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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Asymptotic relations for partitions


Author: L. B. Richmond
Journal: Trans. Amer. Math. Soc. 219 (1976), 379-385
MSC: Primary 10J20
MathSciNet review: 0412137
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Abstract: Asymptotic relations are obtained for the number $ {p_A}(n)$ of partitions of the integer n into summands from a set A of integers. The set A is subject to certain conditions; however the only arithmetic condition is that A have property $ {P_k}$ of Bateman and Erdös. A conjecture of Bateman and Erdös concerning the kth differences of $ {p_A}(n)$ may be verified using these asymptotic relations.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1976-0412137-2
PII: S 0002-9947(1976)0412137-2
Article copyright: © Copyright 1976 American Mathematical Society