Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 326.10042
Autor: Erdös, Paul; Richmond, B.
Title: Concerning periodicity in the asymptotic behaviour of partition functions. (In English)
Source: J. Aust. Math. Soc., Ser. A 21, 447-456 (1976).
Review: Let PA(n) denote the number of partitions of n into summands chosen from the set A = {a0,a1, ... }. De Bruijn has shown that in Mahler's partition problem (a\nu = r\nu) there is a periodic component in the asymptotic behaviour of PA(n). We show by example that this may happen for sequences that satisfy a\nu ~ \nu and consider an analogous phenomena for partitions into primes. We then consider corresponding results for partitions into distinct summands. Finally we obtain some weaker results using elementary methods.
Classif.: * 11P81 Elementary theory of partitions
11P81 Elementary theory of partitions
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