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)

    There is ... in every child a painstaking teacher, so skilful that he obtains identical results in all children in all parts of the world. The only language men ever speak perfectly is the one they learn in babyhood, when no one can teach them anything!
    Maria Montessori (1870–1952)

    My tendency to nervousness in my younger days, in view of the fact of a number of near relatives on both my father’s and mother’s side of the house having become insane, gave some serious uneasiness. I made up my mind to overcome it.... In the cross-examination of witnesses before a crowded court-house ... I soon found I could control myself even in the worst of testing cases. Finally, in battle.
    Rutherford Birchard Hayes (1822–1893)

    There is in him, hidden deep-down, a great instinctive artist, and hence the makings of an aristocrat. In his muddled way, held back by the manacles of his race and time, and his steps made uncertain by a guiding theory which too often eludes his own comprehension, he yet manages to produce works of unquestionable beauty and authority, and to interpret life in a manner that is poignant and illuminating.
    —H.L. (Henry Lewis)