Mao, Guo-Shuai; Schlosser, Michael J. Supercongruences involving Domb numbers and binary quadratic forms. (English) Zbl 07762418 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 11, 14 p. (2024). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11B83 11E16 11E25 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{M. J. Schlosser}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 11, 14 p. (2024; Zbl 07762418) Full Text: DOI arXiv OA License
Mao, Guo-Shuai; Liu, Yan Congruences involving Hecke-Rogers type series and modular forms. (English) Zbl 07809586 J. Math. Study 56, No. 2, 147-155 (2023). MSC: 11A07 11B83 33E50 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{Y. Liu}, J. Math. Study 56, No. 2, 147--155 (2023; Zbl 07809586) Full Text: DOI
Mao, Guo-Shuai; Yang, Jun-Jun Supercongruences involving Apéry-like sequences \(\{m^nG_n(x)\}\) and \(\{m^nV_n(x)\}\). (English) Zbl 07773832 Period. Math. Hung. 87, No. 2, 303-314 (2023). MSC: 11A07 05A10 11B65 11B68 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{J.-J. Yang}, Period. Math. Hung. 87, No. 2, 303--314 (2023; Zbl 07773832) Full Text: DOI
Mao, Guo-Shuai Proof of some congruence conjectures of Z.-H. Sun involving Apéry-like numbers. (English) Zbl 1527.11004 J. Difference Equ. Appl. 29, No. 5, 592-602 (2023). MSC: 11A07 11B68 05A10 11B65 PDFBibTeX XMLCite \textit{G.-S. Mao}, J. Difference Equ. Appl. 29, No. 5, 592--602 (2023; Zbl 1527.11004) Full Text: DOI arXiv
Mao, Guo-Shuai; Pan, Hao On two conjectural congruences of Sun involving harmonic numbers. (English) Zbl 1516.11006 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 102, 8 p. (2023). MSC: 11A07 11B65 11B68 05A10 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{H. Pan}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 102, 8 p. (2023; Zbl 1516.11006) Full Text: DOI
Mao, Guo-Shuai; Li, Danrui; Ma, Xinmin On some congruences involving Apéry-like numbers \(S_n\). (English) Zbl 1516.11005 J. Difference Equ. Appl. 29, No. 2, 181-197 (2023). MSC: 11A07 11B65 11B68 05A10 PDFBibTeX XMLCite \textit{G.-S. Mao} et al., J. Difference Equ. Appl. 29, No. 2, 181--197 (2023; Zbl 1516.11005) Full Text: DOI
Mao, Guo-Shuai; ZhaoSong, An-Bang On three conjectural congruences of Z.-H. Sun involving Apéry and Apéry-like numbers. (English) Zbl 1516.11007 Monatsh. Math. 201, No. 1, 197-216 (2023). MSC: 11A07 11B65 11B68 05A10 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{A.-B. ZhaoSong}, Monatsh. Math. 201, No. 1, 197--216 (2023; Zbl 1516.11007) Full Text: DOI
Mao, Guo-Shuai; Liu, Jun On some congruences involving generalized central trinomial coefficients. (English) Zbl 1510.11018 Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 4, 12 p. (2023). MSC: 11A07 11B75 05A15 11B65 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{J. Liu}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 4, 12 p. (2023; Zbl 1510.11018) Full Text: DOI
Mao, Guo-shuai On a supercongruence conjecture of Z.-W. Sun. (English) Zbl 1501.11004 Chin. Ann. Math., Ser. B 43, No. 3, 417-424 (2022). MSC: 11A07 11B65 PDFBibTeX XMLCite \textit{G.-s. Mao}, Chin. Ann. Math., Ser. B 43, No. 3, 417--424 (2022; Zbl 1501.11004) Full Text: DOI arXiv
Mao, Guo-Shuai; Liu, Yan Proof of some conjectural congruences involving Domb numbers and binary quadratic forms. (English) Zbl 1505.11008 J. Math. Anal. Appl. 516, No. 1, Article ID 126493, 22 p. (2022). MSC: 11A07 11B65 11B68 11E16 11S80 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{Y. Liu}, J. Math. Anal. Appl. 516, No. 1, Article ID 126493, 22 p. (2022; Zbl 1505.11008) Full Text: DOI arXiv
Mao, Gou-Shuai On some congruence conjectures modulo \(p^2\). (English) Zbl 1513.11005 Publ. Math. Debr. 101, No. 1-2, 33-45 (2022). Reviewer: David Grabiner (Columbia) MSC: 11A07 11B65 05A10 33C05 33C20 PDFBibTeX XMLCite \textit{G.-S. Mao}, Publ. Math. Debr. 101, No. 1--2, 33--45 (2022; Zbl 1513.11005) Full Text: DOI
