Numerical investigation of certain asymptotic results in the theory of partitions

M. S. Cheema; W. E. Conway

doi:10.1090/S0025-5718-1972-0314756-0

Numerical investigation of certain asymptotic results in the theory of partitions

M. S. Cheema, W. E. Conway

Mathematics

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

Abstract

A numerical investigation of some of the asymptotic formulas in partitions is made. Comparisons with actual computed values show that in certain cases only the relative error tends to zero and the errors are significant. Only in the case of pk(n) is it found that only a few terms of the asymptotic series are sufficient to obtain the exact value.

Original language	English (US)
Pages (from-to)	999-1005
Number of pages	7
Journal	Mathematics of Computation
Volume	26
Issue number	120
DOIs	https://doi.org/10.1090/S0025-5718-1972-0314756-0
State	Published - Oct 1972

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-1972-0314756-0

Cite this

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abstract = "A numerical investigation of some of the asymptotic formulas in partitions is made. Comparisons with actual computed values show that in certain cases only the relative error tends to zero and the errors are significant. Only in the case of pk(n) is it found that only a few terms of the asymptotic series are sufficient to obtain the exact value.",

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AB - A numerical investigation of some of the asymptotic formulas in partitions is made. Comparisons with actual computed values show that in certain cases only the relative error tends to zero and the errors are significant. Only in the case of pk(n) is it found that only a few terms of the asymptotic series are sufficient to obtain the exact value.

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Numerical investigation of certain asymptotic results in the theory of partitions

Abstract

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