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Incoming links: Self-conjugate partition and distinct odd parts
Past exam of the mathematics course of the University of Cambridge 2022 iii Paper 160 4 a iii Solution Created 2026-09-28 Updated 2026-10-03
For a self-conjugate diagram, its diagonal hooks partition all its cells and have distinct odd lengths. Conversely, placing hooks with any prescribed distinct odd lengths along the diagonal reconstructs one self-conjugate diagram. This gives the bijection in self-conjugate partition and distinct odd parts and the generating function