Cao, Jian; Arjika, Sama; Chaudhary, M. P. On Rogers-Ramanujan-Slater type theta function identity. (English) Zbl 07743254 J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 29-36 (2023). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 11P84 11F27 05A30 11B65 33D15 33D45 33D60 39A13 39B32 PDFBibTeX XMLCite \textit{J. Cao} et al., J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 29--36 (2023; Zbl 07743254) Full Text: DOI Link
Kurşungöz, Kağan; Zadehdabbagh, Mohammad Modulo \(d\) extension of parity results in Rogers-Ramanujan-Gordon type overpartition identities. (English) Zbl 1519.05022 Int. J. Number Theory 19, No. 8, 1833-1852 (2023). MSC: 05A17 11P84 05A15 05A19 PDFBibTeX XMLCite \textit{K. Kurşungöz} and \textit{M. Zadehdabbagh}, Int. J. Number Theory 19, No. 8, 1833--1852 (2023; Zbl 1519.05022) Full Text: DOI arXiv
Armstrong, Liam; Ducasse, Bryan; Meyer, Thomas; Swisher, Holly Generalized Alder-type partition inequalities. (English) Zbl 1516.05008 Electron. J. Comb. 30, No. 2, Research Paper P2.36, 16 p. (2023). MSC: 05A17 05A20 11P81 11P84 PDFBibTeX XMLCite \textit{L. Armstrong} et al., Electron. J. Comb. 30, No. 2, Research Paper P2.36, 16 p. (2023; Zbl 1516.05008) Full Text: DOI arXiv
Keith, William J.; Zanello, Fabrizio Parity of the coefficients of certain eta-quotients. II: The case of even-regular partitions. (English) Zbl 1525.11121 J. Number Theory 251, 84-101 (2023). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P83 05A17 11P84 11P82 11F33 PDFBibTeX XMLCite \textit{W. J. Keith} and \textit{F. Zanello}, J. Number Theory 251, 84--101 (2023; Zbl 1525.11121) Full Text: DOI arXiv
Andrews, George E.; van Ekeren, Jethro; Heluani, Reimundo The singular support of the Ising model. (English) Zbl 1519.17032 Int. Math. Res. Not. 2023, No. 10, 8800-8831 (2023). Reviewer: Vijay Yadav (Virar) MSC: 17B69 05A30 82B20 33D15 11P84 PDFBibTeX XMLCite \textit{G. E. Andrews} et al., Int. Math. Res. Not. 2023, No. 10, 8800--8831 (2023; Zbl 1519.17032) Full Text: DOI arXiv
Rosengren, Hjalmar Proofs of some partition identities conjectured by Kanade and Russell. (English) Zbl 1523.11189 Ramanujan J. 61, No. 1, 295-317 (2023). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 33D15 33D45 PDFBibTeX XMLCite \textit{H. Rosengren}, Ramanujan J. 61, No. 1, 295--317 (2023; Zbl 1523.11189) Full Text: DOI arXiv
Chern, Shane Asymmetric Rogers-Ramanujan type identities. I: The Andrews-Uncu conjecture. (English) Zbl 1523.11188 Proc. Am. Math. Soc. 151, No. 8, 3269-3279 (2023). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11P84 05A17 33D60 PDFBibTeX XMLCite \textit{S. Chern}, Proc. Am. Math. Soc. 151, No. 8, 3269--3279 (2023; Zbl 1523.11188) Full Text: DOI arXiv
Wei, Chuanan; Yu, Yuanbo; Hu, Qiuxia Two generalizations of Jacobi’s triple product identity and their applications. (English) Zbl 1519.11020 Ramanujan J. 60, No. 4, 925-937 (2023). Reviewer: İlker İnam (Bilecik) MSC: 11F03 11B65 11F27 PDFBibTeX XMLCite \textit{C. Wei} et al., Ramanujan J. 60, No. 4, 925--937 (2023; Zbl 1519.11020) Full Text: DOI
Sun, Lisa H. Rogers-Ramanujan type identities and Chebyshev polynomials of the third kind. (English) Zbl 1511.05016 Ramanujan J. 60, No. 3, 761-794 (2023). MSC: 05A19 33D15 PDFBibTeX XMLCite \textit{L. H. Sun}, Ramanujan J. 60, No. 3, 761--794 (2023; Zbl 1511.05016) Full Text: DOI arXiv
Aygin, Zafer Selcuk Rogers-Ramanujan type generalized reciprocal identities and Eisenstein series. (English) Zbl 1512.11036 Res. Number Theory 9, No. 1, Paper No. 2, 16 p. (2023). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F11 11M36 11P84 PDFBibTeX XMLCite \textit{Z. S. Aygin}, Res. Number Theory 9, No. 1, Paper No. 2, 16 p. (2023; Zbl 1512.11036) Full Text: DOI
Dixit, Atul; Goswami, Ankush Combinatorial identities associated with a bivariate generating function for overpartition pairs. (English) Zbl 1507.11090 Adv. Appl. Math. 143, Article ID 102444, 23 p. (2023). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 11P84 33D15 05A17 11F37 PDFBibTeX XMLCite \textit{A. Dixit} and \textit{A. Goswami}, Adv. Appl. Math. 143, Article ID 102444, 23 p. (2023; Zbl 1507.11090) Full Text: DOI arXiv
