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arXiv · 2005.06799

Results on some partition functions arising from certain relations involving the Rogers-Ramanujan continued fractions

Nayandeep Deka Baruah·Nilufar Mana Begum·Hirakjyoti Das
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Abstract

Relations involving the Rogers-Ramanujan continued fractions $R(q),$ $R(q^3 ),$ and $R(q^4)$ are used to find new generating functions and congruences modulo 5 and 25 for 3-core, 4-core, 4-regular, and colored partition functions.

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Nayandeep Deka Baruah, Nilufar Mana Begum, Hirakjyoti Das. 2020-05-14. Results on some partition functions arising from certain relations involving the Rogers-Ramanujan continued fractions. https://arxiv.org/abs/2005.06799

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