Cao, Jian; Guo, Victor J. W.; Yu, Xiao Factors of certain basic hypergeometric sums. (English) Zbl 07823296 Ramanujan J. 63, No. 4, 995-1005 (2024). MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{J. Cao} et al., Ramanujan J. 63, No. 4, 995--1005 (2024; Zbl 07823296) Full Text: DOI
Cao, Jian; Guo, Victor J. W.; Yu, Xiao A new extension of a “divergent” Ramanujan-type supercongruence. (English) Zbl 07815916 J. Difference Equ. Appl. 30, No. 1, 122-132 (2024). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{J. Cao} et al., J. Difference Equ. Appl. 30, No. 1, 122--132 (2024; Zbl 07815916) Full Text: DOI
Guo, Victor J. W. A new \(q\)-variation of the (C.2) supercongruence of Van Hamme. (English) Zbl 07802383 Result. Math. 79, No. 2, Paper No. 87, 13 p. (2024). MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Result. Math. 79, No. 2, Paper No. 87, 13 p. (2024; Zbl 07802383) Full Text: DOI
Guo, Victor J. W. Three families of \(q\)-supercongruences from a quadratic transformation of Rahman. (English) Zbl 07771502 Bull. Sci. Math. 188, Article ID 103339, 11 p. (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33D15 11A07 11B65 05A30 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Bull. Sci. Math. 188, Article ID 103339, 11 p. (2023; Zbl 07771502) Full Text: DOI
Guo, Victor J. W.; Lian, Xiuguo A new \(q\)-analogue of Van Hamme’s (G.2) supercongruence for primes \(p\equiv 3\pmod{4}\). (English) Zbl 07770034 Bull. Korean Math. Soc. 60, No. 3, 775-783 (2023). MSC: 33D15 11A07 11B65 05A10 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{X. Lian}, Bull. Korean Math. Soc. 60, No. 3, 775--783 (2023; Zbl 07770034) Full Text: DOI
Guo, Victor J. W. Correction to: “Some \(q\)-supercongruences from the Gasper and Rahman quadratic summation”. (English) Zbl 07741381 Rev. Mat. Complut. 36, No. 3, 1003 (2023). MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Rev. Mat. Complut. 36, No. 3, 1003 (2023; Zbl 07741381) Full Text: DOI
Guo, Victor J. W. Some \(q\)-supercongruences from the Gasper and Rahman quadratic summation. (English) Zbl 07741380 Rev. Mat. Complut. 36, No. 3, 993-1002 (2023); correction ibid. 36, No. 3, 1003 (2023). MSC: 33E50 33D15 05A10 05A19 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Rev. Mat. Complut. 36, No. 3, 993--1002 (2023; Zbl 07741380) Full Text: DOI
Guo, Victor J. W.; Schlosser, Michael J. New \(q\)-analogues of Van Hamme’s (E.2) supercongruence and of a supercongruence by Swisher. (English) Zbl 1525.11004 Result. Math. 78, No. 3, Paper No. 105, 13 p. (2023). MSC: 11A07 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Result. Math. 78, No. 3, Paper No. 105, 13 p. (2023; Zbl 1525.11004) Full Text: DOI
Guo, Victor J. W. Some \(q\)-supercongruences from Gasper’s Karlsson-Minton type summation. (English) Zbl 1523.11003 Ramanujan J. 60, No. 3, 825-835 (2023). MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Ramanujan J. 60, No. 3, 825--835 (2023; Zbl 1523.11003) Full Text: DOI
Guo, Victor J. W. A new \(q\)-analogue of Van Hamme’s (A.2) supercongruence. (English) Zbl 1510.11067 Bull. Aust. Math. Soc. 107, No. 1, 22-30 (2023). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 11B65 11A07 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Bull. Aust. Math. Soc. 107, No. 1, 22--30 (2023; Zbl 1510.11067) Full Text: DOI