Cao, Jian; Arjika, Sama; Chaudhary, M. P. A note on Rogers-Ramanujan-Slater type theta function identity. (English) Zbl 1517.11130 J. Ramanujan Soc. Math. Math. Sci. 10, No. 1, 31-38 (2022). MSC: 11P84 11F27 05A30 33D15 33D45 33D60 39A13 39B32 PDFBibTeX XMLCite \textit{J. Cao} et al., J. Ramanujan Soc. Math. Math. Sci. 10, No. 1, 31--38 (2022; Zbl 1517.11130) Full Text: DOI Link
Rana, M.; Sharma, S. \((n + t)\)-color analogue of Gordon’s theorem. (English) Zbl 1506.05022 J. Ramanujan Math. Soc. 37, No. 4, 411-417 (2022). MSC: 05A17 05A19 05A15 11P84 PDFBibTeX XMLCite \textit{M. Rana} and \textit{S. Sharma}, J. Ramanujan Math. Soc. 37, No. 4, 411--417 (2022; Zbl 1506.05022) Full Text: Link
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 PDFBibTeX XMLCite \textit{S. Chern}, Rocky Mt. J. Math. 52, No. 6, 2009--2026 (2022; Zbl 1506.05019) Full Text: DOI Link
Yi, Jinhee; Paek, Dae Hyun Evaluations of the Rogers-Ramanujan continued fraction by theta-function identities revisited. (English) Zbl 1498.11122 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 29, No. 3, 245-254 (2022). MSC: 11F27 33C90 11F20 33C05 33C75 PDFBibTeX XMLCite \textit{J. Yi} and \textit{D. H. Paek}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 29, No. 3, 245--254 (2022; Zbl 1498.11122) Full Text: DOI
Chaudhary, M. P.; Kumar, Vinesh; Quraishi, Kaleem Ahmed A family of theta-function identities involving \(R_\alpha\) and \(R_m\)-functions related to Jacobi’s triple-product identity. (English) Zbl 1495.11056 Palest. J. Math. 11, No. 2, 177-186 (2022). MSC: 11F27 05A17 05A30 11P84 PDFBibTeX XMLCite \textit{M. P. Chaudhary} et al., Palest. J. Math. 11, No. 2, 177--186 (2022; Zbl 1495.11056) Full Text: Link
Merca, Mircea On two truncated quintuple series theorems. (English) Zbl 1512.11031 Exp. Math. 31, No. 2, 606-610 (2022). Reviewer: Uğur Duran (Iskenderun) MSC: 11B75 05A17 05A19 05A20 11P84 PDFBibTeX XMLCite \textit{M. Merca}, Exp. Math. 31, No. 2, 606--610 (2022; Zbl 1512.11031) 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 PDFBibTeX XMLCite \textit{I. Konan}, J. Comb. Theory, Ser. A 191, Article ID 105640, 58 p. (2022; Zbl 1493.05027) Full Text: DOI arXiv
Chu, Wenchang \(q\)-binomial sums toward Euler’s pentagonal number theorem. (English) Zbl 1516.11024 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1545-1557 (2022). MSC: 11B65 33D15 11P84 PDFBibTeX XMLCite \textit{W. Chu}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1545--1557 (2022; Zbl 1516.11024) Full Text: DOI
Bhoria, Subhash Chand; Eyyunni, Pramod; Maji, Bibekananda Generalization of five \(q\)-series identities of Ramanujan and unexplored weighted partition identities. (English) Zbl 1489.11158 Ramanujan J. 58, No. 2, 435-462 (2022). MSC: 11P81 11P84 05A17 PDFBibTeX XMLCite \textit{S. C. Bhoria} et al., Ramanujan J. 58, No. 2, 435--462 (2022; Zbl 1489.11158) Full Text: DOI arXiv
Keith, William J.; Zanello, Fabrizio Parity of the coefficients of certain eta-quotients. (English) Zbl 1491.11096 J. Number Theory 235, 275-304 (2022). Reviewer: Victor Wang (Princeton) MSC: 11P83 05A17 11P84 11P82 11F33 PDFBibTeX XMLCite \textit{W. J. Keith} and \textit{F. Zanello}, J. Number Theory 235, 275--304 (2022; Zbl 1491.11096) Full Text: DOI arXiv
Kim, Byungchan; Kim, Ji Young; Lee, Chong Gyu; Lee, Sang June; Park, Poo-Sung On the existence of Graham partitions with congruence conditions. (English) Zbl 1491.11091 Bull. Korean Math. Soc. 59, No. 1, 15-25 (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 05A17 PDFBibTeX XMLCite \textit{B. Kim} et al., Bull. Korean Math. Soc. 59, No. 1, 15--25 (2022; Zbl 1491.11091) Full Text: DOI
Capparelli, S.; Del Fra, A.; Mercuri, P.; Vietri, A. Some partition and analytical identities arising from the Alladi, Andrews, Gordon bijection. (English) Zbl 1485.11150 Ramanujan J. 57, No. 1, 175-188 (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 05A17 11P82 11P83 PDFBibTeX XMLCite \textit{S. Capparelli} et al., Ramanujan J. 57, No. 1, 175--188 (2022; Zbl 1485.11150) Full Text: DOI arXiv
