On relationships between q-product identities and combinatorial partition identities

DOI10.5937/MatMor2001083CzbMath1474.05023OpenAlexW3028517397MaRDI QIDQ4992278

M. P. Chaudhary, Sonajharia Minz, Sangeeta Choudhary

Publication date: 8 June 2021

Published in: Mathematica Moravica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5937/matmor2001083c

zbMATH Keywords

Rogers-Ramanujan identitiesRamanujan's theta functionsRogers-Ramanujan continued fractionEuler's pentagonal number theoremJacobi's triple-product identity\(q\)-product identitiescombinatorial partition identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Theta series; Weil representation; theta correspondences (11F27)

Related Items

Unnamed Item, On relationships between q-products identities, Ralpha, Rbeta and Rm functions related to Jacobi's triple-product identity

Cites Work

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• FIVE RELATIONSHIPS BETWEEN CONTINUED FRACTION IDENTITIES, q-PRODUCT IDENTITIES AND COMBINATORIAL PARTITION IDENTITIES
• CERTAIN IDENTITIES ASSOCIATED WITH CHARACTER FORMULAS, CONTINUED FRACTION AND COMBINATORIAL PARTITION IDENTITIES
• REPRESENTATIONS OF RAMANUJAN CONTINUED FRACTION IN TERMS OF COMBINATORIAL PARTITION IDENTITIES
• NOTE ON MODULAR RELATIONS FOR THE ROGER-RAMANUJAN TYPE IDENTITIES AND REPRESENTATIONS FOR JACOBIAN IDENTITY