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  1. Nahm sum identities for Cartan matrices of type Dk
    2025/12/08 by Wang, Liuquan, Wang, Shangwen · 1 citation
    #05A30 #11F03 #11P84 #33D15 #33D60 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  2. Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples
    2025/08/17 by Zhineng Cao, Liuquan Wang, Cao, Zhineng +1 · 3 citations
    Mathematics · #05A30 #11F03 #11P84 #33D15 #33D60 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  3. Modularity of tadpole Nahm sums in ranks 4 and 5
    2025/04/24 by Shi, Changsong, Wang, Liuquan · 4 citations
    #11F03 #11P84 #33D15 #33D45 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  4. Rogers--Ramanujan Type Identities for Rank Two Partial Nahm Sums
    2025/02/26 by Liuquan Wang, Wang, Liuquan, Zeng, Wentao · 1 citation
    Computer Science · Mathematics · #11F03 #11P84 #33D15 #33D60 #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #Number Theory (math.NT)
  5. Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation
    2024/12/20 by Zhineng Cao, Cao, Zhineng, Liuquan Wang +1 · 3 citations
    Mathematics · #11F03 #11P84 #33D15 #33D60 #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Mathematics and Applications #Number Theory (math.NT)
  6. Proofs of Mizuno's Conjectures on Rank Three Nahm Sums of Index (1,2,2)
    2024/07/31 by Wang, Boxue, Wang, Liuquan · 3 citations
    #05A30 #11F03 #11P84 #33D15 #33D60 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  7. Congruences modulo powers of 5 and 7 for the crank and rank parity functions and related mock theta functions
    2024/06/24 by Chen, Dandan, Chen, Rong, Garvan, Frank · 4 citations
    #05A17 #11F33 #11F37 #11P83 #33D15 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  8. Rogers-Ramanujan type identities involving double, triple and quadruple sums
    2023/06/29 by Li, Zhi, Wang, Liuquan · 2 citations
    #11F03 #11P84 #33D15 #33D60 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  9. On Some Double Nahm Sums of Zagier
    2023/03/02 by Zhineng Cao, Cao, Zhineng, Hjalmar Rosengren +3 · 5 citations
    Mathematics · #11P84 #33D15 #33D45 #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT)
  10. Identities on Zagier's rank two examples for Nahm's problem
    2022/10/19 by Wang, Liuquan · 5 citations
    #11F03 #11P84 #33D15 #33D60 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  11. Nonterminating transformations and summations associated with some q-Mellin--Barnes integrals
    2022/06/10 by Cohl, Howard S., Costas-Santos, Roberto S. · 1 citation
    #33D15 #33D60 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  12. New Proofs of Some Double Sum Rogers-Ramanujan Type Identities
    2022/03/29 by Liuquan Wang, Wang, Liuquan · 1 citation
    Mathematics · #11B65 #11P84 #33D15 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  13. Recurrence equations involving different orthogonal polynomial sequences and applications
    2021/10/25 by A. Jooste, Daniel Duviol Tcheutia, Jooste, A. S. +3 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #33C05 #33C45 #33D15 #33F10 #Classical Analysis and ODEs (math.CA) #Electromagnetic Scattering and Analysis #FOS: Mathematics #Mathematical functions and polynomials #Polynomial and algebraic computation
  14. Transformation formulas and three-term relations for basic hypergeometric series
    2018/02/25 by Suzuki, Yuka · 1 citation
    #33D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  15. q-Analogues of two Ramanujan-type formulas for 1/π
    2018/02/06 by Victor J. W. Guo, Ji-Cai Liu, Guo, Victor J. W. +1 · 1 citation
    Mathematics · #05A10 #11B65 #33D15 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  16. New Proofs of Ramanujan's Identities on False Theta Functions
    2018/01/24 by Liuquan Wang, Wang, Liuquan · 1 citation
    Mathematics · #11P83 #33D15 #Advanced Mathematical Identities #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)
  17. Study of q-Garnier system by Padé method
    2016/01/06 by Nagao, Hidehito, Yamada, Yasuhiko · 1 citation
    #14H70 #33D15 #33D70 #34M55 #37K20 #39A13 #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  18. On partitions with fixed number of even-indexed and odd-indexed odd parts
    2015/10/25 by Berkovich, Alexander, Uncu, Ali Kemal · 1 citation
    #05A15 #05A17 #05A19 #11B34 #11B37 #11B75 #11P81 #11P83 #33D15 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  19. A generalization of starlike functions of order alpha
    2014/04/15 by Agrawal, Sarita, Sahoo, Swadesh K. · 1 citation
    #28A25 #30B10 #30C45 #30C50 #30C55 #33B10 #33C05 #33D15 #39A13 #39A70 #40A20 #44A05 #44A15 #46G05 #47B38 #47B39 #Complex Variables (math.CV) #FOS: Mathematics
  20. Special functions and spectrum of Jacobi matrices
    2013/01/10 by Stampach, Frantisek, Stovicek, Pavel · 1 citation
    #33D15 #39A70 #47A10 #47B36 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
  21. On local solutions of the Ramanujan equation and their connection formulae
    2012/03/15 by Morita, Takeshi · 1 citation
    #33D15 #34M40 #39A13 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  22. Rank-Crank type PDEs and generalized Lambert series identities
    2012/01/08 by Chan, Song Heng, Dixit, Atul, Garvan, Frank G. · 2 citations
    #11F11 #11P82 #11P83 #33D15 #FOS: Mathematics #Number Theory (math.NT)
  23. Partial theta functions and mock modular forms as q-hypergeometric series
    2011/09/29 by Bringmann, Kathrin, Folsom, Amanda, Rhoades, Robert C. · 1 citation
    #11F27 #11F37 #33D15 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  24. A connection formula between the Ramanujan function and the q-Airy function
    2011/04/05 by Morita, Takeshi · 1 citation
    #33D15 #34M40 #39A13 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  25. Higher Order SPT-Functions
    2010/08/06 by Garvan, F. G. · 1 citation
    #05A17 #11F33 #11P82 #11P83 #33D15 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  26. Partitions weighted by the parity of the crank
    2007/03/09 by Choi, Dohoon, Kang, Soon-Yi, Lovejoy, Jeremy · 1 citation
    #05A17 #11F11 #11P81 #11P82 #11P83 #33D15 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  27. Bailey Type Transforms and Applications
    2007/01/07 by Joshi, C. M., Vyas, Yashoverdhan · 1 citation
    #05A19 #33D15 #33D70 #33D90 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics
  28. Some Observations on Dyson's New Symmetries of Partitions
    2002/03/12 by Alexander Bérkovich, Alexander Berkovich, Frank Garvan +3 · 1 citation
    Mathematics · #05A17 #11P81 #11P83 #33D15 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Quantum Algebra (math.QA) #math.CO #math.NT #math.QA #msc:05A17 #msc:11P81 #msc:11P83 #msc:33D15