Some Problems in Partitio Numerorum

P. Erdös; J. H. Loxton

doi:10.1017/S144678870001243X

Some Problems in Partitio Numerorum

P. Erdös, J. H. Loxton

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We consider some unconventional partition problems in which the parts of the partition are restricted by divisibility conditions, for example, partitions n = a1 +… + a_k into positive integers a1 a_k such that a1 \ a₂ / •• •/ ak. Some rather weak estimates for the various partition functions are obtained.

Original language	English
Pages (from-to)	319-331
Number of pages	13
Journal	Journal of the Australian Mathematical Society
Volume	27
Issue number	3
DOIs	https://doi.org/10.1017/S144678870001243X
Publication status	Published - 1979
Externally published	Yes

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abstract = "We consider some unconventional partition problems in which the parts of the partition are restricted by divisibility conditions, for example, partitions n = a1 +… + ak into positive integers a1 ak such that a1 \ a2 / •• •/ ak. Some rather weak estimates for the various partition functions are obtained.",

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AB - We consider some unconventional partition problems in which the parts of the partition are restricted by divisibility conditions, for example, partitions n = a1 +… + ak into positive integers a1 ak such that a1 \ a2 / •• •/ ak. Some rather weak estimates for the various partition functions are obtained.

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Some Problems in Partitio Numerorum

Abstract

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