He, Haihong; Wang, Xiaoxia Two curious \(q\)-supercongruences and their extensions. (English) Zbl 07920525 Forum Math. 36, No. 6, 1555-1563 (2024). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33D15 11A07 11B65 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chern, Shane; Tang, Dazhao General coefficient-vanishing results associated with theta series. (English) Zbl 07904795 Adv. Appl. Math. 159, Article ID 102742, 66 p. (2024). MSC: 11F27 11B65 11J13 11J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elkhiri, Laid; Koparal, Sibel; Ömür, Neşe Congruences with \(q\)-harmonic numbers and \(q\)-binomial coefficients. (English) Zbl 07881008 Indian J. Pure Appl. Math. 55, No. 2, 639-648 (2024). MSC: 11A07 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Ji-Cai; Li, Yan-Ni On the divisibility of sums of \(q\)-super Catalan numbers. (English) Zbl 1542.11031 Bull. Aust. Math. Soc. 109, No. 2, 215-224 (2024). Reviewer: Toufik Mansour (Haifa) MSC: 11B65 05A10 11A07 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Victor J. W. A new \(q\)-variation of the (C.2) supercongruence of van Hamme. (English) Zbl 1536.11004 Result. Math. 79, No. 2, Paper No. 87, 13 p. (2024). MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Ni, He-Xia; Wang, Li-Yuan Proof of conjectures of Sun on double basic hypergeometric sums. (English) Zbl 1533.11007 J. Math. Anal. Appl. 532, No. 2, Article ID 127920, 7 p. (2024). MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Qi, Wei-Wei Some variations of \(q\)-analogues of Sun and Tauraso’s congruence. (English) Zbl 1541.11008 Integers 23, Paper A98, 11 p. (2023). MSC: 11A07 11B65 × Cite Format Result Cite Review PDF Full Text: Link
Ömür, Neşe; Gür, Zehra Betül; Koparal, Sibel; Elkhiri, Laid Some congruences with \(q\)-binomial sums. (English) Zbl 1541.11007 Turk. J. Math. 47, No. 7, 2006-2027 (2023). MSC: 11A07 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Boumahdi, R.; Mihoubi, M.; Khaldi, L. On certain congruences involving central binomial coefficients. (English) Zbl 07809574 Math. Montisnigri 58, 32-40 (2023). MSC: 11A07 11B39 05A10 × Cite Format Result Cite Review PDF Full Text: DOI
Azevedo, Assis; Azevedo, Davide Asymptotics for generating functions of the Fuss-Catalan numbers. (English) Zbl 1538.05005 Math. Inequal. Appl. 26, No. 4, 841-850 (2023). MSC: 05A10 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaoxia; Yu, Menglin Some new \(q\)-supercongruences involving one free parameter. (English) Zbl 1528.33020 Rocky Mt. J. Math. 53, No. 4, 1285-1290 (2023). MSC: 33D15 11A07 11B65 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tauraso, Roberto More congruences for central binomial sums with Fibonacci and Lucas numbers. (English) Zbl 1531.11007 J. Integer Seq. 26, No. 8, Article 23.8.3, 10 p. (2023). Reviewer: Uğur Duran (İskenderun) MSC: 11A07 11B65 05A10 11B39 × Cite Format Result Cite Review PDF Full Text: Link
Guo, Victor J. W.; Ni, He-Xia Proof of some supercongruences through a \(q\)-microscope. (English) Zbl 1519.11003 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 4, Paper No. 147, 9 p. (2023). MSC: 11A07 11B65 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Khaldi, L.; Boumahdi, R. Some congruences involving inverse of binomial coefficients. (English) Zbl 1516.11004 Chelyabinskiĭ Fiz.-Mat. Zh. 8, No. 1, 59-71 (2023). MSC: 11A07 11B65 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Wang, Xiaoxia; Yu, Menglin A generalisation of a supercongruence on the truncated Appell series \(F_3\). (English) Zbl 1530.11005 Bull. Aust. Math. Soc. 107, No. 2, 296-303 (2023). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 33D15 33C65 33C20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Rong-Hua; Zhong, Michael X. X. Polynomial reduction for holonomic sequences and applications in \(\pi\)-series and congruences. (English) Zbl 1525.11028 Adv. Appl. Math. 150, Article ID 102568, 17 p. (2023). Reviewer: Christoph Koutschan (Linz) MSC: 11B83 11B65 33F10 05A19 05A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Zhi-Hong Supercongruences involving products of three binomial coefficients. (English) Zbl 1517.11004 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 131, 26 p. (2023). MSC: 11A07 05A19 11B65 11B68 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Bing On a generalized homogeneous Hahn polynomial. (English) Zbl 1530.33019 Sci. China, Math. 66, No. 5, 957-976 (2023). MSC: 33D45 33D15 05A15 30D15 30E15 30C15 05A10 × Cite Format Result Cite Review PDF Full Text: DOI
Belbachir, Hacène; Otmani, Yassine Quadrinomial-like versions for Wolstenholme, Morley and Glaisher congruences. (English) Zbl 1517.11001 Integers 23, Paper A27, 21 p. (2023). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11B68 05A10 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Hao A Lucas-type congruence for \(q\)-Delannoy numbers. (English) Zbl 1508.05015 Discrete Math. 346, No. 4, Article ID 113260, 12 p. (2023). MSC: 05A30 05A10 11B65 11A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Victor J. W. New \(q\)-analogues of a congruence of Sun and Tauraso. (English) Zbl 1538.11004 Publ. Math. Debr. 102, No. 1-2, 103-109 (2023). Reviewer: C. L. Parihar (Indore) MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Rodriguez Caballero, José Manuel A \(q\)-analog of Jacobi’s two squares formula and its applications. (English) Zbl 1521.11017 Hardy-Ramanujan J. 45, 84-87 (2022). