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Anatoly Alexeevitch Karatsuba (or Karačuba) ((ロシア語:Анато́лий Алексе́евич Карацу́ба); Grozny, Soviet Union, January 31, 1937 — Moscow, Russia, September 28, 2008〔http://iopscience.iop.org/1064-5632/72/6/E01/pdf/1064-5632_72_6_E01.pdf〕) 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.〔 He later held a post at the Steklov Institute of Mathematics of the Academy of Sciences.〔1998 Russian Mathematical Survey 53 419 http://iopscience.iop.org/0036-0279/53/2/M21〕 His textbook "Foundations of analytic number theory" went to two editions, 1975 and 1983.〔 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.〔D. Knuth, TAOCP vol. II, sec. 4.3.3〕 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. The main research works of Anatoly Karatsuba were published in more than 160 research papers and monographs.〔(List of research works ), Anatolii Karatsuba, Steklov Mathematical Institute (accessed March 2012).〕 ==See also== * ATS theorem * Karatsuba algorithm * Moore machine 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Anatoly Karatsuba」の詳細全文を読む スポンサード リンク
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