Partition identities from third and sixth order mock theta functions

DOI10.1016/j.ejc.2012.04.005zbMath1287.11121OpenAlexW2040736180MaRDI QIDQ449199

Youn-Seo Choi, Byungchan Kim

Publication date: 12 September 2012

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2012.04.005

zbMATH Keywords

crankcongruencemock theta function\(n\)-color overpartition\(n\)-color partition

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (5)

Congruences for partition functions related to mock theta functions ⋮ ON SOME COMBINATORIAL INTERPRETATIONS FOR ROGERS-RAMANUJAN TYPE IDENTITIES ⋮ Combinatorics of some fifth and sixth order mock theta functions ⋮ Congruences for some partitions related to mock theta functions ⋮ New congruences modulo 5 for partition related to mock theta function \(\omega (q)\)

Cites Work

• The basic bilateral hypergeometric series and the mock theta functions
• Distribution of a certain partition function modulo powers of primes
• New analogues of Ramanujan's partition identities
• Rogers-Ramanujan identities for partitions with n copies of n
• Lattice paths and multiple basic hypergeometric series
• Ramanujan's ``Lost Notebook. VI: The mock theta conjectures
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• Modular transformations of Ramanujan's fifth and seventh order mock theta functions
• {\(n\)}-color partition theoretic interpretations of some mock theta functions
• Sixth order mock theta functions
• Cranks and t-cores
• A Survey of Classical Mock Theta Functions
• Tenth order mock theta functions in Ramanujan's lost notebook III
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION
• RAMANUJAN CONGRUENCES FOR A CLASS OF ETA QUOTIENTS
• An analog of crank for a certain kind of partition function arising from the cubic continued fraction
• Ramanujan's Lost Notebook
• Construction and Application of a Class of Modular Functions (II)†
• The Final Problem : An Account of the Mock Theta Functions
• Tenth order mock theta functions in Ramanujan's lost notebook. II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Partition identities from third and sixth order mock theta functions