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Electronic Journal of Combinatorics
Article . 2013 . Peer-reviewed
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zbMATH Open
Article . 2013
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Article . 2022
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Multiplicative Partitions

Multiplicative partitions
Authors: Marc Chamberland; Colin Johnson; Alice Nadeau; Bingxi Wu;

Multiplicative Partitions

Abstract

New formulas for the multiplicative partition function are developed. Besides giving a fast algorithm for generating these partitions, new identities for additive partitions and the Riemann zeta function are also produced.

Related Organizations
Keywords

sigma function, Combinatorial aspects of partitions of integers, gamma function, Multiplicative number theory, \(\zeta (s)\) and \(L(s, \chi)\), partitions, Selberg formula, Sequences and sets, Analytic theory of partitions, Riemann zeta function

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    5
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
gold