Boris Alexejewitsch Wenkow

from Wikipedia, the free encyclopedia

Boris Alexejewitsch Wenkow ( Russian Борис Алексеевич Венков , English transcription Boris Alekseevich Venkov ; born August 13, 1900 in Kratkowo , today in Pskov Oblast ; †  December 13, 1962 in Leningrad ) was a Russian mathematician who dealt with number theory.

Life

Venkov studied at the University of Leningrad with the degree in 1925, was from 1928 to 1934 at the Mathematical Institute of the Academy of Sciences (later the Steklov Institute ), became a professor in 1933 and taught at the University of Leningrad from 1935. In 1936 he completed his habilitation (Russian doctorate).

In 1928 he gave an elementary proof of the class number formulas for imaginary quadratic number fields by Dirichlet using the arithmetic of quaternions and the theory of ternary quadratic forms according to Gauss . In 1940 he published a reduction theory of positive-definite quadratic forms.

Fonts

  • Elementary number theory (Russian), Moscow, Leningrad 1937

literature

Web links

Individual evidence

  1. That means without analytical methods
  2. with discriminant D not equal to 1 mod 8
  3. Wenkov About the class number of positive binary quadratic forms , mathematical journal, Volume 33, 1931, S. 350 , translation from Izv. Akad. Nauka SSSR, 1928
  4. ^ Malyshev Reduction of quadratic forms , Encyclopedia of Mathematics, Springer Verlag