Yuri Linnik - Work in Number Theory

Work in Number Theory

  • Linnik's theorem in analytic number theory
  • The dispersion method (which allowed him to solve the Titchmarsh problem).
  • The large sieve (which turned out to be extremely influential).
  • An elementary proof of the Hilbert-Waring theorem; see also Schnirelmann density.
  • The Linnik ergodic method, see Linnik (1968), which allowed him to study the distribution properties of the representations of integers by integral ternary quadratic forms.

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