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arXiv · 1906.09892

On eight colour partitions

B. Hemanthkumar·H. S. Sumanth Bharadwaj
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Abstract

In this article, we study the arithmetic properties of the partition function $p_8(n)$, the number of 8-colour partitions of $n$. We prove several Ramanujan type congruences modulo higher powers of 2 for the function $p_8(n)$ by finding explicit formulas for the generating functions.

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B. Hemanthkumar, H. S. Sumanth Bharadwaj. 2019-06-24. On eight colour partitions. https://arxiv.org/abs/1906.09892

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