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arXiv.org e-Print Archive
Preprint . 2026
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Asymptotic Formula for Multipartitions

descriptionPublicationkeyboard_double_arrow_right Preprint 10 Jul 2026
Authors: Barman, Jayanta; Mahatab, Kamalakshya;

arXiv: 2607.09159

Asymptotic Formula for Multipartitions

Abstract

Let $p_t(N)$ denote the number of $t$-multipartitions of a positive integer $N$. In this article, we obtain an asymptotic formula for $p_t(N)$, when $t \ll N^{1 - ε}$, for any $ε> 0$.

12 pages

Keywords

Number Theory, 11P82, 11N37

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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!
0
Average
Average
Average