Paek, Dae Hyun Evaluations of the Rogers-Ramanujan continued fraction by theta-function identities. (English) Zbl 1496.11066 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 28, No. 4, 377-386 (2021). MSC: 11F27 33C90 11F20 33C05 33C75 PDFBibTeX XMLCite \textit{D. H. Paek}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 28, No. 4, 377--386 (2021; Zbl 1496.11066) Full Text: DOI
Tang, Dazhao On 5- and 10-dissections for some infinite products. (English) Zbl 1478.11067 Ramanujan J. 56, No. 2, 425-450 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11F27 11B65 30B10 PDFBibTeX XMLCite \textit{D. Tang}, Ramanujan J. 56, No. 2, 425--450 (2021; Zbl 1478.11067) Full Text: DOI
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 PDFBibTeX XMLCite \textit{K. Kurşungöz}, Discrete Math. 344, No. 11, Article ID 112563, 31 p. (2021; Zbl 1475.11185) Full Text: DOI arXiv
Zanello, Fabrizio Deducing the positive odd density of \(p(n)\) from that of a multipartition function: an unconditional proof. (English) Zbl 1484.11203 J. Number Theory 229, 277-281 (2021). Reviewer: Donna Q. J. Dou (Changchun) MSC: 11P83 05A17 11P84 11F33 PDFBibTeX XMLCite \textit{F. Zanello}, J. Number Theory 229, 277--281 (2021; Zbl 1484.11203) Full Text: DOI arXiv
Saikia, Nipen Partition-theoretic interpretations of some \(q\)-series identities of Ramanujan. (English) Zbl 1474.11181 Kuwait J. Sci. 48, No. 2, Article 2, 6 p. (2021). MSC: 11P84 05A30 11F27 PDFBibTeX XMLCite \textit{N. Saikia}, Kuwait J. Sci. 48, No. 2, Article 2, 6 p. (2021; Zbl 1474.11181) Full Text: DOI
Alegri, Mateus; Ferreira Santos, Wagner; Brito Silva, Samuel Combinatorial interpretations for identities using chromatic partitions. (English) Zbl 07361084 Czech. Math. J. 71, No. 2, 545-553 (2021). Reviewer: Stefano Capparelli (Roma) MSC: 05A17 11P82 11P84 PDFBibTeX XMLCite \textit{M. Alegri} et al., Czech. Math. J. 71, No. 2, 545--553 (2021; Zbl 07361084) Full Text: DOI
Chaudhary, M. P.; Chaudhary, Sangeeta A family of theta-function identities involving \(R_\alpha\), \(R_\beta\) and \(R_m\)-functions related to Jacobi’s triple-product identity. (English) Zbl 1465.05018 J. Contemp. Appl. Math. 11, No. 1, 32-43 (2021). MSC: 11F27 05A17 05A30 11P84 PDFBibTeX XMLCite \textit{M. P. Chaudhary} and \textit{S. Chaudhary}, J. Contemp. Appl. Math. 11, No. 1, 32--43 (2021; Zbl 1465.05018) Full Text: Link
Coelho, Terence; Kim, Jongwon; Russell, Matthew C. A complete generalization of Göllnitz’s “big” theorem. (English) Zbl 1462.05028 Ramanujan J. 55, No. 1, 73-102 (2021). MSC: 05A17 05A15 11P81 11P84 PDFBibTeX XMLCite \textit{T. Coelho} et al., Ramanujan J. 55, No. 1, 73--102 (2021; Zbl 1462.05028) Full Text: DOI
Konan, Isaac Beyond Göllnitz’ theorem. I: A bijective approach. (English) Zbl 1459.05017 J. Comb. Theory, Ser. A 180, Article ID 105426, 27 p. (2021). MSC: 05A19 05A30 11B65 PDFBibTeX XMLCite \textit{I. Konan}, J. Comb. Theory, Ser. A 180, Article ID 105426, 27 p. (2021; Zbl 1459.05017) Full Text: DOI arXiv
Chaudhary, M. P.; Chaudhary, Sangeeta On relationships between \(q\)-products identities, \(R_\alpha\), \(R_\beta\) and \(R_m\) functions related to Jacobi’s triple-product identity. (English) Zbl 1474.11112 Math. Morav. 24, No. 2, 133-144 (2020). MSC: 11F27 11P83 05A17 05A30 PDFBibTeX XMLCite \textit{M. P. Chaudhary} and \textit{S. Chaudhary}, Math. Morav. 24, No. 2, 133--144 (2020; Zbl 1474.11112) Full Text: DOI
Chaudhary, M. P.; Chaudhary, Sangeeta; Minz, Sonajharia On relationships between \(q\)-product identities and combinatorial partition identities. (English) Zbl 1474.05023 Math. Morav. 24, No. 1, 83-91 (2020). MSC: 05A30 05A19 11F27 05A17 11P83 PDFBibTeX XMLCite \textit{M. P. Chaudhary} et al., Math. Morav. 24, No. 1, 83--91 (2020; Zbl 1474.05023) Full Text: DOI
Chaudhary, Mahendra Pal A family of theta-function identities based upon \(R_{\alpha}\), \(R_{\beta}\) and \(R_M\)-functions related to Jacobi’s triple-product identity. (English) Zbl 1474.11111 Publ. Inst. Math., Nouv. Sér. 108(122), 23-32 (2020). MSC: 11F27 11P83 05A17 05A30 PDFBibTeX XMLCite \textit{M. P. Chaudhary}, Publ. Inst. Math., Nouv. Sér. 108(122), 23--32 (2020; Zbl 1474.11111) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. D. M. Sang} et al., J. Number Theory 215, 297--320 (2020; Zbl 1444.05015) Full Text: DOI
