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:
“But I must needs take my petulance, contrasting it with my accustomed morning hopefulness, as a sign of the ageing of appetite, of a decay in the very capacity of enjoyment. We need some imaginative stimulus, some not impossible ideal which may shape vague hope, and transform it into effective desire, to carry us year after year, without disgust, through the routine- work which is so large a part of life.”
—Walter Pater (1839–1894)
“In proportion as our inward life fails, we go more constantly and desperately to the post office. You may depend on it, that the poor fellow who walks away with the greatest number of letters, proud of his extensive correspondence, has not heard from himself this long while.”
—Henry David Thoreau (1817–1862)
“Could Shakespeare give a theory of Shakespeare?”
—Ralph Waldo Emerson (1803–1882)