A Bijective Proof of the Alladi-Andrews-Gordon Partition Theorem

James J.Y. Zhao

Abstract


Based on the combinatorial proof of Schur's partition theorem given by Bressoud, and the combinatorial proof of Alladi's partition theorem given by Padmavathamma, Raghavendra and Chandrashekara, we obtain a bijective proof of a partition theorem of Alladi, Andrews and Gordon.


Keywords


bijection; partition; Schur's partition theorem; Göllnitz's partition theorem; the Alladi-Andrews-Gordon partition theorem

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