Kang, Soon-Yi; Park, Eun Young An analogue of Alder-Andrews conjecture generalizing the 2nd Rogers-Ramanujan identity. (English) Zbl 1440.05041 Discrete Math. 343, No. 7, Article ID 111882, 5 p. (2020). MSC: 05A19 05A17 PDFBibTeX XMLCite \textit{S.-Y. Kang} and \textit{E. Y. Park}, Discrete Math. 343, No. 7, Article ID 111882, 5 p. (2020; Zbl 1440.05041) Full Text: DOI
Bai, Yuzhe; Gorsky, Eugene; Kivinen, Oscar Quadratic ideals and Rogers-Ramanujan recursions. (English) Zbl 1468.13032 Ramanujan J. 52, No. 1, 67-89 (2020). Reviewer: Anda-Georgina Olteanu (Constanţa) MSC: 13D02 13P10 05A19 PDFBibTeX XMLCite \textit{Y. Bai} et al., Ramanujan J. 52, No. 1, 67--89 (2020; Zbl 1468.13032) Full Text: DOI arXiv
Chern, Shane; Fu, Shishuo; Tang, Dazhao Multi-dimensional \(q\)-summations and multi-colored partitions. (English) Zbl 1434.05011 Ramanujan J. 51, No. 2, 297-306 (2020). MSC: 05A17 05A19 11P84 11P81 PDFBibTeX XMLCite \textit{S. Chern} et al., Ramanujan J. 51, No. 2, 297--306 (2020; Zbl 1434.05011) Full Text: DOI arXiv
Kanade, Shashank; Nandi, Debajyoti; Russell, Matthew C. A variant of IdentityFinder and some new identities of Rogers-Ramanujan-MacMahon type. (English) Zbl 1433.05021 Ann. Comb. 23, No. 3-4, 807-834 (2019). MSC: 05A15 05A17 11P84 17B69 PDFBibTeX XMLCite \textit{S. Kanade} et al., Ann. Comb. 23, No. 3--4, 807--834 (2019; Zbl 1433.05021) Full Text: DOI arXiv
Andrews, George E. Dyson’s “favorite” identity and Chebyshev polynomials of the third and fourth kind. (English) Zbl 1433.05027 Ann. Comb. 23, No. 3-4, 443-464 (2019). MSC: 05A17 05A19 05A30 11P83 11P84 PDFBibTeX XMLCite \textit{G. E. Andrews}, Ann. Comb. 23, No. 3--4, 443--464 (2019; Zbl 1433.05027) Full Text: DOI
Dousse, Jehanne; Lovejoy, Jeremy Generalizations of Capparelli’s identity. (English) Zbl 1430.11144 Bull. Lond. Math. Soc. 51, No. 2, 193-206 (2019). Reviewer: Shane Chern (University Park) MSC: 11P84 05A17 05A30 PDFBibTeX XMLCite \textit{J. Dousse} and \textit{J. Lovejoy}, Bull. Lond. Math. Soc. 51, No. 2, 193--206 (2019; Zbl 1430.11144) Full Text: DOI arXiv
Chu, Wenchang Summation formulae for twisted cubic \(q\)-series. (English) Zbl 1412.33029 Math. Methods Appl. Sci. 42, No. 6, 1831-1843 (2019). MSC: 33D15 05A30 PDFBibTeX XMLCite \textit{W. Chu}, Math. Methods Appl. Sci. 42, No. 6, 1831--1843 (2019; Zbl 1412.33029) Full Text: DOI
Guo, Yuhong Some identities related to compositions of positive integers without 2’s. (Chinese. English summary) Zbl 1424.05020 J. Dalian Univ. Technol. 58, No. 4, 437-440 (2018). MSC: 05A17 05A19 11P84 05A15 PDFBibTeX XMLCite \textit{Y. Guo}, J. Dalian Univ. Technol. 58, No. 4, 437--440 (2018; Zbl 1424.05020) Full Text: DOI
Guo, Yuhong Some identities for the part 1 of integer compositions. (Chinese. English summary) Zbl 1413.05021 J. Northeast Norm. Univ., Nat. Sci. Ed. 50, No. 1, 15-18 (2018). MSC: 05A17 05A19 11P84 11B39 PDFBibTeX XMLCite \textit{Y. Guo}, J. Northeast Norm. Univ., Nat. Sci. Ed. 50, No. 1, 15--18 (2018; Zbl 1413.05021) Full Text: DOI
Jang, Min-Joo; Lovejoy, Jeremy Identities for overpartitions with even smallest parts. (English) Zbl 1456.11197 Int. J. Number Theory 14, No. 7, 2023-2033 (2018). Reviewer: Mihály Szalay (Budapest) MSC: 11P81 11P84 PDFBibTeX XMLCite \textit{M.-J. Jang} and \textit{J. Lovejoy}, Int. J. Number Theory 14, No. 7, 2023--2033 (2018; Zbl 1456.11197) Full Text: DOI
Munagi, Augustine O.; Nyirenda, Darlison On partitions with initial repetitions. (English) Zbl 1395.05020 Ramanujan J. 46, No. 2, 389-402 (2018). Reviewer: Stefano Capparelli (Roma) MSC: 05A17 11P84 05A19 PDFBibTeX XMLCite \textit{A. O. Munagi} and \textit{D. Nyirenda}, Ramanujan J. 46, No. 2, 389--402 (2018; Zbl 1395.05020) Full Text: DOI
Judge, Samuel D.; Zanello, Fabrizio On the density of the odd values of the partition function. II: An infinite conjectural framework. (English) Zbl 1440.11196 J. Number Theory 188, 357-370 (2018). MSC: 11P83 05A17 11P84 11P82 11F33 PDFBibTeX XMLCite \textit{S. D. Judge} and \textit{F. Zanello}, J. Number Theory 188, 357--370 (2018; Zbl 1440.11196) Full Text: DOI arXiv