Guo, Victor J. W. New \(q\)-analogues of a congruence of Sun and Tauraso. (English) Zbl 07650969 Publ. Math. Debr. 102, No. 1-2, 103-109 (2023). Reviewer: C. L. Parihar (Indore) MSC: 11-XX 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Publ. Math. Debr. 102, No. 1--2, 103--109 (2023; Zbl 07650969) Full Text: DOI
Guo, Victor J. W.; Ni, He-Xia Further generalizations of four supercongruences of Rodriguez-Villegas. (English) Zbl 1509.11004 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 49, 12 p. (2023). MSC: 11A07 05A30 11B65 33C05 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{H.-X. Ni}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 49, 12 p. (2023; Zbl 1509.11004) Full Text: DOI
Guo, Victor J. W.; Li, Long \(q\)-supercongruences from squares of basic hypergeometric series. (English) Zbl 1512.11003 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 26, 18 p. (2023). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 33D15 05A30 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{L. Li}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 26, 18 p. (2023; Zbl 1512.11003) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. Three families of \(q\)-supercongruences modulo the square and cube of a cyclotomic polynomial. (English) Zbl 07647275 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 9, 11 p. (2023). MSC: 11-XX 33D15 11A07 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 9, 11 p. (2023; Zbl 07647275) Full Text: DOI
Guo, Victor J. W.; Liu, Ji-Cai; Schlosser, Michael J. An extension of a supercongruence of Long and Ramakrishna. (English) Zbl 07640176 Proc. Am. Math. Soc. 151, No. 3, 1157-1166 (2023). MSC: 33C20 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo} et al., Proc. Am. Math. Soc. 151, No. 3, 1157--1166 (2023; Zbl 07640176) Full Text: DOI arXiv
Guo, Victor J. W. Some \(q\)-supercongruences from the Bailey transformation. (English) Zbl 07644668 Period. Math. Hung. 85, No. 2, 328-335 (2022). MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Period. Math. Hung. 85, No. 2, 328--335 (2022; Zbl 07644668) Full Text: DOI
Gu, Cheng-Yang; Guo, Victor J. W. Further \(q\)-supercongruences from the \(q\)-Pfaff-Saalschütz identity. (English) Zbl 1522.11002 Result. Math. 77, No. 6, Paper No. 238, 10 p. (2022). MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{C.-Y. Gu} and \textit{V. J. W. Guo}, Result. Math. 77, No. 6, Paper No. 238, 10 p. (2022; Zbl 1522.11002) Full Text: DOI
Guo, Victor J. W. Some \(q\)-analogues of supercongruences for truncated \({}_3 F_2\) hypergeometric series. (English) Zbl 1520.11004 Ramanujan J. 59, No. 1, 131-142 (2022). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Ramanujan J. 59, No. 1, 131--142 (2022; Zbl 1520.11004) Full Text: DOI
Fang, Jian-Ping; Guo, Victor J. W. Some \(q\)-supercongruences related to Swisher’s (H.3) conjecture. (English) Zbl 1502.33007 Int. J. Number Theory 18, No. 7, 1417-1427 (2022). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{J.-P. Fang} and \textit{V. J. W. Guo}, Int. J. Number Theory 18, No. 7, 1417--1427 (2022; Zbl 1502.33007) Full Text: DOI
Guo, Victor J. W.; Lian, Xiuguo On a generalization of a congruence related to \(q\)-Narayana numbers. (English) Zbl 1511.11025 J. Algebr. Comb. 55, No. 4, 1299-1305 (2022). MSC: 11B65 05A10 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{X. Lian}, J. Algebr. Comb. 55, No. 4, 1299--1305 (2022; Zbl 1511.11025) Full Text: DOI
