Proof of the Alder-Andrews Conjecture.Lemke Oliver, Robert J.
Motivated by classical identities of Euler, Schur, and Rogers and Ramanujan, Alder investigated qd(n) and Qd(n), the number of partitions of n into d-distinct parts and into parts which are ±1(mod d + 3), respectively. He conjectured that qd(n) ≥ Qd(n) Andrews and Yee proved the conjecture for d = 2s −1 and also for d ≥ 32. We complete the proof of Andrews's refinement of Alder's conjecture by det... read more
- Partitions (Mathematics)
- Tufts University. Department of Mathematics.
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- Original publication
- Alfes, Claudia, Marie Jameson, and Robert J. Lemke Oliver. "Proof of the Alder-Andrews Conjecture." Proceedings of the American Mathematical Society 139, no. 01 (January 1, 2011): 63-63. doi:10.1090/s0002-9939-2010-10500-2.