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Some arithmetical properties of m-ary partitions

Published online by Cambridge University Press:  24 October 2008

Öystein Rödseth
Öystein Rödseth
Affiliation:
University of Bergen, Norway
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Extract

We denote by tm(n) the number of partitions of the positive integer n into non-decreasing parts which are positive or zero powers of a fixed integer m > 1 and we call tm(n) ‘the m-ary partition function’. Mahler(1) obtained an asymptotic formula for tm(n), the first term of which is

Mahler's result was later improved by de Bruijn (2).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 2 , September 1970 , pp. 447 - 453
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

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