Guo, Victor J. W.; Schlosser, Michael J. A family of \(q\)-supercongruences modulo the cube of a cyclotomic polynomial. (English) Zbl 1501.11003 Bull. Aust. Math. Soc. 105, No. 2, 296-302 (2022). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11C08 33D15 05A30 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Bull. Aust. Math. Soc. 105, No. 2, 296--302 (2022; Zbl 1501.11003) Full Text: DOI
Guo, Victor J. W. A new extension of the (A.2) supercongruence of Van Hamme. (English) Zbl 1508.33015 Result. Math. 77, No. 3, Paper No. 96, 11 p. (2022). MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Result. Math. 77, No. 3, Paper No. 96, 11 p. (2022; Zbl 1508.33015) Full Text: DOI
Guo, Victor J. W. A new extension of the (H.2) supercongruence of Van Hamme for primes \(p\equiv 3\operatorname{mod}{4}\). (English) Zbl 1503.11005 Ramanujan J. 57, No. 4, 1387-1398 (2022). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 11A07 33D15 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Ramanujan J. 57, No. 4, 1387--1398 (2022; Zbl 1503.11005) Full Text: DOI
Guo, Victor J. W. \(q\)-analogues of some supercongruences related to Euler numbers. (English) Zbl 1495.11039 J. Difference Equ. Appl. 28, No. 1, 58-72 (2022). MSC: 11B65 11A07 33F10 PDFBibTeX XMLCite \textit{V. J. W. Guo}, J. Difference Equ. Appl. 28, No. 1, 58--72 (2022; Zbl 1495.11039) Full Text: DOI arXiv
Fang, Jian-Ping; Guo, Victor J. W. Two \(q\)-congruences involving double basic hypergeometric sums. (English) Zbl 1480.11002 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 25, 7 p. (2022). MSC: 11A07 11B65 05A30 33D15 PDFBibTeX XMLCite \textit{J.-P. Fang} and \textit{V. J. W. Guo}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 25, 7 p. (2022; Zbl 1480.11002) Full Text: DOI
Guo, Victor J. W.; Wei, Chuanan A \(q\)-congruence for a truncated \(_{4}\varphi_{3}\) series. (English) Zbl 07442481 Czech. Math. J. 71, No. 4, 1157-1165 (2021). MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{C. Wei}, Czech. Math. J. 71, No. 4, 1157--1165 (2021; Zbl 07442481) Full Text: DOI
Gu, Cheng-Yang; Guo, Victor J. W. Two \(q\)-congruences from Carlitz’s formula. (English) Zbl 1499.11006 Period. Math. Hung. 82, No. 1, 82-86 (2021). MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{C.-Y. Gu} and \textit{V. J. W. Guo}, Period. Math. Hung. 82, No. 1, 82--86 (2021; Zbl 1499.11006) Full Text: DOI
Guo, Victor J. W.; Schlosser, Michael J. Some \(q\)-supercongruences modulo the square and cube of a cyclotomic polynomial. (English) Zbl 1483.33010 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 132, 9 p. (2021). MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 132, 9 p. (2021; Zbl 1483.33010) Full Text: DOI arXiv
Guo, Victor J. W. Another family of \(q\)-congruences modulo the square of a cyclotomic polynomial. (English) Zbl 1470.11034 Result. Math. 76, No. 2, Paper No. 109, 12 p. (2021). MSC: 11B65 11A07 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Result. Math. 76, No. 2, Paper No. 109, 12 p. (2021; Zbl 1470.11034) Full Text: DOI
Guo, Song; Guo, Victor J. W. Curious \(q\)-analogues of two supercongruences modulo the third power of a prime. (English) Zbl 1476.11034 Result. Math. 76, No. 1, Paper No. 37, 10 p. (2021). MSC: 11B65 11A07 33D15 33C20 05A30 PDFBibTeX XMLCite \textit{S. Guo} and \textit{V. J. W. Guo}, Result. Math. 76, No. 1, Paper No. 37, 10 p. (2021; Zbl 1476.11034) Full Text: DOI
