Science, Math, Number Theory, Open Problems - Introduction to the ABC Conjecture. Slides by Barry Mazur.
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Number Theory Conjectures (Popularity: ): A collection of easily stated conjectures which are still open. Each conjecture is stated along with a collection of references. Mathematician's Secret Room (Popularity: ): Unsolved problems in Number Theory. English and Japanese text by Hisanori Mishima. Unsolved Problems and Rewards (Popularity: ): By Clark Kimberling. Offers prizes for solutions of some problems in number theory. L-functions and Random Matrix Theory (Popularity: ): Conjectures and open problems concerning L-functions, focussing on the areas in which there has been recent progress using results from ... Unsolved Problems and Conjectures (Popularity: ): Regarding equal sums of like powers, compiled by Chen Shuwen. The Amazing ABC Conjecture (Popularity: ): Article by Ivars Peterson. The ABC Conjecture (Popularity: ): Maintained by Abderrahmane Nitaj. A New Extreme ABC-example (Popularity: ): Explanation of an example with quality 1.920859, found by Benne de Weger and Niklas Broberg. MUG: ABC-conjecture (Popularity: ): Maple code to illustrate the conjecture discussed and refined. XGC (Popularity: ): An eXtension of the Goldbach Conjecture. Mathematica code.