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:
“Even the wisest man grows tense
With some sort of violence
Before he can accomplish fate,
Know his work or choose his mate.
Poet and sculptor, do the work,
Nor let the modish painter shirk”
—William Butler Yeats (1865–1939)
“Envy has blackened every page of his history.... The future, in its justice, will number him among those men whom passions and an excess of activity have condemned to unhappiness, through the gift of genius.”
—Eugène Delacroix (1798–1863)
“No one thinks anything silly is suitable when they are an adolescent. Such an enormous share of their own behavior is silly that they lose all proper perspective on silliness, like a baker who is nauseated by the sight of his own eclairs. This provides another good argument for the emerging theory that the best use of cryogenics is to freeze all human beings when they are between the ages of twelve and nineteen.”
—Anna Quindlen (20th century)