Guo, Victor J. W. A further \(q\)-analogue of Van Hamme’s (H.2) supercongruence for primes \(p\equiv 3 \pmod 4\). (English) Zbl 1478.33009 Int. J. Number Theory 17, No. 5, 1201-1206 (2021). MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Int. J. Number Theory 17, No. 5, 1201--1206 (2021; Zbl 1478.33009) Full Text: DOI
Guo, Victor J. W.; Lian, Xiuguo Some \(q\)-congruences on double basic hypergeometric sums. (English) Zbl 1472.11014 J. Difference Equ. Appl. 27, No. 3, 453-461 (2021). MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{X. Lian}, J. Difference Equ. Appl. 27, No. 3, 453--461 (2021; Zbl 1472.11014) Full Text: DOI
Guo, Victor J. W. Some variations of a ‘divergent’ Ramanujan-type \(q\)-supercongruence. (English) Zbl 1469.11031 J. Difference Equ. Appl. 27, No. 3, 376-388 (2021). MSC: 11B65 33F10 11A07 PDFBibTeX XMLCite \textit{V. J. W. Guo}, J. Difference Equ. Appl. 27, No. 3, 376--388 (2021; Zbl 1469.11031) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series. (English) Zbl 1462.33006 Constr. Approx. 53, No. 1, 155-200 (2021). Reviewer: Enzo Bonacci (Latina) MSC: 33D15 05A10 05A30 11A07 11F33 33D45 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Constr. Approx. 53, No. 1, 155--200 (2021; Zbl 1462.33006) Full Text: DOI arXiv
Guo, Victor J. W.; Zudilin, Wadim Dwork-type supercongruences through a creative \(q\)-microscope. (English) Zbl 1473.11046 J. Comb. Theory, Ser. A 178, Article ID 105362, 38 p. (2021). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 05A30 11A07 33C05 14J32 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{W. Zudilin}, J. Comb. Theory, Ser. A 178, Article ID 105362, 38 p. (2021; Zbl 1473.11046) Full Text: DOI arXiv
Guo, Victor J. W. Proof of a generalization of the (C.2) supercongruence of Van Hamme. (English) Zbl 1468.33017 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 45, 13 p. (2021). MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 45, 13 p. (2021; Zbl 1468.33017) Full Text: DOI
Guo, Victor J. W. Proof of a supercongruence conjectured by Sun through a \(q\)-microscope. (English) Zbl 1485.11043 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 63, 7 p. (2020). MSC: 11B65 11A07 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 63, 7 p. (2020; Zbl 1485.11043) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. A family of \(q\)-hypergeometric congruences modulo the fourth power of a cyclotomic polynomial. (English) Zbl 1483.11001 Isr. J. Math. 240, No. 2, 821-835 (2020). Reviewer: Vijay Yadav (Virar) MSC: 11A07 33D05 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Isr. J. Math. 240, No. 2, 821--835 (2020; Zbl 1483.11001) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. A new family of \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial. (English) Zbl 1469.11032 Result. Math. 75, No. 4, Paper No. 155, 12 p. (2020). MSC: 11B65 11A07 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Result. Math. 75, No. 4, Paper No. 155, 12 p. (2020; Zbl 1469.11032) Full Text: DOI
Guo, Victor J. W. \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping. (English) Zbl 1456.11024 Adv. Appl. Math. 120, Article ID 102078, 16 p. (2020). MSC: 11B65 11A07 05A30 33C20 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Adv. Appl. Math. 120, Article ID 102078, 16 p. (2020; Zbl 1456.11024) Full Text: DOI arXiv
