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.
Read more about this topic: Yuri Linnik
Famous quotes containing the words work, number and/or theory:
“Art is a private thing, the artist makes it for himself; a comprehensible work is the product of a journalist.... We need works that are strong, straight, precise, and forever beyond understanding.”
—Tristan Tzara (1896–1963)
“The quality of moral behaviour varies in inverse ratio to the number of human beings involved.”
—Aldous Huxley (1894–1963)
“There never comes a point where a theory can be said to be true. The most that one can claim for any theory is that it has shared the successes of all its rivals and that it has passed at least one test which they have failed.”
—A.J. (Alfred Jules)