Chern, Shane Asymmetric Rogers-Ramanujan type identities. I: The Andrews-Uncu conjecture. (English) Zbl 07688414 Proc. Am. Math. Soc. 151, No. 8, 3269-3279 (2023). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11P84 05A17 33D60 PDF BibTeX XML Cite \textit{S. Chern}, Proc. Am. Math. Soc. 151, No. 8, 3269--3279 (2023; Zbl 07688414) Full Text: DOI arXiv
Chern, Shane Linked partition ideals and Andrews-Gordon type series for Alladi and Gordon’s extension of Schur’s identity. (English) Zbl 1506.05019 Rocky Mt. J. Math. 52, No. 6, 2009-2026 (2022). MSC: 05A17 05A15 11P84 PDF BibTeX XML Cite \textit{S. Chern}, Rocky Mt. J. Math. 52, No. 6, 2009--2026 (2022; Zbl 1506.05019) Full Text: DOI Link
Vyas, Yashoverdhan; Fatawat, Kalpana Summations and transformations for very well-poised hypergeometric functions \(_{2q+5}F_{2q+4}(1)\) and \(_{2q+7}F_{2q+6}(1)\) with arbitrary integral parameter differences. (English) Zbl 1513.33024 Miskolc Math. Notes 23, No. 2, 957-973 (2022). MSC: 33C20 33C65 33C90 PDF BibTeX XML Cite \textit{Y. Vyas} and \textit{K. Fatawat}, Miskolc Math. Notes 23, No. 2, 957--973 (2022; Zbl 1513.33024) Full Text: DOI
Konan, Isaac Beyond Göllnitz’ theorem. II: Arbitrarily many primary colors. (English) Zbl 1493.05027 J. Comb. Theory, Ser. A 191, Article ID 105640, 58 p. (2022). MSC: 05A17 05A19 11P84 PDF BibTeX XML Cite \textit{I. Konan}, J. Comb. Theory, Ser. A 191, Article ID 105640, 58 p. (2022; Zbl 1493.05027) Full Text: DOI arXiv
Kurşungöz, Kağan Andrews-Gordon type series for Schur’s partition identity. (English) Zbl 1475.11185 Discrete Math. 344, No. 11, Article ID 112563, 31 p. (2021). MSC: 11P81 05A17 11P84 PDF BibTeX XML Cite \textit{K. Kurşungöz}, Discrete Math. 344, No. 11, Article ID 112563, 31 p. (2021; Zbl 1475.11185) Full Text: DOI arXiv
Wei, Chuanan; Gong, Dianxuan Several transformation formulas for basic hypergeometric series. (English) Zbl 1465.33013 J. Difference Equ. Appl. 27, No. 2, 157-171 (2021). MSC: 33D15 05A19 PDF BibTeX XML Cite \textit{C. Wei} and \textit{D. Gong}, J. Difference Equ. Appl. 27, No. 2, 157--171 (2021; Zbl 1465.33013) Full Text: DOI arXiv
Sang, Doris D. M.; Shi, Diane Y. H.; Yee, Ae Ja Parity considerations in Rogers-Ramanujan-Gordon type overpartitions. (English) Zbl 1444.05015 J. Number Theory 215, 297-320 (2020). MSC: 05A17 05A19 11P84 PDF BibTeX XML Cite \textit{D. D. M. Sang} et al., J. Number Theory 215, 297--320 (2020; Zbl 1444.05015) Full Text: DOI
Chu, Wenchang Finite differences and terminating hypergeometric series. (English) Zbl 1365.05026 Ir. Math. Soc. Bull. 78, 31-45 (2016). MSC: 05A19 33C20 PDF BibTeX XML Cite \textit{W. Chu}, Ir. Math. Soc. Bull. 78, 31--45 (2016; Zbl 1365.05026)
Sang, Doris D. M.; Shi, Diane Y. H. An Andrews-Gordon type identity for overpartitions. (English) Zbl 1322.05020 Ramanujan J. 37, No. 3, 653-679 (2015). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05A17 11P84 PDF BibTeX XML Cite \textit{D. D. M. Sang} and \textit{D. Y. H. Shi}, Ramanujan J. 37, No. 3, 653--679 (2015; Zbl 1322.05020) Full Text: DOI
Wang, Mingjin Probabilistic proofs of some \(q\)-identities. (English) Zbl 1305.05022 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 4, Article ID 1450023, 6 p. (2014). MSC: 05A30 33D15 60E05 PDF BibTeX XML Cite \textit{M. Wang}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 4, Article ID 1450023, 6 p. (2014; Zbl 1305.05022) Full Text: DOI