Guo, Victor J. W. A family of \(q\)-congruences modulo the square of a cyclotomic polynomial. (English) Zbl 1461.11004 Electron. Res. Arch. 28, No. 2, 1031-1036 (2020). MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Electron. Res. Arch. 28, No. 2, 1031--1036 (2020; Zbl 1461.11004) Full Text: DOI arXiv
Guo, Victor J. W. Proof of some \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial. (English) Zbl 1458.33009 Result. Math. 75, No. 3, Paper No. 77, 12 p. (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Result. Math. 75, No. 3, Paper No. 77, 12 p. (2020; Zbl 1458.33009) Full Text: DOI
Guo, Victor J. W. A \(q\)-analogue of the (A.2) supercongruence of Van Hamme for primes \(p\equiv 1\pmod{4} \). (English) Zbl 1439.33006 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 123, 9 p. (2020). MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 123, 9 p. (2020; Zbl 1439.33006) Full Text: DOI
Guo, Victor J. W.; Zudilin, Wadim A common \(q\)-analogue of two supercongruences. (English) Zbl 1439.33007 Result. Math. 75, No. 2, Paper No. 46, 11 p. (2020). Reviewer: Faitori Omer Salem (Tripoli) MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{W. Zudilin}, Result. Math. 75, No. 2, Paper No. 46, 11 p. (2020; Zbl 1439.33007) Full Text: DOI arXiv
Guo, Victor J. W. \(q\)-analogues of three Ramanujan-type formulas for \(1/\pi\). (English) Zbl 1468.11066 Ramanujan J. 52, No. 1, 123-132 (2020). MSC: 11B65 05A10 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Ramanujan J. 52, No. 1, 123--132 (2020; Zbl 1468.11066) Full Text: DOI
Guo, Victor J. W. \(q\)-analogues of Dwork-type supercongruences. (English) Zbl 1439.11011 J. Math. Anal. Appl. 487, No. 2, Article ID 124022, 9 p. (2020). Reviewer: Dazhao Tang (Chongqing) MSC: 11A07 11B65 11F33 33D05 PDFBibTeX XMLCite \textit{V. J. W. Guo}, J. Math. Anal. Appl. 487, No. 2, Article ID 124022, 9 p. (2020; Zbl 1439.11011) Full Text: DOI arXiv
Gu, Cheng-Yang; Guo, Victor J. W. A \(q\)-analogue of a hypergeometric congruence. (English) Zbl 1440.33017 Bull. Aust. Math. Soc. 101, No. 2, 294-298 (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 33D15 11A07 11F33 PDFBibTeX XMLCite \textit{C.-Y. Gu} and \textit{V. J. W. Guo}, Bull. Aust. Math. Soc. 101, No. 2, 294--298 (2020; Zbl 1440.33017) Full Text: DOI
Guo, Victor J. W. Proof of a generalization of the (B.2) supercongruence of Van Hamme through a \(q\)-microscope. (English) Zbl 1468.11005 Adv. Appl. Math. 116, Article ID 102016, 19 p. (2020). MSC: 11A07 11B68 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Adv. Appl. Math. 116, Article ID 102016, 19 p. (2020; Zbl 1468.11005) Full Text: DOI
Guo, Victor J. W.; Schlosser, Michael J. Some new \(q\)-congruences for truncated basic hypergeometric series: even powers. (English) Zbl 1442.33007 Result. Math. 75, No. 1, Paper No. 1, 15 p. (2020). Reviewer: M. P. Chaudhary (New Delhi) MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Result. Math. 75, No. 1, Paper No. 1, 15 p. (2020; Zbl 1442.33007) Full Text: DOI arXiv
Guo, Victor J. W.; Liu, Ji-Cai Some congruences related to a congruence of Van Hamme. (English) Zbl 1434.11054 Integral Transforms Spec. Funct. 31, No. 3, 221-231 (2020). MSC: 11B65 33C20 33B15 11A07 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J.-C. Liu}, Integral Transforms Spec. Funct. 31, No. 3, 221--231 (2020; Zbl 1434.11054) Full Text: DOI arXiv