Mao, Guo-Shuai; Li, Danrui Proof of some conjectural congruences modulo \(p^3\). (English) Zbl 1498.11013 J. Difference Equ. Appl. 28, No. 4, 496-509 (2022). Reviewer: Zhihong Sun (Huaian) MSC: 11A07 05A19 11B65 11B68 11B83 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{D. Li}, J. Difference Equ. Appl. 28, No. 4, 496--509 (2022; Zbl 1498.11013) Full Text: DOI
Mao, Guo-Shuai; Pan, Hao Congruences corresponding to hypergeometric identities. I: \(_2F_1\) transformations. (English) Zbl 1479.11010 J. Math. Anal. Appl. 505, No. 2, Article ID 125527, 40 p. (2022). MSC: 11A07 33C05 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{H. Pan}, J. Math. Anal. Appl. 505, No. 2, Article ID 125527, 40 p. (2022; Zbl 1479.11010) Full Text: DOI
Mao, Guo-Shuai; Wen, Chen-Wei On two supercongruences of truncated hypergeometric series \({}_4 F_3\). (English) Zbl 1479.11012 Ramanujan J. 56, No. 2, 597-612 (2021). MSC: 11A07 33C20 11B68 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{C.-W. Wen}, Ramanujan J. 56, No. 2, 597--612 (2021; Zbl 1479.11012) Full Text: DOI arXiv
Mao, Guo-Shuai; Tauraso, Roberto Three pairs of congruences concerning sums of central binomial coefficients. (English) Zbl 1479.11011 Int. J. Number Theory 17, No. 10, 2301-2314 (2021). MSC: 11A07 11B65 33C20 33B15 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{R. Tauraso}, Int. J. Number Theory 17, No. 10, 2301--2314 (2021; Zbl 1479.11011) Full Text: DOI arXiv
Mao, Guo-Shuai Proof of a conjecture of Adamchuk. (English) Zbl 1468.11008 J. Comb. Theory, Ser. A 182, Article ID 105478, 16 p. (2021). MSC: 11A07 05A10 11B65 33C05 33E50 PDFBibTeX XMLCite \textit{G.-S. Mao}, J. Comb. Theory, Ser. A 182, Article ID 105478, 16 p. (2021; Zbl 1468.11008) Full Text: DOI arXiv
Mao, Guo-Shuai Proof of a supercongruence via the Wilf-Zeilberger method. (English) Zbl 1472.11023 J. Symb. Comput. 107, 269-278 (2021). MSC: 11A07 11B68 11B65 33F10 PDFBibTeX XMLCite \textit{G.-S. Mao}, J. Symb. Comput. 107, 269--278 (2021; Zbl 1472.11023) Full Text: DOI arXiv
Mao, Guo-Shuai Proof of some supercongruences via the Wilf-Zeilberger method. (English) Zbl 1461.11008 J. Difference Equ. Appl. 26, No. 11-12, 1494-1513 (2020). MSC: 11A07 11B65 05A10 33F10 PDFBibTeX XMLCite \textit{G.-S. Mao}, J. Difference Equ. Appl. 26, No. 11--12, 1494--1513 (2020; Zbl 1461.11008) Full Text: DOI arXiv
Mao, Guo-Shuai On some congruences involving trinomial coefficients. (English) Zbl 1454.11047 Rocky Mt. J. Math. 50, No. 5, 1759-1771 (2020). Reviewer: Uğur Duran (Iskenderun) MSC: 11B65 11A07 05A10 PDFBibTeX XMLCite \textit{G.-S. Mao}, Rocky Mt. J. Math. 50, No. 5, 1759--1771 (2020; Zbl 1454.11047) Full Text: DOI Euclid
Mao, Guo-Shuai On two congruences involving Apéry and Franel numbers. (English) Zbl 1461.11007 Result. Math. 75, No. 4, Paper No. 159, 11 p. (2020). MSC: 11A07 05A10 11B65 PDFBibTeX XMLCite \textit{G.-S. Mao}, Result. Math. 75, No. 4, Paper No. 159, 11 p. (2020; Zbl 1461.11007) Full Text: DOI arXiv
Mao, Guo-Shuai; Pan, Hao On the divisibility of some truncated hypergeometric series. (English) Zbl 1466.11008 Acta Arith. 195, No. 2, 199-206 (2020). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11B65 05A10 11A07 33C05 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{H. Pan}, Acta Arith. 195, No. 2, 199--206 (2020; Zbl 1466.11008) Full Text: DOI arXiv
Mao, Guo-Shuai; Cao, Zhi-Jian On two congruence conjectures. (Sur deux conjectures de congruence.) (English. French summary) Zbl 1442.11009 C. R., Math., Acad. Sci. Paris 357, No. 11-12, 815-822 (2019). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11A07 11B65 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{Z.-J. Cao}, C. R., Math., Acad. Sci. Paris 357, No. 11--12, 815--822 (2019; Zbl 1442.11009) Full Text: DOI
