THE ROGERS–RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS

DOI10.1017/S0004972720000933zbMath1466.11075OpenAlexW3137425132MaRDI QIDQ5857592

Dazhao Tang, Shane Chern

Publication date: 1 April 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972720000933

zbMATH Keywords

recurrence relationsRogers-Ramanujan continued fractioneta-quotient representations

Mathematics Subject Classification ID

Continued fractions (11A55) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (7)

Congruences for the coefficients of a pair of third and sixth order mock theta functions ⋮ A conjecture of Baruah and Begum on the smallest parts function of restricted overpartitions ⋮ Congruence properties modulo powers of 2 for overpartitions and overpartition pairs ⋮ 1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5 ⋮ Unnamed Item ⋮ Partitions into distinct parts modulo powers of 5 ⋮ Vanishing coefficients and identities concerning Ramanujan's parameters

Cites Work

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• Modular equations for cubes of the Rogers-Ramanujan and Ramanujan-Göllnitz-Gordon functions and their associated continued fractions
• 1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5
• Partitions into distinct parts modulo powers of 5
• The power of \(q\). A personal journey
• Congruences for the coefficients of the mock theta function \(\beta (q)\)
• Ramanujan's Theta Functions
• Exact generating functions for the number of partitions into distinct parts
• The continued fractions found in the unorganized portions of Ramanujan’s notebooks
• New congruences for broken $k$-diamond partitions
• Construction and Application of a Class of Modular Functions (II)†

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