Guo, Victor J. W. On a conjecture related to integer-valued polynomials. arXiv:2003.12653 Preprint, arXiv:2003.12653 [math.NT] (2020). MSC: 33C20 11A07 11B65 05A10 BibTeX Cite \textit{V. J. W. Guo}, ``On a conjecture related to integer-valued polynomials'', Preprint, arXiv:2003.12653 [math.NT] (2020) Full Text: arXiv OA License
Guo, Victor J. W.; Schlosser, Michael J. Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial. (English) Zbl 1426.33048 J. Difference Equ. Appl. 25, No. 7, 921-929 (2019). MSC: 33D15 11A07 11F33 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, J. Difference Equ. Appl. 25, No. 7, 921--929 (2019; Zbl 1426.33048) Full Text: DOI arXiv
Guo, Victor J. W. Some \(q\)-congruences with parameters. (English) Zbl 1459.11052 Acta Arith. 190, No. 4, 381-393 (2019). MSC: 11B65 33D15 11A07 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Acta Arith. 190, No. 4, 381--393 (2019; Zbl 1459.11052) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. Some new \(q\)-congruences for truncated basic hypergeometric series. (English) Zbl 1416.11010 Symmetry 11, No. 2, Paper No. 268, 12 p. (2019). MSC: 11A07 11F33 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Symmetry 11, No. 2, Paper No. 268, 12 p. (2019; Zbl 1416.11010) Full Text: DOI arXiv
Guo, Victor J. W. Common \(q\)-analogues of some different supercongruences. (English) Zbl 1414.33016 Result. Math. 74, No. 4, Paper No. 131, 15 p. (2019). MSC: 33D15 11A07 11F33 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Result. Math. 74, No. 4, Paper No. 131, 15 p. (2019; Zbl 1414.33016) Full Text: DOI
Guo, Victor J. W. Factors of some truncated basic hypergeometric series. (English) Zbl 1448.33016 J. Math. Anal. Appl. 476, No. 2, 851-859 (2019). MSC: 33D05 11A07 11F33 PDFBibTeX XMLCite \textit{V. J. W. Guo}, J. Math. Anal. Appl. 476, No. 2, 851--859 (2019; Zbl 1448.33016) Full Text: DOI arXiv
Guo, Victor J. W.; Zudilin, Wadim On a \(q\)-deformation of modular forms. (English) Zbl 1445.11014 J. Math. Anal. Appl. 475, No. 2, 1636-1646 (2019). Reviewer: Thomas Ernst (Uppsala) MSC: 11B65 33C05 11F03 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{W. Zudilin}, J. Math. Anal. Appl. 475, No. 2, 1636--1646 (2019; Zbl 1445.11014) Full Text: DOI arXiv
Guo, Victor J. W.; Zudilin, Wadim A \(q\)-microscope for supercongruences. (English) Zbl 1464.11028 Adv. Math. 346, 329-358 (2019). MSC: 11B65 11A07 11Y60 33C20 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{W. Zudilin}, Adv. Math. 346, 329--358 (2019; Zbl 1464.11028) Full Text: DOI arXiv
Guo, Victor J. W.; Liu, Ji-Cai \(q\)-analogues of two Ramanujan-type formulas for \(1/\pi\). (English) Zbl 1444.11036 J. Difference Equ. Appl. 24, No. 8, 1368-1373 (2018). MSC: 11B65 05A10 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J.-C. Liu}, J. Difference Equ. Appl. 24, No. 8, 1368--1373 (2018; Zbl 1444.11036) Full Text: DOI arXiv
Guo, Victor J. W. A \(q\)-analogue of the (J.2) supercongruence of van Hamme. (English) Zbl 1390.05028 J. Math. Anal. Appl. 466, No. 1, 776-788 (2018). MSC: 05A30 11P83 11A07 33E50 PDFBibTeX XMLCite \textit{V. J. W. Guo}, J. Math. Anal. Appl. 466, No. 1, 776--788 (2018; Zbl 1390.05028) Full Text: DOI
Guo, Victor J. W. A \(q\)-analogue of the (L.2) supercongruence of van Hamme. (English) Zbl 1405.33021 J. Math. Anal. Appl. 466, No. 1, 749-761 (2018). MSC: 33D05 PDFBibTeX XMLCite \textit{V. J. W. Guo}, J. Math. Anal. Appl. 466, No. 1, 749--761 (2018; Zbl 1405.33021) Full Text: DOI