Fu, Shishuo; Tang, Dazhao Partitions with fixed largest hook length. (English) Zbl 1379.05009 Ramanujan J. 45, No. 2, 375-390 (2018). MSC: 05A17 05A15 05A19 11A07 11B39 PDFBibTeX XMLCite \textit{S. Fu} and \textit{D. Tang}, Ramanujan J. 45, No. 2, 375--390 (2018; Zbl 1379.05009) Full Text: DOI arXiv
Dousse, Jehanne; Lovejoy, Jeremy On a Rogers-Ramanujan type identity from crystal base theory. (English) Zbl 1375.05018 Proc. Am. Math. Soc. 146, No. 1, 55-67 (2018). MSC: 05A17 11P81 11P84 PDFBibTeX XMLCite \textit{J. Dousse} and \textit{J. Lovejoy}, Proc. Am. Math. Soc. 146, No. 1, 55--67 (2018; Zbl 1375.05018) Full Text: DOI arXiv
Srivastava, Bhaskar A new form of the quintuple product identity and its application. (English) Zbl 1488.11016 Filomat 31, No. 7, 1869-1873 (2017). MSC: 11A55 11P84 PDFBibTeX XMLCite \textit{B. Srivastava}, Filomat 31, No. 7, 1869--1873 (2017; Zbl 1488.11016) Full Text: DOI
Cooper, Shaun; Lam, Heung Yeung Factorizations of theta function identities. (English) Zbl 1423.11080 N. Z. J. Math. 47, 9-21 (2017). MSC: 11F11 05A19 11P83 PDFBibTeX XMLCite \textit{S. Cooper} and \textit{H. Y. Lam}, N. Z. J. Math. 47, 9--21 (2017; Zbl 1423.11080)
Hirschhorn, Michael D. The power of \(q\). A personal journey. (English) Zbl 1456.11001 Developments in Mathematics 49. Cham: Springer (ISBN 978-3-319-57761-6/hbk; 978-3-319-57762-3/ebook). xxii, 415 p. (2017). MSC: 11-02 11-03 11P81 11P83 11P84 05A17 05A19 05A30 11A55 11B65 33D15 PDFBibTeX XMLCite \textit{M. D. Hirschhorn}, The power of \(q\). A personal journey. Cham: Springer (2017; Zbl 1456.11001) Full Text: DOI
Dousse, Jehanne; Kim, Byungchan An overpartition analogue of the \(q\)-binomial coefficients. (English) Zbl 1356.05012 Ramanujan J. 42, No. 2, 267-283 (2017). MSC: 05A17 05A10 11P81 11P84 PDFBibTeX XMLCite \textit{J. Dousse} and \textit{B. Kim}, Ramanujan J. 42, No. 2, 267--283 (2017; Zbl 1356.05012) Full Text: DOI arXiv
Dousse, Jehanne Siladić’s theorem: weighted words, refinement and companion. (English) Zbl 1357.05010 Proc. Am. Math. Soc. 145, No. 5, 1997-2009 (2017). MSC: 05A17 11P84 PDFBibTeX XMLCite \textit{J. Dousse}, Proc. Am. Math. Soc. 145, No. 5, 1997--2009 (2017; Zbl 1357.05010) Full Text: DOI arXiv
Guo, Yuhong; Wang, Rujun Some identities related to the self-inverse \(n\)-color compositions. (Chinese. English summary) Zbl 1363.05007 Acta Math. Sin., Chin. Ser. 59, No. 4, 535-544 (2016). MSC: 05A17 05A19 11P84 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{R. Wang}, Acta Math. Sin., Chin. Ser. 59, No. 4, 535--544 (2016; Zbl 1363.05007)
Cooper, Shaun; Ye, Dongxi The level 12 analogue of Ramanujan’s function \(k\). (English) Zbl 1404.11040 J. Aust. Math. Soc. 101, No. 1, 29-53 (2016). MSC: 11F11 05A10 33C75 33E05 PDFBibTeX XMLCite \textit{S. Cooper} and \textit{D. Ye}, J. Aust. Math. Soc. 101, No. 1, 29--53 (2016; Zbl 1404.11040) Full Text: DOI
Kurşungöz, Kağan Bressoud style identities for regular partitions and overpartitions. (English) Zbl 1400.11135 J. Number Theory 168, 45-63 (2016). MSC: 11P84 05A17 11P83 11P81 PDFBibTeX XMLCite \textit{K. Kurşungöz}, J. Number Theory 168, 45--63 (2016; Zbl 1400.11135) Full Text: DOI arXiv
Adiga, Chandrashekar; Bulkhali, N. A. S.; Ranganatha, D.; Srivastava, H. M. Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions. (English) Zbl 1400.11134 J. Number Theory 158, 281-297 (2016). MSC: 11P82 11P83 33D15 33D90 PDFBibTeX XMLCite \textit{C. Adiga} et al., J. Number Theory 158, 281--297 (2016; Zbl 1400.11134) Full Text: DOI
Chaudhary, M. P.; Choi, Junesang Note on modular relations for the Roger-Ramanujan type identities and representations for Jacobian identity. (English) Zbl 1333.33022 East Asian Math. J. 31, No. 5, 659-665 (2015). MSC: 33D15 05A19 11P82 11P84 PDFBibTeX XMLCite \textit{M. P. Chaudhary} and \textit{J. Choi}, East Asian Math. J. 31, No. 5, 659--665 (2015; Zbl 1333.33022) Full Text: DOI
Martinjak, Ivica; Svrtan, Dragutin Some families of identities for the integer partition function. (English) Zbl 1331.05032 Math. Commun. 20, No. 2, 193-200 (2015). MSC: 05A17 11P84 PDFBibTeX XMLCite \textit{I. Martinjak} and \textit{D. Svrtan}, Math. Commun. 20, No. 2, 193--200 (2015; Zbl 1331.05032) Full Text: arXiv Link
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 PDFBibTeX XMLCite \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
