Xia, Ernest X. W.; Yan, Fan; Yao, Olivia X. M. On the total number of ones of partitions associated to cranks. (English) Zbl 07762406 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 4, Paper No. 167, 23 p. (2023). Reviewer: Dazhao Tang (Chongqing) MSC: 11P81 05A17 PDFBibTeX XMLCite \textit{E. X. W. Xia} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 4, Paper No. 167, 23 p. (2023; Zbl 07762406) Full Text: DOI
Yao, Olivia X. M. New mock theta functions and formulas for basic hypergeometric series. (English) Zbl 07738152 Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 868-896 (2023). MSC: 33D15 05A30 11B65 11F11 PDFBibTeX XMLCite \textit{O. X. M. Yao}, Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 868--896 (2023; Zbl 07738152) Full Text: DOI
Yao, Olivia X. M. A characterization of congruences modulo 4 on a SPT function of overpartitions. (English) Zbl 1518.11068 Ramanujan J. 60, No. 3, 795-808 (2023). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11P81 05A17 PDFBibTeX XMLCite \textit{O. X. M. Yao}, Ramanujan J. 60, No. 3, 795--808 (2023; Zbl 1518.11068) Full Text: DOI
Yao, Olivia X. M. New families of mock theta functions and partial fraction decomposition. (English) Zbl 1520.11050 Adv. Appl. Math. 138, Article ID 102347, 33 p. (2022). Reviewer: Yilmaz Simsek (Antalya) MSC: 11F27 33D15 PDFBibTeX XMLCite \textit{O. X. M. Yao}, Adv. Appl. Math. 138, Article ID 102347, 33 p. (2022; Zbl 1520.11050) Full Text: DOI
Yao, Olivia X. M. Proof of a Lin-Peng-Toh’s conjecture on an Andrews-Beck type congruence. (English) Zbl 1483.11233 Discrete Math. 345, No. 1, Article ID 112672, 7 p. (2022). Reviewer: Shishuo Fu (Chongqing) MSC: 11P83 11P81 05A17 PDFBibTeX XMLCite \textit{O. X. M. Yao}, Discrete Math. 345, No. 1, Article ID 112672, 7 p. (2022; Zbl 1483.11233) Full Text: DOI
Yao, Olivia X. M. Proofs of Silva-Sellers’ conjectures on a mock theta function. (English) Zbl 1470.11267 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 170, 7 p. (2021). MSC: 11P83 05A17 11F27 PDFBibTeX XMLCite \textit{O. X. M. Yao}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 170, 7 p. (2021; Zbl 1470.11267) Full Text: DOI
Fang, Houqing; Xue, Fanggang; Yao, Olivia X. M. New congruences modulo 5 and 9 for partitions with odd parts distinct. (English) Zbl 1462.11087 Quaest. Math. 43, No. 11, 1573-1586 (2020). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{H. Fang} et al., Quaest. Math. 43, No. 11, 1573--1586 (2020; Zbl 1462.11087) Full Text: DOI
Hu, Weiding; Yao, Olivia X. M.; Zhao, Taoyan New parity results of sums of partitions and squares in arithmetic progressions. (English) Zbl 1444.05013 Contrib. Discrete Math. 14, No. 1, 117-129 (2019). MSC: 05A17 11P83 PDFBibTeX XMLCite \textit{W. Hu} et al., Contrib. Discrete Math. 14, No. 1, 117--129 (2019; Zbl 1444.05013) Full Text: DOI
