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:
“Only as we live, think, feel, and work outside the home, do we become humanly developed, civilized, socialized.”
—Charlotte Perkins Gilman (1860–1935)
“Cole’s Hill was the scene of the secret night burials of those who died during the first year of the settlement. Corn was planted over their graves so that the Indians should not know how many of their number had perished.”
—For the State of Massachusetts, U.S. public relief program (1935-1943)
“... the first reason for psychology’s failure to understand what people are and how they act, is that clinicians and psychiatrists, who are generally the theoreticians on these matters, have essentially made up myths without any evidence to support them; the second reason for psychology’s failure is that personality theory has looked for inner traits when it should have been looking for social context.”
—Naomi Weisstein (b. 1939)