@article{SILLS2012640,
Abstract = {The purpose of this short article is to announce, and briefly describe, a Maple package, PARTITIONS, that (inter alia) completely automatically discovers, and then proves, explicit expressions (as sums of quasi-polynomials) for pm(n) for any desired m. We do this to demonstrate the power of ``rigorous guessing'' as facilitated by the quasi-polynomial ansatz.},
Author = {Sills, Andrew V. and Zeilberger, Doron},
File = {Formulæ for the number of partitions of n into at most m parts (using the quasi-polynomial ansatz) - 1-s2.0-S0196885812000127-main - a.pdf},
ISSN = {0196-8858},
Journal = {Advances in Applied Mathematics},
Keywords = {Integer partitions},
Number = {5},
Pages = {640-645},
Title = {Formul{\ae} for the number of partitions of n into at most m parts (using the quasi-polynomial ansatz)},
URL = {https://www.sciencedirect.com/science/article/pii/S0196885812000127},
Volume = {48},
Year = {2012},
bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0196885812000127},
bdsk-url-2 = {https://doi.org/10.1016/j.aam.2011.12.003},
date-added = {2023-02-26 08:14:35 +0100},
date-modified = {2023-02-26 08:14:35 +0100},
doi = {10.1016/j.aam.2011.12.003}
}
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