论文信息 - On the largest size of a partition that is both s-core and t-core

On the largest size of a partition that is both s-core and t-core

Abstract Text Let s , t be relatively prime positive integers. We prove a conjecture of Aukerman, Kane and Sze regarding the largest size of a partition that is simultaneously s-core and t-core by solving an equivalent problem concerning sets S of positive integers with the property that for n ∈ S , n − s ∈ S whenever n ⩾ s and n − t ∈ S whenever n ⩾ t . Video For a video summary of this paper, please visit http://www.youtube.com/watch?v=o1OEug8LryU .

Amitabha Tripathi | A. Tripathi

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