Anatoly Alexejewitsch Karazuba

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Anatoli Alexejewitsch Karazuba ( Russian Анато́лий Алексе́евич Карацу́ба , English transcription Anatolii Alexeevich Karatsuba; born January 31, 1937 in Grozny ; † September 28, 2008 in Moscow ) was a Russian mathematician who dealt with computer science and number analysis. Around 1960 he found the first "fast" multiplication algorithm.

Karazuba (2007)

Life

Karazuba attended high school in Grozny from 1944 to 1954, where he was already noted for his mathematical talent. He then studied at Lomonosov University with a diploma in 1959 and received his doctorate in 1962 under Nikolai Mikhailovich Korobov ( Special rational trigonometric sums and their application ). In 1966 he completed his habilitation at the Steklow Institute (Russian doctorate) with the thesis The Method of Trigonometric Sums and Average Theorems and was then at the Steklow Institute, most recently as head of the number theory department. Since 1970 he was professor of number theory at Lomonosov University and since 1980 professor of analysis.

In addition to analytical number theory and analysis (trigonometric sums according to Winogradow , where he found a new p-adic method for evaluation, estimating trigonometric integrals and solving a problem by Hua Luogeng , Riemann's zeta function, Dirichlet characters), he also dealt with automaton theory and algorithms: he found the Karazuba fast multiplication algorithm. In 1981 he received the Chebyshev Prize and in 2001 the Vinogradov Prize of the Soviet Academy of Sciences. In 1999 he was honored as an Honored Scientist in Russia .

He was married to the mathematician Diana V. Senchenko and had a daughter with her, Yekaterina Karazuba, who is also a mathematician (senior scientist at the computing center of the Russian Academy of Sciences). He was a passionate cave explorer and mountaineer.

His doctoral students included Sergei Mikhailovich Voronin , Gennadii Arkhipov, and Vladimir Chubarikov.

Fonts

  • with Voronin The Riemann Zetafunction , De Gruyter 1992
  • with GI Arkhipov, VN Chubarikhov Trigonometric sums in analysis and number theory , De Gruyter 2004
  • same: Multiple trigonometric sums , American Mathematical Society 1982
  • Complex analysis in number theory , CRC Press 1995
  • Basic analytic number theory , Springer 1993

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project