Merca, Mircea The bisectional pentagonal number theorem. (English) Zbl 1326.11061 J. Number Theory 157, 223-232 (2015). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 11P81 11P83 11P84 05A17 05A19 PDFBibTeX XMLCite \textit{M. Merca}, J. Number Theory 157, 223--232 (2015; Zbl 1326.11061) Full Text: DOI
Cao, Jian; Cai, Tianxin \(q\)-difference equations of moment integrals for transformational identities and generating functions. (English) Zbl 1322.05007 J. Difference Equ. Appl. 20, No. 12, 1592-1608 (2014). MSC: 05A15 05A19 05A30 11B65 33C45 33D15 33D45 39A13 PDFBibTeX XMLCite \textit{J. Cao} and \textit{T. Cai}, J. Difference Equ. Appl. 20, No. 12, 1592--1608 (2014; Zbl 1322.05007) Full Text: DOI
Adiga, Chandrashekar; Vanitha, A. New modular relations for the Rogers-Ramanujan type functions of order fifteen. (English) Zbl 1325.33013 Notes Number Theory Discrete Math. 20, No. 1, 36-48 (2014). MSC: 33D15 11P83 PDFBibTeX XMLCite \textit{C. Adiga} and \textit{A. Vanitha}, Notes Number Theory Discrete Math. 20, No. 1, 36--48 (2014; Zbl 1325.33013)
Martinjak, Ivica; Svrtan, Dragutin New identities for the polarized partitions and partitions with \(d\)-distant parts. (English) Zbl 1360.11097 J. Integer Seq. 17, No. 11, Article 14.11.4, 9 p. (2014). MSC: 11P81 11P84 05A17 PDFBibTeX XMLCite \textit{I. Martinjak} and \textit{D. Svrtan}, J. Integer Seq. 17, No. 11, Article 14.11.4, 9 p. (2014; Zbl 1360.11097) Full Text: arXiv EMIS
Bulkhali, Nasser Abdo Saeed Identities analogous to Schröter’s formulas with applications to modular relations. (English) Zbl 1370.33018 Proc. Jangjeon Math. Soc. 17, No. 1, 83-105 (2014). MSC: 33D15 11F27 PDFBibTeX XMLCite \textit{N. A. S. Bulkhali}, Proc. Jangjeon Math. Soc. 17, No. 1, 83--105 (2014; Zbl 1370.33018)
Hirschhorn, Michael D. A short and simple proof of Ramanujan’s \(\mod 11\) partition congruence. (English) Zbl 1291.11128 J. Number Theory 139, 205-209 (2014). MSC: 11P81 11P84 PDFBibTeX XMLCite \textit{M. D. Hirschhorn}, J. Number Theory 139, 205--209 (2014; Zbl 1291.11128) Full Text: DOI
Folsom, Amanda Mock modular forms and \(d\)-distinct partitions. (English) Zbl 1286.11159 Adv. Math. 254, 682-705 (2014). MSC: 11P82 11P84 11F37 11F50 33D15 PDFBibTeX XMLCite \textit{A. Folsom}, Adv. Math. 254, 682--705 (2014; Zbl 1286.11159) Full Text: DOI
Zhang, Wenlong; Wang, Chun Ramanujan-type congruences for several partition functions. (English) Zbl 1292.05046 Int. J. Number Theory 10, No. 3, 641-652 (2014). Reviewer: Georg Muntingh (Oslo) MSC: 11P83 11P84 05A17 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{C. Wang}, Int. J. Number Theory 10, No. 3, 641--652 (2014; Zbl 1292.05046) Full Text: DOI
Dousse, Jehanne A combinatorial proof and refinement of a partition identity of Siladić. (English) Zbl 1284.05334 Eur. J. Comb. 39, 223-232 (2014). MSC: 05E15 05A19 17B67 PDFBibTeX XMLCite \textit{J. Dousse}, Eur. J. Comb. 39, 223--232 (2014; Zbl 1284.05334) Full Text: DOI arXiv
Sandon, Colin; Zanello, Fabrizio Warnaar’s bijection and colored partition identities. II. (English) Zbl 1284.05032 Ramanujan J. 33, No. 1, 83-120 (2014). MSC: 05A17 05A19 11P84 05A15 PDFBibTeX XMLCite \textit{C. Sandon} and \textit{F. Zanello}, Ramanujan J. 33, No. 1, 83--120 (2014; Zbl 1284.05032) Full Text: DOI arXiv
Adiga, Chandrashekar; Vanitha, A.; Bulkhali, Nasser Abdo Saeed Modular relations for the Rogers-Ramanujan-Slater type functions of order fifteen and its applications to partitions. (English) Zbl 1313.33014 Rom. J. Math. Comput. Sci. 3, No. 2, 119-139 (2013). MSC: 33D15 11P82 11P84 PDFBibTeX XMLCite \textit{C. Adiga} et al., Rom. J. Math. Comput. Sci. 3, No. 2, 119--139 (2013; Zbl 1313.33014)
Bulkhali, Nasser Abdo Saeed Identities analogous to Schröter’s formulas with applications to modular relations. (English) Zbl 1344.11067 Proc. Jangjeon Math. Soc. 16, No. 4, 535-558 (2013). MSC: 11P83 33D15 11F27 PDFBibTeX XMLCite \textit{N. A. S. Bulkhali}, Proc. Jangjeon Math. Soc. 16, No. 4, 535--558 (2013; Zbl 1344.11067)
