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

Baruah, Nayandeep Deka; Begum, Nilufar Mana; Das, Hirakjyoti

doi:10.48550/arxiv.2005.06799

2020

DOI: 10.48550/arxiv.2005.06799

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

Nayandeep Deka Baruah¹,

Nilufar Mana Begum²,

Hirakjyoti Das³

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

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.

Cited by 0 publications

References 8 publications

No citations

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