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:
“Before anything else [Numa] decided that he must instill in his subjects the fear of the gods, this being the most effective measure with an ignorant, and at that time uncultured, people.”
—Titus Livius (Livy)
“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)
“There are crimes which become innocent and even glorious through their splendor, number and excess.”
—François, Duc De La Rochefoucauld (16131680)
“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 (18691951)