On relationships between $q$-product identities and combinatorial partition identities
Mathematica Moravica, Tome 24 (2020) no. 1.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Andrews et al. [2] discussed about the combinatorial partition identities. We aim to present some relationships between $q$-product identities and combinatorial partition identities, by using and combining known formulas.
Mots-clés :
Combinatorial partition identities, Jacobi’s triple-product identity, Ramanujan’s theta functions, q-Product identities, Combinatorial partition identities, Euler’s Pentagonal Number Theorem, Rogers-Ramanujan continued fraction, Rogers-Ramanujan identities.
@article{MM3_2020_24_1_a6, author = {M.P. Chaudhary and Sangeeta Chaudhary and Sonajharia Minz}, title = {On relationships between $q$-product identities and combinatorial partition identities}, journal = {Mathematica Moravica}, pages = {83 - 91}, publisher = {mathdoc}, volume = {24}, number = {1}, year = {2020}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2020_24_1_a6/} }
TY - JOUR AU - M.P. Chaudhary AU - Sangeeta Chaudhary AU - Sonajharia Minz TI - On relationships between $q$-product identities and combinatorial partition identities JO - Mathematica Moravica PY - 2020 SP - 83 EP - 91 VL - 24 IS - 1 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/MM3_2020_24_1_a6/ ID - MM3_2020_24_1_a6 ER -
%0 Journal Article %A M.P. Chaudhary %A Sangeeta Chaudhary %A Sonajharia Minz %T On relationships between $q$-product identities and combinatorial partition identities %J Mathematica Moravica %D 2020 %P 83 - 91 %V 24 %N 1 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/MM3_2020_24_1_a6/ %F MM3_2020_24_1_a6
M.P. Chaudhary; Sangeeta Chaudhary; Sonajharia Minz. On relationships between $q$-product identities and combinatorial partition identities. Mathematica Moravica, Tome 24 (2020) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2020_24_1_a6/