Asymptotic formulas for general colored partition functions Article Swipe
Yong-Gao Chen
,
Ya-Li Li
·
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1610.05938
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1610.05938
In 1917, Hardy and Ramanujan obtained the asymptotic formula for the classical partition function $p(n)$. The classical partition function $p(n)$ has been extensively studied. Recently, Luca and Ralaivaosaona obtained the asymptotic formula for the square-root function. Many mathematicians have paid much attention to congruences on some special colored partition functions. In this paper, we investigate the general colored partition functions. Given positive integers $1=s_1
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- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/1610.05938
- https://arxiv.org/pdf/1610.05938
- OA Status
- green
- References
- 15
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2532628261
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https://openalex.org/W2532628261Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.1610.05938Digital Object Identifier
- Title
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Asymptotic formulas for general colored partition functionsWork title
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2016Year of publication
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2016-10-19Full publication date if available
- Authors
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Yong-Gao Chen, Ya-Li LiList of authors in order
- Landing page
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https://arxiv.org/abs/1610.05938Publisher landing page
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https://arxiv.org/pdf/1610.05938Direct link to full text PDF
- Open access
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/1610.05938Direct OA link when available
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Colored, Ramanujan's sum, Asymptotic formula, Partition function (quantum field theory), Partition (number theory), Congruence relation, Mathematics, Combinatorics, Generating function, Physics, Quantum mechanics, Materials science, Composite materialTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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15Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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