Yao, Olivia X. M. Infinite families of congruences modulo 5 and 7 for the cubic partition function. (English) Zbl 1467.11093 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 5, 1189-1205 (2019). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{O. X. M. Yao}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 5, 1189--1205 (2019; Zbl 1467.11093) Full Text: DOI
Yao, Olivia X. M. Generalizations of some conjectures of Sun on the relations between \(N(a,b,c,d;n)\) and \(T(a,b,c,d;n)\). (English) Zbl 1455.11060 Ramanujan J. 48, No. 3, 639-654 (2019). MSC: 11D85 11E25 PDFBibTeX XMLCite \textit{O. X. M. Yao}, Ramanujan J. 48, No. 3, 639--654 (2019; Zbl 1455.11060) Full Text: DOI
Li, Xiaorong; Yao, Olivia X. M. New infinite families of congruences for Andrews’ \((K,I)\)-singular overpartitions. (English) Zbl 1446.11190 Quaest. Math. 41, No. 7, 1005-1019 (2018). MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{X. Li} and \textit{O. X. M. Yao}, Quaest. Math. 41, No. 7, 1005--1019 (2018; Zbl 1446.11190) Full Text: DOI
Xia, Ernest X. W.; Yao, Olivia X. M. Ramanujan-type congruences modulo 8 for 7- and 23-core partition functions. (English) Zbl 1461.11136 Ramanujan J. 47, No. 1, 221-235 (2018). Reviewer: Nian Hong Zhou (Shanghai) MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{E. X. W. Xia} and \textit{O. X. M. Yao}, Ramanujan J. 47, No. 1, 221--235 (2018; Zbl 1461.11136) Full Text: DOI
Qu, Y. K.; Wang, Y. J.; Yao, Olivia X. M. Generalizations of some conjectures of Chan on congruences for Appell-Lerch sums. (English) Zbl 1439.11061 J. Math. Anal. Appl. 460, No. 1, 232-238 (2018). MSC: 11B65 11B50 40A05 PDFBibTeX XMLCite \textit{Y. K. Qu} et al., J. Math. Anal. Appl. 460, No. 1, 232--238 (2018; Zbl 1439.11061) Full Text: DOI
Yao, Olivia X. M.; Wang, Ya Juan Newman’s identity and infinite families of congruences modulo 7 for broken 3-diamond partitions. (English) Zbl 1432.11151 Ramanujan J. 43, No. 3, 619-631 (2017). MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{O. X. M. Yao} and \textit{Y. J. Wang}, Ramanujan J. 43, No. 3, 619--631 (2017; Zbl 1432.11151) Full Text: DOI
Yao, Olivia Xiang Mei New modular relations involving cubes of the Göllnitz-Gordon functions. (English) Zbl 1369.05022 Proc. Indian Acad. Sci., Math. Sci. 127, No. 3, 393-410 (2017). MSC: 05A30 11B65 11A55 11F27 PDFBibTeX XMLCite \textit{O. X. M. Yao}, Proc. Indian Acad. Sci., Math. Sci. 127, No. 3, 393--410 (2017; Zbl 1369.05022) Full Text: DOI
Yao, Olivia X. M. Congruences modulo 16, 32, and 64 for Andrews’s singular overpartitions. (English) Zbl 1422.11217 Ramanujan J. 43, No. 1, 215-228 (2017). MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{O. X. M. Yao}, Ramanujan J. 43, No. 1, 215--228 (2017; Zbl 1422.11217) Full Text: DOI
Yao, Olivia X. M. The relations between \(N(a,b,c,d;n)\) and \(t(a,b,c,d;n)\) and (\(p,k\))-parametrization of theta functions. (English) Zbl 1404.11034 J. Math. Anal. Appl. 453, No. 1, 125-143 (2017). MSC: 11D85 11E25 11F27 PDFBibTeX XMLCite \textit{O. X. M. Yao}, J. Math. Anal. Appl. 453, No. 1, 125--143 (2017; Zbl 1404.11034) Full Text: DOI