Mao, Guo-Shuai; Wang, Jie On some congruences involving Domb numbers and harmonic numbers. (English) Zbl 1433.11017 Int. J. Number Theory 15, No. 10, 2179-2200 (2019). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11B65 11B75 11A07 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{J. Wang}, Int. J. Number Theory 15, No. 10, 2179--2200 (2019; Zbl 1433.11017) Full Text: DOI
Mao, Guo-Shuai; Zhang, Tao Proof of Sun’s conjectures on super congruences and the divisibility of certain binomial sums. (English) Zbl 1428.11040 Ramanujan J. 50, No. 1, 1-11 (2019). MSC: 11B65 05A10 11A07 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{T. Zhang}, Ramanujan J. 50, No. 1, 1--11 (2019; Zbl 1428.11040) Full Text: DOI arXiv
Mao, Guo-Shuai; Wang, Chen; Wang, Jie Symbolic summation methods and congruences involving harmonic numbers. (Méthodes de sommation symbolique et congruences impliquant les nombres harmoniques.) (English. French summary) Zbl 1455.11040 C. R., Math., Acad. Sci. Paris 357, No. 10, 756-765 (2019). MSC: 11B68 11B75 05A19 11A07 PDFBibTeX XMLCite \textit{G.-S. Mao} et al., C. R., Math., Acad. Sci. Paris 357, No. 10, 756--765 (2019; Zbl 1455.11040) Full Text: DOI
Mao, Guo-Shuai; Sun, Zhi-Wei New congruences involving products of two binomial coefficients. (English) Zbl 1450.11014 Ramanujan J. 49, No. 2, 237-256 (2019). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11B65 11B68 05A10 11A07 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{Z.-W. Sun}, Ramanujan J. 49, No. 2, 237--256 (2019; Zbl 1450.11014) Full Text: DOI arXiv
Mao, Guo-Shuai Proof of some congruence conjectures of Guo and Liu. (English) Zbl 1473.11047 Ramanujan J. 48, No. 2, 233-244 (2019). MSC: 11B65 11B68 05A10 11A07 PDFBibTeX XMLCite \textit{G.-S. Mao}, Ramanujan J. 48, No. 2, 233--244 (2019; Zbl 1473.11047) Full Text: DOI arXiv
Mao, Guo-Shuai On sums of binomial coefficients involving Catalan and delannoy numbers modulo \(p^2\). (English) Zbl 1433.11016 Ramanujan J. 45, No. 2, 319-330 (2018). MSC: 11B65 11B68 05A10 11A07 PDFBibTeX XMLCite \textit{G.-S. Mao}, Ramanujan J. 45, No. 2, 319--330 (2018; Zbl 1433.11016) Full Text: DOI
Mao, Guo-Shuai Proof of some congruences conjectured by Z.-W. Sun. (English) Zbl 1427.11021 Int. J. Number Theory 13, No. 8, 1983-1993 (2017). MSC: 11B65 11B68 05A10 11A07 PDFBibTeX XMLCite \textit{G.-S. Mao}, Int. J. Number Theory 13, No. 8, 1983--1993 (2017; Zbl 1427.11021) Full Text: DOI
Mao, Guo-Shuai Proof of two conjectural supercongruences involving Catalan-Larcombe-French numbers. (English) Zbl 1418.11035 J. Number Theory 179, 88-96 (2017). MSC: 11A07 11B65 11B68 05A10 PDFBibTeX XMLCite \textit{G.-S. Mao}, J. Number Theory 179, 88--96 (2017; Zbl 1418.11035) Full Text: DOI arXiv
Hu, Dian-Wang; Mao, Guo-Shuai On an extension of a Van Hamme supercongruence. (English) Zbl 1401.11053 Ramanujan J. 42, No. 3, 713-723 (2017). MSC: 11B65 11B68 05A10 11A07 PDFBibTeX XMLCite \textit{D.-W. Hu} and \textit{G.-S. Mao}, Ramanujan J. 42, No. 3, 713--723 (2017; Zbl 1401.11053) Full Text: DOI
Mao, Guo-Shuai; Pan, Hao Supercongruences on some binomial sums involving Lucas sequences. (English) Zbl 1421.11007 J. Math. Anal. Appl. 448, No. 2, 1061-1078 (2017). MSC: 11A07 11B65 11B39 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{H. Pan}, J. Math. Anal. Appl. 448, No. 2, 1061--1078 (2017; Zbl 1421.11007) Full Text: DOI arXiv
Guo, Victor J. W.; Mao, Guo-Shuai; Pan, Hao Proof of a conjecture involving Sun polynomials. (English) Zbl 1468.11006 J. Difference Equ. Appl. 22, No. 8, 1184-1197 (2016). MSC: 11A07 11B65 05A10 PDFBibTeX XMLCite \textit{V. J. W. Guo} et al., J. Difference Equ. Appl. 22, No. 8, 1184--1197 (2016; Zbl 1468.11006) Full Text: DOI arXiv
Mao, Guo-Shuai; Sun, Zhi-Wei Two congruences involving harmonic numbers with applications. (English) Zbl 1408.11011 Int. J. Number Theory 12, No. 2, 527-539 (2016). MSC: 11B65 11B68 05A10 11A07 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{Z.-W. Sun}, Int. J. Number Theory 12, No. 2, 527--539 (2016; Zbl 1408.11011) Full Text: DOI arXiv