Abstract
K. Alladi first observed a variant of I. Schur’s 1926 partition theorem. Namely, the number of partitions of n in which all parts are odd and none appears more than twice equals the number of partitions of n in which all parts differ by at least 3 and more than 3 if one of the parts is a multiple of 3. In this paper, we refine this result to one that counts the number of parts in the relevant partitions.
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Andrews, G.E. (2019). A Refinement of the Alladi–Schur Theorem. In: Andrews, G., Krattenthaler, C., Krinik, A. (eds) Lattice Path Combinatorics and Applications. Developments in Mathematics, vol 58. Springer, Cham. https://doi.org/10.1007/978-3-030-11102-1_5
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DOI: https://doi.org/10.1007/978-3-030-11102-1_5
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