Yao, Olivia X. M.; Liu, Eric H.; Bian, Min Automatic proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers. (English) Zbl 1497.11092 Ramanujan J. 59, No. 2, 365-378 (2022). MSC: 11D85 11E25 PDFBibTeX XMLCite \textit{O. X. M. Yao} et al., Ramanujan J. 59, No. 2, 365--378 (2022; Zbl 1497.11092) 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
Yao, Olivia X. M. Congruences modulo 64 and 1024 for overpartitions. (English) Zbl 1439.11272 Ramanujan J. 46, No. 1, 1-18 (2018). MSC: 11P83 05A17 PDFBibTeX XMLCite \textit{O. X. M. Yao}, Ramanujan J. 46, No. 1, 1--18 (2018; Zbl 1439.11272) 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.; 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.; Xia, Ernest X. W. Evaluation of the convolution sums \(\sum_{i+3j=n}\sigma(i)\sigma_3(j)\) and \(\sum_{3i+j=n}\sigma(i)\sigma_3(j)\). (English) Zbl 1310.11008 Int. J. Number Theory 10, No. 1, 115-123 (2014). MSC: 11A25 11E20 11E25 PDFBibTeX XMLCite \textit{O. X. M. Yao} and \textit{E. X. W. Xia}, Int. J. Number Theory 10, No. 1, 115--123 (2014; Zbl 1310.11008) 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. On the representations of integers by certain quadratic forms. (English) Zbl 1256.11029 Int. J. Number Theory 9, No. 1, 189-204 (2013). MSC: 11E25 11E20 PDFBibTeX XMLCite \textit{E. X. W. Xia} and \textit{O. X. M. Yao}, Int. J. Number Theory 9, No. 1, 189--204 (2013; Zbl 1256.11029) Full Text: DOI