Guo, Victor J. W.; Zudilin, Wadim Ramanujan-type formulae for \(1/\pi: q\)-analogues. (English) Zbl 1436.11024 Integral Transforms Spec. Funct. 29, No. 7, 505-513 (2018). MSC: 11B65 11Y60 33C20 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{W. Zudilin}, Integral Transforms Spec. Funct. 29, No. 7, 505--513 (2018; Zbl 1436.11024) Full Text: DOI arXiv
Guo, Victor J. W. Some generalizations of a supercongruence of van Hamme. (English) Zbl 1379.33013 Integral Transforms Spec. Funct. 28, No. 12, 888-899 (2017). MSC: 11A07 11B65 33C20 33B15 33F10 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Integral Transforms Spec. Funct. 28, No. 12, 888--899 (2017; Zbl 1379.33013) Full Text: DOI
Guo, Hong-Fang; Guo, Victor J. W.; Zeng, Jiang A \(q\)-Clausen-Orr type formula and its applications. (English) Zbl 1430.11028 J. Math. Anal. Appl. 453, No. 2, 761-772 (2017). MSC: 11B65 33D15 PDFBibTeX XMLCite \textit{H.-F. Guo} et al., J. Math. Anal. Appl. 453, No. 2, 761--772 (2017; Zbl 1430.11028) Full Text: DOI arXiv
Guo, Song; Guo, Victor J. W. Some congruences related to hypergeometric polynomials. (English) Zbl 1362.33006 Integral Transforms Spec. Funct. 28, No. 3, 181-184 (2017). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 33C05 11A07 PDFBibTeX XMLCite \textit{S. Guo} and \textit{V. J. W. Guo}, Integral Transforms Spec. Funct. 28, No. 3, 181--184 (2017; Zbl 1362.33006) Full Text: DOI
Guo, Victor J. W.; Liu, Ji-Cai Proof of some conjectures of Z.-W. Sun on the divisibility of certain double sums. (English) Zbl 1346.11016 Int. J. Number Theory 12, No. 3, 615-623 (2016). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 33F10 11A07 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J.-C. Liu}, Int. J. Number Theory 12, No. 3, 615--623 (2016; Zbl 1346.11016) Full Text: DOI arXiv
Guo, Victor J. W.; Zeng, Jiang Some \(q\)-supercongruences for truncated basic hypergeometric series. (English) Zbl 1338.11024 Acta Arith. 171, No. 4, 309-326 (2015). MSC: 11B65 05A10 05A30 33C45 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J. Zeng}, Acta Arith. 171, No. 4, 309--326 (2015; Zbl 1338.11024) Full Text: DOI
Guo, Victor J. W.; Zeng, Jiang Basic and bibasic identities related to divisor functions. (English) Zbl 1322.05025 J. Math. Anal. Appl. 431, No. 2, 1197-1209 (2015). MSC: 05A19 11B68 33D99 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J. Zeng}, J. Math. Anal. Appl. 431, No. 2, 1197--1209 (2015; Zbl 1322.05025) Full Text: DOI arXiv
Guo, Victor J. W. Some congruences related to the \(q\)-Fermat quotients. (English) Zbl 1365.11017 Int. J. Number Theory 11, No. 3, 1049-1060 (2015). MSC: 11B65 33D15 05A10 05A30 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Int. J. Number Theory 11, No. 3, 1049--1060 (2015; Zbl 1365.11017) Full Text: DOI arXiv
Guo, Victor J. W.; Ishikawa, Masao; Tagawa, Hiroyuki; Zeng, Jiang A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials. (English) Zbl 1312.33051 Proc. Am. Math. Soc. 143, No. 5, 2003-2015 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33D45 33C45 05A19 PDFBibTeX XMLCite \textit{V. J. W. Guo} et al., Proc. Am. Math. Soc. 143, No. 5, 2003--2015 (2015; Zbl 1312.33051) Full Text: DOI arXiv
Gao, Feng; Guo, Victor J. W. Contiguous relations and summation and transformation formulae for basic hypergeometric series. (English) Zbl 1280.33015 J. Difference Equ. Appl. 19, No. 12, 2029-2042 (2013). MSC: 33D15 PDFBibTeX XMLCite \textit{F. Gao} and \textit{V. J. W. Guo}, J. Difference Equ. Appl. 19, No. 12, 2029--2042 (2013; Zbl 1280.33015) Full Text: DOI arXiv