Gorsky, Eugene; Oblomkov, Alexei; Rasmussen, Jacob On stable Khovanov homology of torus knots. (English) Zbl 1281.57003 Exp. Math. 22, No. 3, 265-281 (2013). MSC: 57M25 13D02 17B69 11P84 PDFBibTeX XMLCite \textit{E. Gorsky} et al., Exp. Math. 22, No. 3, 265--281 (2013; Zbl 1281.57003) 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 PDFBibTeX XMLCite \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
Guo, Victor J. W.; Zeng, Jiang Two truncated identities of Gauss. (English) Zbl 1259.05020 J. Comb. Theory, Ser. A 120, No. 3, 700-707 (2013). MSC: 05A15 05A17 11P84 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J. Zeng}, J. Comb. Theory, Ser. A 120, No. 3, 700--707 (2013; Zbl 1259.05020) Full Text: DOI arXiv
Sandon, Colin; Zanello, Fabrizio Warnaar’s bijection and colored partition identities. I. (English) Zbl 1253.05028 J. Comb. Theory, Ser. A 120, No. 1, 28-38 (2013). MSC: 05A17 05A19 11P84 PDFBibTeX XMLCite \textit{C. Sandon} and \textit{F. Zanello}, J. Comb. Theory, Ser. A 120, No. 1, 28--38 (2013; Zbl 1253.05028) Full Text: DOI arXiv
Singh, Satya Prakash; Yadav, Vijay; Priyanka, Singh On certain \(q\)-series identities. (English) Zbl 1370.11033 J. Ramanujan Soc. Math. Math. Sci. 1, No. 2, 95-104 (2012). MSC: 11B65 05A10 33D15 PDFBibTeX XMLCite \textit{S. P. Singh} et al., J. Ramanujan Soc. Math. Math. Sci. 1, No. 2, 95--104 (2012; Zbl 1370.11033) Full Text: Link
Ahmad Ali, S.; Rizvi, Syed Siddique Mustafa On continued fraction representations of certain function of hypergeometric type. (English) Zbl 1445.33025 J. Ramanujan Soc. Math. Math. Sci. 1, No. 2, 77-85 (2012). MSC: 33D15 11A55 PDFBibTeX XMLCite \textit{S. Ahmad Ali} and \textit{S. S. M. Rizvi}, J. Ramanujan Soc. Math. Math. Sci. 1, No. 2, 77--85 (2012; Zbl 1445.33025) Full Text: Link
Alladi, Krishnaswami Analysis of a generalized Lebesgue identity in Ramanujan’s lost notebook. (English) Zbl 1256.05011 Ramanujan J. 29, No. 1-3, 339-358 (2012). MSC: 05A17 11P84 11P81 PDFBibTeX XMLCite \textit{K. Alladi}, Ramanujan J. 29, No. 1--3, 339--358 (2012; Zbl 1256.05011) Full Text: DOI
Chen, William Y. C.; Du, Daniel K.; Mei, Charles B. Combinatorial telescoping for an identity of Andrews on parity in partitions. (English) Zbl 1268.05025 Eur. J. Comb. 33, No. 4, 510-518 (2012). MSC: 05A19 05A17 11P84 PDFBibTeX XMLCite \textit{W. Y. C. Chen} et al., Eur. J. Comb. 33, No. 4, 510--518 (2012; Zbl 1268.05025) Full Text: DOI arXiv
Cooper, Shaun; Hirschhorn, Michael D. Factorizations that involve Ramanujan’s function \(k(q)=r(q)r^2(q^2)\). (English) Zbl 1282.11028 Acta Math. Sin., Engl. Ser. 27, No. 12, 2301-2308 (2011). Reviewer: Jaebum Sohn (Seoul) MSC: 11F03 11F20 33E05 PDFBibTeX XMLCite \textit{S. Cooper} and \textit{M. D. Hirschhorn}, Acta Math. Sin., Engl. Ser. 27, No. 12, 2301--2308 (2011; Zbl 1282.11028) Full Text: DOI
Chu, Wenchang; Zhang, Wenlong Four classes of Rogers-Ramanujan identities with quintuple products. (English) Zbl 1234.33029 Hiroshima Math. J. 41, No. 1, 27-40 (2011). MSC: 33D15 11B65 11P84 PDFBibTeX XMLCite \textit{W. Chu} and \textit{W. Zhang}, Hiroshima Math. J. 41, No. 1, 27--40 (2011; Zbl 1234.33029)
Chan, Hei-Chi An invitation to \(q\)-series. From Jacobi’s triple product identity to Ramanujan’s “Most beautiful identity”. (English) Zbl 1245.33001 Hackensack, NJ: World Scientific (ISBN 978-981-4343-84-8/hbk; 978-981-4343-85-5/ebook). ix, 226 p. (2011). Reviewer: Anatoly Filip Grishin (Khar’kov) MSC: 33-02 PDFBibTeX XMLCite \textit{H.-C. Chan}, An invitation to \(q\)-series. From Jacobi's triple product identity to Ramanujan's ``Most beautiful identity''. Hackensack, NJ: World Scientific (2011; Zbl 1245.33001) Full Text: Link
Chen, William Y. C.; Sang, Doris D. M.; Shi, Diane Y. H. Anti-lecture Hall compositions and overpartitions. (English) Zbl 1231.05015 J. Comb. Theory, Ser. A 118, No. 4, 1451-1464 (2011). MSC: 05A17 PDFBibTeX XMLCite \textit{W. Y. C. Chen} et al., J. Comb. Theory, Ser. A 118, No. 4, 1451--1464 (2011; Zbl 1231.05015) Full Text: DOI arXiv
Chen, William Y. C.; Hou, Qing-Hu; Sun, Lisa H. The method of combinatorial telescoping. (English) Zbl 1232.05021 J. Comb. Theory, Ser. A 118, No. 3, 899-907 (2011). MSC: 05A19 05A30 PDFBibTeX XMLCite \textit{W. Y. C. Chen} et al., J. Comb. Theory, Ser. A 118, No. 3, 899--907 (2011; Zbl 1232.05021) Full Text: DOI arXiv