Alladi, Krishnaswami Partial theta identities of Ramanujan, Andrews, and Rogers-fine involving the squares. (English) Zbl 1316.05005 Berndt, Bruce C. (ed.) et al., The legacy of Srinivasa Ramanujan. Proceedings of the international conference in celebration of the 125th anniversary of Ramanujan’s birth, University of Delhi, Delhi, India, December 17–22, 2012. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-13-7/hbk). Ramanujan Mathematical Society Lecture Notes Series 20, 29-53 (2013). Reviewer: Ricardo Mamede (Coimbra) MSC: 05A15 05A17 05A19 PDF BibTeX XML Cite \textit{K. Alladi}, Ramanujan Math. Soc. Lect. Notes Ser. 20, 29--53 (2013; Zbl 1316.05005)
Wang, Mingjin A transformation for the Al-Salam-Carlitz polynomials. (English) Zbl 1313.05013 Ars Comb. 112, 411-418 (2013). MSC: 05A10 33D15 PDF BibTeX XML Cite \textit{M. Wang}, Ars Comb. 112, 411--418 (2013; Zbl 1313.05013)
Liu, Zhi-Guo On the \(q\)-derivative and \(q\)-series expansions. (English) Zbl 1284.05040 Int. J. Number Theory 9, No. 8, 2069-2089 (2013). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05A30 33D15 11E25 PDF BibTeX XML Cite \textit{Z.-G. Liu}, Int. J. Number Theory 9, No. 8, 2069--2089 (2013; Zbl 1284.05040) Full Text: DOI arXiv
Chen, William Y. C.; Sang, Doris D. M.; Shi, Diane Y. H. The Rogers-Ramanujan-Gordon theorem for overpartitions. (English) Zbl 1268.05021 Proc. Lond. Math. Soc. (3) 106, No. 6, 1371-1393 (2013). MSC: 05A17 11P84 11P81 PDF BibTeX XML Cite \textit{W. Y. C. Chen} et al., Proc. Lond. Math. Soc. (3) 106, No. 6, 1371--1393 (2013; Zbl 1268.05021) Full Text: DOI arXiv
Chen, William Y. C.; Liu, Eric H. A Franklin type involution for squares. (English) Zbl 1253.05026 Adv. Appl. Math. 49, No. 3-5, 271-284 (2012). MSC: 05A17 11P81 11B75 PDF BibTeX XML Cite \textit{W. Y. C. Chen} and \textit{E. H. Liu}, Adv. Appl. Math. 49, No. 3--5, 271--284 (2012; Zbl 1253.05026) Full Text: DOI arXiv
Beliakova, Anna; Le, Thang On the unification of quantum 3-manifold invariants. (English) Zbl 1255.57008 Kauffman, Louis H. (ed.) et al., Introductory lectures on knot theory. Selected lectures presented at the advanced school and conference on knot theory and its applications to physics and biology, ICTP, Trieste, Italy, May 11–29, 2009. Hackensack, NJ: World Scientific; Trieste: ICTP - The Abdus Salam International Centre for Theoretical Physics (ISBN 978-981-4307-99-4/hbk; 978-981-4313-00-1/ebook). Series on Knots and Everything 46, 1-21 (2012). MSC: 57M27 57-02 57N10 57M25 PDF BibTeX XML Cite \textit{A. Beliakova} and \textit{T. Le}, Ser. Knots Everything 46, 1--21 (2012; Zbl 1255.57008) Full Text: arXiv Link
Warnaar, S. Ole; Zudilin, Wadim Dedekind’s \(\eta \)-function and Rogers-Ramanujan identities. (English) Zbl 1234.05040 Bull. Lond. Math. Soc. 44, No. 1, 1-11 (2012). MSC: 05A19 05E05 11F20 33D67 PDF BibTeX XML Cite \textit{S. O. Warnaar} and \textit{W. Zudilin}, Bull. Lond. Math. Soc. 44, No. 1, 1--11 (2012; Zbl 1234.05040) Full Text: DOI arXiv
Brietzke, Eduardo H. M. An identity of Andrews and a new method for the Riordan array proof of combinatorial identities. (English) Zbl 1207.05010 Discrete Math. 308, No. 18, 4246-4262 (2008). MSC: 05A15 05A19 PDF BibTeX XML Cite \textit{E. H. M. Brietzke}, Discrete Math. 308, No. 18, 4246--4262 (2008; Zbl 1207.05010) Full Text: DOI arXiv
