List of Research Works at Steklov Institute of Mathematics
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