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:

    An effective human being is a whole that is greater than the sum of its parts.
    Ida P. Rolf (1896–1979)

    For every life and every act
    Consequence of good and evil can be shown
    And as in time results of many deeds are blended
    So good and evil in the end become confounded.
    —T.S. (Thomas Stearns)

    As Jerome expanded, its chances for the title, “the toughest little town in the West,” increased and when it was incorporated in 1899 the citizens were able to support the claim by pointing to the number of thick stone shutters on the fronts of all saloons, gambling halls, and other places of business for protection against gunfire.
    —Administration in the State of Ariz, U.S. public relief program (1935-1943)

    No theory is good unless it permits, not rest, but the greatest work. No theory is good except on condition that one use it to go on beyond.
    André Gide (1869–1951)