Fang, Jian-Ping Remarks on the finite Heine transformations. (English) Zbl 1249.05022 Ars Comb. 95, 25-32 (2010). MSC: 05A30 33D15 33D60 33D05 PDFBibTeX XMLCite \textit{J.-P. Fang}, Ars Comb. 95, 25--32 (2010; Zbl 1249.05022)
Boulet, Cilanne Dyson’s new symmetry and generalized Rogers-Ramanujan identities. (English) Zbl 1233.05036 Ann. Comb. 14, No. 2, 159-191 (2010). MSC: 05A19 11P84 05A17 PDFBibTeX XMLCite \textit{C. Boulet}, Ann. Comb. 14, No. 2, 159--191 (2010; Zbl 1233.05036) Full Text: DOI arXiv
Pang, Rongbo Partition identity and counting formulae between partitions and compositions. (Chinese. English summary) Zbl 1240.05017 J. Sichuan Norm. Univ., Nat. Sci. 33, No. 3, 312-316 (2010). MSC: 05A17 11P84 PDFBibTeX XMLCite \textit{R. Pang}, J. Sichuan Norm. Univ., Nat. Sci. 33, No. 3, 312--316 (2010; Zbl 1240.05017) Full Text: DOI
Zhang, Zhizheng; Zhang, Ying Some Rogers-Ramanujan-Bailey type identities. (English) Zbl 1240.05021 Chin. Q. J. Math. 25, No. 3, 327-334 (2010). MSC: 05A19 33D15 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{Y. Zhang}, Chin. Q. J. Math. 25, No. 3, 327--334 (2010; Zbl 1240.05021)
McLaughlin, James An identity motivated by an amazing identity of Ramanujan. (English) Zbl 1222.11038 Fibonacci Q. 48, No. 1, 34-38 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11B65 05A15 11P84 PDFBibTeX XMLCite \textit{J. McLaughlin}, Fibonacci Q. 48, No. 1, 34--38 (2010; Zbl 1222.11038) Full Text: arXiv Link
Husu, Cristiano The Jacobi identity for relative twisted vertex operators associated with the roots of the Lie algebras \(A_1^{(1)}\) and \(A_2^{(2)}\), and the generating function identities for level-\(k\) standard \(A_1^{(1)}\) and \(A_2^{(2)}\)-modules. (English) Zbl 1261.17028 Commun. Algebra 38, No. 6, 2000-2025 (2010). Reviewer: Miroslav Jerković (Zagreb) MSC: 17B69 PDFBibTeX XMLCite \textit{C. Husu}, Commun. Algebra 38, No. 6, 2000--2025 (2010; Zbl 1261.17028) Full Text: DOI
Rowell, Michael A new exploration of the Lebesgue identity. (English) Zbl 1213.05018 Int. J. Number Theory 6, No. 4, 785-798 (2010). Reviewer: Jeremy Lovejoy (Paris) MSC: 05A19 05A17 11P81 11P84 33D15 PDFBibTeX XMLCite \textit{M. Rowell}, Int. J. Number Theory 6, No. 4, 785--798 (2010; Zbl 1213.05018) Full Text: DOI
Lovejoy, Jeremy On identities involving the sixth order mock theta functions. (English) Zbl 1230.11072 Proc. Am. Math. Soc. 138, No. 7, 2547-2552 (2010). Reviewer: Tatiana Hessami Pilehrood (Mogilev) MSC: 11F99 33D15 11P84 PDFBibTeX XMLCite \textit{J. Lovejoy}, Proc. Am. Math. Soc. 138, No. 7, 2547--2552 (2010; Zbl 1230.11072) Full Text: DOI arXiv
Chan, Hei-Chi Ramanujan’s cubic continued fraction and an analog of his ”most beautiful identity”. (English) Zbl 1203.05008 Int. J. Number Theory 6, No. 3, 673-680 (2010). MSC: 11A55 11P84 05A30 05A40 33D15 PDFBibTeX XMLCite \textit{H.-C. Chan}, Int. J. Number Theory 6, No. 3, 673--680 (2010; Zbl 1203.05008) Full Text: DOI
Chu, Wenchang; Wang, Chenying Identities of Rogers-Ramanujan type via “\(\pm 1\)”. (English) Zbl 1191.11029 J. Comput. Anal. Appl. 12, No. 1A, 83-91 (2010). MSC: 11P84 33D15 05A30 PDFBibTeX XMLCite \textit{W. Chu} and \textit{C. Wang}, J. Comput. Anal. Appl. 12, No. 1A, 83--91 (2010; Zbl 1191.11029)
Fang, Jian-Ping Some applications of \(q\)-differential operator. (English) Zbl 1230.05048 J. Korean Math. Soc. 47, No. 2, 223-233 (2010). MSC: 05A30 33D15 33D60 33D05 PDFBibTeX XMLCite \textit{J.-P. Fang}, J. Korean Math. Soc. 47, No. 2, 223--233 (2010; Zbl 1230.05048) Full Text: DOI
Liu, Zhi-Guo; Yang, Xiao-Mei On the Schröter formula for theta functions. (English) Zbl 1185.33026 Int. J. Number Theory 5, No. 8, 1477-1488 (2009). Reviewer: Mehdi Hassani (Zanjan) MSC: 33E05 11F27 11P84 PDFBibTeX XMLCite \textit{Z.-G. Liu} and \textit{X.-M. Yang}, Int. J. Number Theory 5, No. 8, 1477--1488 (2009; Zbl 1185.33026) Full Text: DOI
Chu, Wenchang; Zhang, Wenlong Iteration method for multiple Rogers-Ramanujan identities. (English) Zbl 1179.33022 Kodai Math. J. 32, No. 3, 471-500 (2009). MSC: 33D15 05A15 11P84 PDFBibTeX XMLCite \textit{W. Chu} and \textit{W. Zhang}, Kodai Math. J. 32, No. 3, 471--500 (2009; Zbl 1179.33022) Full Text: DOI