Partitions with "d(a) copies of a"

Ashok K. Agarwal; Gary L. Mullen

doi:10.1016/0097-3165(88)90079-9

Partitions with "d(a) copies of a"

Ashok K. Agarwal
, Gary L. Mullen

Mathematics

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

6 Scopus citations

Abstract

Partitions in which we use d(a) copies of each part a are studied. The results obtained here include various combinatorial identities, a generating function, a recurrence formula, an asymptotic formula and a graphical representation for these new partitions. Some results involving restricted partitions with ″d(a) copies of a″ are also given.

Original language	English (US)
Pages (from-to)	120-135
Number of pages	16
Journal	Journal of Combinatorial Theory, Series A
Volume	48
Issue number	1
DOIs	https://doi.org/10.1016/0097-3165(88)90079-9
State	Published - May 1988

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/0097-3165(88)90079-9

Cite this

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abstract = "Partitions in which we use d(a) copies of each part a are studied. The results obtained here include various combinatorial identities, a generating function, a recurrence formula, an asymptotic formula and a graphical representation for these new partitions. Some results involving restricted partitions with ″d(a) copies of a″ are also given.",

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AU - Agarwal, Ashok K.

AU - Mullen, Gary L.

PY - 1988/5

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N2 - Partitions in which we use d(a) copies of each part a are studied. The results obtained here include various combinatorial identities, a generating function, a recurrence formula, an asymptotic formula and a graphical representation for these new partitions. Some results involving restricted partitions with ″d(a) copies of a″ are also given.

AB - Partitions in which we use d(a) copies of each part a are studied. The results obtained here include various combinatorial identities, a generating function, a recurrence formula, an asymptotic formula and a graphical representation for these new partitions. Some results involving restricted partitions with ″d(a) copies of a″ are also given.

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U2 - 10.1016/0097-3165(88)90079-9

DO - 10.1016/0097-3165(88)90079-9

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JO - Journal of Combinatorial Theory, Series A

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IS - 1

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Partitions with "d(a) copies of a"

Abstract

All Science Journal Classification (ASJC) codes

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