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Asymptotic relations for partitions. (English) Zbl 0315.10043


MSC:

11P81 Elementary theory of partitions
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References:

[1] Bateman, P. T.; Erdös, P., Monotonicity of partition functions, Mathematika, 3, 1-14 (1956) · Zbl 0074.03502
[2] Roth, K. F.; Szekeres, G., Some asymptotic formulae in the theory of partitions, Quart. J. Math. Oxford Ser., 5, 241-259 (1954) · Zbl 0057.03902
[3] W. Schwarz, C., Mahler’s partitions-problem, J. Reine Angew. Math., 229, 182-188 (1967)
[4] Schwarz, W., Schwache asymptotic Eigenschaften von Partionen, J. Reine Angew. Math., 232, 1-16 (1968)
[5] Schwarz, W., Asymptotische Formeln für Partititionen, J. Reine Angew. Math., 234, 172-178 (1969) · Zbl 0165.36202
[6] Grosswald, E., (The Theory of Numbers (1966), Macmillan: Macmillan New York) · Zbl 0154.07203
[7] Szekeres, G., An asymptotic formula in the theory of partitions (II), Quart. J. Math. Oxford Ser., 4, 96-111 (1953) · Zbl 0050.04101
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