Restricted overpartitions and concave compositions have generating functions with mixed modular structures for which asymptotic main terms are obtained.
Dyson,Some guesses in the theory of partitions, Eureka (Cambridge)8(1944), 10–15
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Restricted Overpartitions and concave compositions: their modularity and asymptotics
Restricted overpartitions and concave compositions have generating functions with mixed modular structures for which asymptotic main terms are obtained.