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:

    The general fact is that the most effective way of utilizing human energy is through an organized rivalry, which by specialization and social control is, at the same time, organized co-operation.
    Charles Horton Cooley (1864–1929)

    Different persons growing up in the same language are like different bushes trimmed and trained to take the shape of identical elephants. The anatomical details of twigs and branches will fulfill the elephantine form differently from bush to bush, but the overall outward results are alike.
    Willard Van Orman Quine (b. 1908)

    I heartily wish you, in the plain home-spun style, a great number of happy new years, well employed in forming both your mind and your manners, to be useful and agreeable to yourself, your country, and your friends.
    Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)

    Freud was a hero. He descended to the “Underworld” and met there stark terrors. He carried with him his theory as a Medusa’s head which turned these terrors to stone.
    —R.D. (Ronald David)