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:

    Watteau is no less an artist for having painted a fascia board while Sainsbury’s is no less effective a business for producing advertisements which entertain and educate instead of condescending and exploiting.
    Stephen Bayley (b. 1951)

    The restlessness that comes upon girls upon summer evenings results in lasting trouble unless it is speedily controlled. The right kind of man does not look for a wife on the streets, and the right kind of girl waits till the man comes to her home for her.
    Sedalia Times (1900)

    It is the quality of the moment, not the number of days, or events, or of actors, that imports.
    Ralph Waldo Emerson (1803–1882)

    The theory seems to be that so long as a man is a failure he is one of God’s chillun, but that as soon as he has any luck he owes it to the Devil.
    —H.L. (Henry Lewis)