Effective Results in Number Theory

Effective Results In Number Theory

For historical reasons and in order to have application to the solution of Diophantine equations, results in number theory have been scrutinised more than in other branches of mathematics to see if their content is effectively computable. Where it is asserted that some list of integers is finite, the question is whether in principle the list could be printed out after a machine computation.

Read more about Effective Results In Number Theory:  Littlewood's Result, The 'Siegel Period', Later Work, Theoretical Issues

Famous quotes containing the words effective, results, number and/or theory:

    I know no method to secure the repeal of bad or obnoxious laws so effective as their stringent execution.
    Ulysses S. Grant (1822–1885)

    Life and language are alike sacred. Homicide and verbicide—that is, violent treatment of a word with fatal results to its legitimate meaning, which is its life—are alike forbidden.
    Oliver Wendell Holmes, Sr. (1809–1894)

    Civilization is maintained by a very few people in a small number of places and we need only some bombs and a few prisons to blot it out altogether.
    Cyril Connolly (1903–1974)

    In the theory of gender I began from zero. There is no masculine power or privilege I did not covet. But slowly, step by step, decade by decade, I was forced to acknowledge that even a woman of abnormal will cannot escape her hormonal identity.
    Camille Paglia (b. 1947)