A Note on the Equidistribution of 3-Colour Partitions
In this short note, we prove equidistribution results regarding three families of three-colour partitions recently introduced by Schlosser and Zhou. To do so, we prove an asymptotic formula for the infinite product 𝐹ₐ,c(ζ; e⁻ᶻ) := ∏ₙ≥₀ (1 − ζe⁻⁽ᵃ⁺ᶜⁿ⁾ᶻ) (𝑎, c ∈ ℕ with 0 < 𝑎 ≤ c and ζ a root of un...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2024 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212122 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A Note on the Equidistribution of 3-Colour Partitions. Joshua Males. SIGMA 20 (2024), 001, 8 pages |