Guo, Victor J. W. Proof of Andrews conjecture on a \(_4\phi_3\) summation. (English) Zbl 1272.33017 J. Difference Equ. Appl. 19, No. 6, 1035-1041 (2013). MSC: 33D15 05A30 PDFBibTeX XMLCite \textit{V. J. W. Guo}, J. Difference Equ. Appl. 19, No. 6, 1035--1041 (2013; Zbl 1272.33017) Full Text: DOI arXiv
Guo, Victor J. W.; Zeng, Jiang Combinatorial proof of a curious \(q\)-binomial coefficient identity. (English) Zbl 1205.05014 Electron. J. Comb. 17, No. 1, Research Paper N13, 6 p. (2010). MSC: 05A17 05A30 33D99 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J. Zeng}, Electron. J. Comb. 17, No. 1, Research Paper N13, 6 p. (2010; Zbl 1205.05014) Full Text: EuDML EMIS
Guo, Victor J. W.; Jouhet, Frédéric; Zeng, Jiang New finite Rogers-Ramanujan identities. (English) Zbl 1191.11030 Ramanujan J. 19, No. 3, 247-266 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 11P84 05A30 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} et al., Ramanujan J. 19, No. 3, 247--266 (2009; Zbl 1191.11030) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. Curious extensions of Ramanujan’s \(_1\psi_1\) summation formula. (English) Zbl 1115.33014 J. Math. Anal. Appl. 334, No. 1, 393-403 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 33D90 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, J. Math. Anal. Appl. 334, No. 1, 393--403 (2007; Zbl 1115.33014) Full Text: DOI arXiv
Guo, Victor J. W.; Zeng, Jiang Short proofs of summation and transformation formulas for basic hypergeometric series. (English) Zbl 1106.33017 J. Math. Anal. Appl. 327, No. 1, 310-325 (2007). Reviewer: Wolfram Koepf (Kassel) MSC: 33F10 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J. Zeng}, J. Math. Anal. Appl. 327, No. 1, 310--325 (2007; Zbl 1106.33017) Full Text: DOI arXiv
Guo, Victor J. W.; Zeng, Jiang The Eulerian distribution on involutions is indeed unimodal. (English) Zbl 1097.11011 J. Comb. Theory, Ser. A 113, No. 6, 1061-1071 (2006). Reviewer: Herman J. Tiersma (Den Haag) MSC: 11B83 11B68 33F10 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J. Zeng}, J. Comb. Theory, Ser. A 113, No. 6, 1061--1071 (2006; Zbl 1097.11011) Full Text: DOI arXiv
Guo, Victor J. W.; Zeng, Jiang The number of convex polyominoes and the generating function of Jacobi polynomials. (English) Zbl 1090.05017 Discrete Appl. Math. 154, No. 3, 587-593 (2006). Reviewer: László A. Székely (Columbia) MSC: 05B50 05A15 05A19 33C45 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J. Zeng}, Discrete Appl. Math. 154, No. 3, 587--593 (2006; Zbl 1090.05017) Full Text: DOI arXiv
Guo, Victor J. W. Elementary proofs of some \(q\)-identities of Jackson and Andrews–Jain. (English) Zbl 1080.33015 Discrete Math. 295, No. 1-3, 63-74 (2005). Reviewer: Thomas Ernst (Uppsala) MSC: 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Discrete Math. 295, No. 1--3, 63--74 (2005; Zbl 1080.33015) Full Text: DOI
Guo, Victor J. W.; Zeng, Jiang A combinatorial proof of a symmetric \(q\)-Pfaff-Saalschütz identity. (English) Zbl 1060.05011 Electron. J. Comb. 12, No. 1, Research paper N2, 11 p. (2005). MSC: 05A19 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J. Zeng}, Electron. J. Comb. 12, No. 1, Research paper N2, 11 p. (2005; Zbl 1060.05011) Full Text: EuDML EMIS