Xia, Ernest X. W.; Yao, Olivia X. M. Arithmetic properties for \((s,t)\)-regular bipartition functions. (English) Zbl 1419.11117 J. Number Theory 171, 1-17 (2017). MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{E. X. W. Xia} and \textit{O. X. M. Yao}, J. Number Theory 171, 1--17 (2017; Zbl 1419.11117) Full Text: DOI
Xia, Ernest X. W.; Yao, Olivia X. M. Some modular relations for Ramanujan’s function \(k(q)=r(q)r^2(q^2)\). (English) Zbl 1384.11011 Ramanujan J. 35, No. 2, 243-251 (2014). MSC: 11A55 11B65 14K25 05A30 PDFBibTeX XMLCite \textit{E. X. W. Xia} and \textit{O. X. M. Yao}, Ramanujan J. 35, No. 2, 243--251 (2014; Zbl 1384.11011) Full Text: DOI
Xia, Ernest X. W.; Yao, Olivia X. M. Some modular relations for the Göllnitz-Gordon functions and Ramanujan’s modular equations. (English) Zbl 1318.11134 Indian J. Pure Appl. Math. 45, No. 1, 53-74 (2014). MSC: 11P84 11B65 PDFBibTeX XMLCite \textit{E. X. W. Xia} and \textit{O. X. M. Yao}, Indian J. Pure Appl. Math. 45, No. 1, 53--74 (2014; Zbl 1318.11134) Full Text: DOI
Xia, Ernest X. W.; Tian, X. L.; Yao, Olivia X. M. Evaluation of the convolution sum \(\sum_{i+25j=n} {\sigma}(i){\sigma}(j)\). (English) Zbl 1318.11005 Int. J. Number Theory 10, No. 6, 1421-1430 (2014). MSC: 11A25 11E20 11E25 PDFBibTeX XMLCite \textit{E. X. W. Xia} et al., Int. J. Number Theory 10, No. 6, 1421--1430 (2014; Zbl 1318.11005) Full Text: DOI
Yao, Olivia X. M. New congruences modulo powers of 2 and 3 for 9-regular partitions. (English) Zbl 1295.11114 J. Number Theory 142, 89-101 (2014). MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{O. X. M. Yao}, J. Number Theory 142, 89--101 (2014; Zbl 1295.11114) Full Text: DOI
Yao, Olivia X. M.; Xia, Ernest X. W. Combinatorial proofs of five formulas of Liouville. (English) Zbl 1339.11053 Discrete Math. 318, 1-9 (2014). MSC: 11E25 05A19 PDFBibTeX XMLCite \textit{O. X. M. Yao} and \textit{E. X. W. Xia}, Discrete Math. 318, 1--9 (2014; Zbl 1339.11053) Full Text: DOI
Xia, Ernest X. W.; Yao, Olivia X. M. Analogues of Ramanujan’s partition identities. (English) Zbl 1281.11092 Ramanujan J. 31, No. 3, 373-396 (2013). MSC: 11P83 11P84 11F27 PDFBibTeX XMLCite \textit{E. X. W. Xia} and \textit{O. X. M. Yao}, Ramanujan J. 31, No. 3, 373--396 (2013; Zbl 1281.11092) Full Text: DOI
Yao, Olivia X. M.; Xia, Ernest X. W. On the 4-dissections of certain infinite products. (English) Zbl 1275.11017 Ramanujan J. 30, No. 1, 1-7 (2013). MSC: 11A55 11F27 30B70 PDFBibTeX XMLCite \textit{O. X. M. Yao} and \textit{E. X. W. Xia}, Ramanujan J. 30, No. 1, 1--7 (2013; Zbl 1275.11017) Full Text: DOI
Xia, Ernest X. W.; Yao, Olivia X. M. Eisenstein series identities involving the Borweins’ cubic theta functions. (English) Zbl 1278.11049 J. Appl. Math. 2012, Article ID 181264, 14 p. (2012). MSC: 11F27 33D15 PDFBibTeX XMLCite \textit{E. X. W. Xia} and \textit{O. X. M. Yao}, J. Appl. Math. 2012, Article ID 181264, 14 p. (2012; Zbl 1278.11049) Full Text: DOI