Baker's Explicit abc-Conjecture and applications

2011/12/12 by Shanta Laishram, Laishram, Shanta, T. N. Shorey +1
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1112.2461

arxiv created 2011/12/12 · arxiv updated 2011/12/13

Abstract

The conjecture of Masser-Oesterlé, popularly known as abc-conjecture have many consequences. We use an explicit version due to Baker to solve a number of conjectures.

Related

• A more general abc conjecture
• Congruence ABC implies ABC
• Probable Counterexamples of the ABC Conjecture
• A form of refined Roth's theorem and its application to the abc-conjecture
• The exceptional set in the abc conjecture