Anatoly Karatsuba

Anatoly Alexeyevich Karazuba (Russian Анатолий Алексеевич Карацуба, Anatolii Alexeevich Karatsuba English transcription; born January 31, 1937 in Grozny, † 28 September 2008 in Moscow) was a Russian mathematician who worked on computer science, number theory and analysis. He found in 1960 the first "fast" multiplication algorithm.

Karazuba attended from 1944 to 1954 the higher school in Grozny, where he already noticed by his mathematical talent. He then studied at the Moscow State University with a diploma degree in 1959 and 1962 with Nikolai Mikhailovich Korobov doctorate (rational trigonometric sums and their special application). In 1966 he habilitated at the Steklov Institute (Russian PhD ) with the work, the method of trigonometric sums and mean value theorems and was then at the Steklov Institute, most recently as Head of number theory. Since 1970 he was Professor of Number Theory at the Moscow State University and since 1980 Professor of Analysis.

In addition to analytic number theory and analysis ( trigonometric sums by Vinogradov, where he found a new p- adic method for the evaluation, assessment of trigonometric integrals and solution of a problem of Hua Luogeng, Riemann zeta function, Dirichlet characters ), he was also involved in automata theory and algorithms: he found the Karazuba algorithm for fast multiplication. In 1981 he was awarded the Chebyshev Prize and the 2001 Vinogradov Prize of the Soviet Academy of Sciences. He was honored in Russia as deserving scientists in 1999.

He was married to the mathematician Diana V. Senchenko and had with her ​​a daughter Yekaterina Karazuba, the mathematician is also ( Senior Scientist at the Computing Center of the Russian Academy of Sciences). He was a passionate cavers and mountaineers.

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

Writings

  • The Riemann Zeta Function with Voronin, De Gruyter 1992
  • With GI Arkhipov, VN Chubarikhov Trigonometric sums in number theory and analysis, 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
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