Anatoly Karatsuba

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Anatolii Alexeevich Karatsuba
Anatolii Karatsuba.jpg
Born (1937-01-31)31 January 1937
Grozny, Soviet Union
Died 28 September 2008(2008-09-28) (aged 71)
Moscow, Russia
Nationality Russian
Fields Mathematician
Alma mater Moscow State University

Anatoly Alexeevitch Karatsuba (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]

His eponymous algorithm is a fast procedure for multiplying large numbers, a divide and conquer algorithm later asymptotically improved by the Schönhage–Strassen algorithm. The Karatsuba algorithm is the earliest known divide and conquer algorithm for multiplication and lives on as a special case of the Toom–Cook algorithm.[3]

The main research works of Anatoly Karatsuba were published in more than 160 research papers and monographs.[4]

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References[edit]

  1. ^ http://iopscience.iop.org/1064-5632/72/6/E01/pdf/1064-5632_72_6_E01.pdf
  2. ^ a b c 1998 Russian Mathematical Survey 53 419 http://iopscience.iop.org/0036-0279/53/2/M21
  3. ^ D. Knuth, TAOCP vol. II, sec. 4.3.3
  4. ^ 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. 

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