Chapman, Robin A probabilistic proof of the Andrews–Gordon identities. (English) Zbl 1081.11066 Discrete Math. 290, No. 1, 79-84 (2005). Reviewer: Herman J. Tiersma (Den Haag) MSC: 11P81 05A19 05A30 PDF BibTeX XML Cite \textit{R. Chapman}, Discrete Math. 290, No. 1, 79--84 (2005; Zbl 1081.11066) Full Text: DOI
Zudilin, V. V. Binomial sums related to rational approximations to \(\zeta(4)\). (English. Russian original) Zbl 1070.11029 Math. Notes 75, No. 4, 594-597 (2004); translation from Mat. Zametki 75, No. 4, 637-640 (2004). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11J99 33C20 PDF BibTeX XML Cite \textit{V. V. Zudilin}, Math. Notes 75, No. 4, 594--597 (2004; Zbl 1070.11029); translation from Mat. Zametki 75, No. 4, 637--640 (2004) Full Text: DOI arXiv
Liu, Zhi-Guo Some operator identities and \(q\)-series transformation formulas. (English) Zbl 1021.05010 Discrete Math. 265, No. 1-3, 119-139 (2003). Reviewer: K.Sakai (Kagoshima) MSC: 05A30 33D15 33D05 PDF BibTeX XML Cite \textit{Z.-G. Liu}, Discrete Math. 265, No. 1--3, 119--139 (2003; Zbl 1021.05010) Full Text: DOI
Liu, Zhi-Guo An expansion formula for \(q\)-series and applications. (English) Zbl 1044.05012 Ramanujan J. 6, No. 4, 429-447 (2002). MSC: 05A30 33D15 11E25 05A19 PDF BibTeX XML Cite \textit{Z.-G. Liu}, Ramanujan J. 6, No. 4, 429--447 (2002; Zbl 1044.05012) Full Text: DOI
Schilling, Anne; Warnaar, S. Ole A generalization of the \(q\)-Saalschütz sum and the Burge transform. (English) Zbl 0982.33009 Kashiwara, Masaki (ed.) et al., Physical combinatorics. Proceedings of a workshop, Kyoto, Japan, January 29 - February 2, 1999. Boston: Birkhäuser. Prog. Math. 191, 163-183 (2000). Reviewer: Christian Krattenthaler (Wien) MSC: 33D70 05A30 33D45 17B68 33D15 05A10 PDF BibTeX XML Cite \textit{A. Schilling} and \textit{S. O. Warnaar}, Prog. Math. 191, 163--183 (2000; Zbl 0982.33009) Full Text: arXiv
Bessenrodt, Christine Generalisations of the Andrews-Olsson partition identity and applications. (English) Zbl 0839.05009 Discrete Math. 141, No. 1-3, 11-22 (1995). Reviewer: K.Alladi (Gainesville) MSC: 05A17 05A19 11P81 11P83 PDF BibTeX XML Cite \textit{C. Bessenrodt}, Discrete Math. 141, No. 1--3, 11--22 (1995; Zbl 0839.05009) Full Text: DOI
Ekhad, Shalosh B.; Tre, Sol A purely verification proof of the first Rogers-Ramanujan identity. (English) Zbl 0702.05007 J. Comb. Theory, Ser. A 54, No. 2, 309-311 (1990). Reviewer: Ian Anderson MSC: 05A19 11B37 05A17 PDF BibTeX XML Cite \textit{S. B. Ekhad} and \textit{S. Tre}, J. Comb. Theory, Ser. A 54, No. 2, 309--311 (1990; Zbl 0702.05007) Full Text: DOI
Stembridge, John R. A short proof of Macdonald’s conjecture for the root system of type A. (English) Zbl 0645.10017 Proc. Am. Math. Soc. 102, No. 4, 777-786 (1988). Reviewer: D.M.Bressoud MSC: 11P81 05A17 17B20 PDF BibTeX XML Cite \textit{J. R. Stembridge}, Proc. Am. Math. Soc. 102, No. 4, 777--786 (1988; Zbl 0645.10017) Full Text: DOI
Richmond, Bruce; Szekeres, George Some formulas related to dilogarithms, the zeta function and the Andrews-Gordon identities. (English) Zbl 0471.10032 J. Aust. Math. Soc., Ser. A 31, 362-373 (1981). MSC: 11P84 11M06 33B30 PDF BibTeX XML Cite \textit{B. Richmond} and \textit{G. Szekeres}, J. Aust. Math. Soc., Ser. A 31, 362--373 (1981; Zbl 0471.10032)