The ABC conjecture states that given any , there is a constant such that
The ABC conjecture is considered one of the most important unsolved problems in number , as many results would follow directly from this conjecture. For example, Fermat’s Last Theorem could be proved (for sufficiently large exponents) with about one page worth of proof.
http://www.maa.org/mathland/mathtrek_12_8.htmlThe Amazing ABC Conjecture — an article on the ABC conjecture by Ivars Peterson.
http://www.hcs.harvard.edu/hcmr/issue1/elkies.pdfThe ABC’s of Number Theory — an article on the ABC conjecture by Noam Elkies. (PDF file)
|Date of creation||2013-03-22 11:45:23|
|Last modified on||2013-03-22 11:45:23|
|Last modified by||yark (2760)|