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 (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]

See also

References

  1. ↑ http://iopscience.iop.org/1064-5632/72/6/E01/pdf/1064-5632_72_6_E01.pdf
  2. ↑ 2.0 2.1 2.2 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).

External links