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:
“Basically, I have no place in organized politics. By coming to the British Parliament, Ive allowed the people to sacrifice me at the top and let go the more effective job I should be doing at the bottom.”
—Bernadette Devlin (b. 1947)
“Social improvement is attained more readily by a concern with the quality of results than with the purity of motives.”
—Eric Hoffer (19021983)
“I will not adopt that ungenerous and impolitic custom so common with novel writers, of degrading by their contemptuous censure the very performances, to the number of which they are themselves addingjoining with their greatest enemies in bestowing the harshest epithets on such works, and scarcely ever permitting them to be read by their own heroine, who, if she accidentally take up a novel, is sure to turn over its insipid leaves with disgust.”
—Jane Austen (17751817)
“The theory of the Communists may be summed up in the single sentence: Abolition of private property.”
—Karl Marx (18181883)