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11C08 11B65 11E25 11N13 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Wang, Xiaoxia; Yu, Menglin Yu Some generalizations of a congruence by Sun and Tauraso. (English) Zbl 1538.11010 Period. Math. Hung. 85, No. 2, 240-245 (2022). Reviewer: Konstantin Malyutin (Kursk) MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Tahmi, N.; Elkhiri, L.; Derbal, A. Congruences involving the binomial coefficient and some applications. (English) Zbl 1513.11007 Math. Montisnigri 55, 31-44 (2022). MSC: 11A07 11B65 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Kimoto, Kazufumi Linear relations for Bernoulli numbers and its application to congruences involving harmonic sums. (English) Zbl 1511.11001 Ryukyu Math. J. 35, 1-11 (2022). Reviewer: Uğur Duran (Iskenderun) MSC: 11A07 11B68 05A40 × Cite Format Result Cite Review PDF Full Text: Link
Ömür, Neşe; Gür, Zehra Betül; Koparal, Sibel Congruences with \(q\)-generalized Catalan numbers and \(q\)-harmonic numbers. (English) Zbl 1513.11006 Hacet. J. Math. Stat. 51, No. 3, 712-724 (2022). MSC: 11A07 11B65 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Ni, He-Xia; Wang, Li-Yuan; Wu, Hai-Liang \(q\)-supercongruences from transformation formulas. (English) Zbl 1510.11070 Result. Math. 77, No. 6, Paper No. 212, 16 p. (2022). MSC: 11B65 05A10 05A30 11A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Zhi-Hong Congruences for certain families of Apéry-like sequences. (English) Zbl 1524.05009 Czech. Math. J. 72, No. 3, 875-912 (2022). MSC: 05A10 05A19 11A07 11B68 11E25 × Cite Format Result Cite Review PDF Full Text: DOI
Henningsen, Joel A.; Straub, Armin Generalized Lucas congruences and linear \(p\)-schemes. (English) Zbl 1505.11007 Adv. Appl. Math. 141, Article ID 102409, 20 p. (2022). Reviewer: Zhihong Sun (Huaian) MSC: 11A07 11B65 11B83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Beukers, Frits; Delaygue, Eric Some supercongruences of arbitrary length. (English) Zbl 1517.11002 Indag. Math., New Ser. 33, No. 5, 946-955 (2022). MSC: 11A07 33C05 11B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Khaldi, Laala; Boumahdi, Rachid Some observations on alternating power sums. (English) Zbl 1501.11037 J. Integer Seq. 25, No. 5, Article 22.5.2, 9 p. (2022). MSC: 11B68 11B73 11B65 11A07 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Menglin; Wang, Xiaoxia Proof of two conjectures of Guo and Schlosser. (English) Zbl 1518.11005 Ramanujan J. 58, No. 1, 239-252 (2022). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11M06 33D15 05A30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Zhi-Wei On Motzkin numbers and central trinomial coefficients. (English) Zbl 1491.11028 Adv. Appl. Math. 136, Article ID 102319, 25 p. (2022). MSC: 11B65 05A10 05A19 11A07 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ni, He-Xia; Wang, Li-Yuan Two \(q\)-supercongruences from Watson’s transformation. (English) Zbl 1480.11003 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 30, 7 p. (2022). MSC: 11A07 11B65 05A10 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yong; Yuan, Peisen Proof of a Dwork-type supercongruence by induction. (English) Zbl 1525.11005 AIMS Math. 6, No. 10, 11568-11583 (2021). MSC: 11A07 11B65 11B68 05A10 33C20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ni, He-Xia A \(q\)-Dwork-type generalization of Rodriguez-Villegas’ supercongruences. (English) Zbl 1487.11020 Rocky Mt. J. Math. 51, No. 6, 2179-2184 (2021). MSC: 11B65 05A10 05A30 11A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Guo, Victor J. W.; Wei, Chuanan A \(q\)-congruence for a truncated \(_{4}\varphi_{3}\) series. (English) Zbl 1538.11006 Czech. Math. J. 71, No. 4, 1157-1165 (2021). MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hou, Qing-Hu; Liu, Ke Congruences and telescopings of \(P\)-recursive sequences. (English) Zbl 1495.11025 J. Difference Equ. Appl. 27, No. 5, 686-697 (2021). MSC: 11B37 11A07 11B50 05A10 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhi-Wei Supercongruences involving Lucas sequences. (English) Zbl 1479.11014 Monatsh. Math. 196, No. 3, 577-606 (2021). MSC: 11A07 11B65 05A10 11B39 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Hao; Sun, Yu-Chen A \(q\)-analogue of Wilson’s congruence. (English) Zbl 1469.05018 Adv. Appl. Math. 130, Article ID 102228, 10 p. (2021). MSC: 05A30 05A05 05A10 11A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhi-Hong Supercongruences and binary quadratic forms. (English) Zbl 1472.11026 Acta Arith. 199, No. 1, 1-32 (2021). MSC: 11A07 05A19 11B65 11E25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Long Some \(q\)-supercongruences for truncated forms of squares of basic hypergeometric series. (English) Zbl 1472.11020 J. Difference Equ. Appl. 27, No. 1, 16-25 (2021). MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yong; Pan, Hao On the Atkin and Swinnerton-Dyer type congruences for some truncated hypergeometric \(_1F_0\) series. (English) Zbl 1478.11006 Acta Arith. 198, No. 2, 169-186 (2021). Reviewer: Vijay Yadav (Virar) MSC: 11A07 11B65 05A10 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Bachraoui, Mohamed On supercongruences for truncated sums of squares of basic hypergeometric series. (English) Zbl 1473.11002 Ramanujan J. 54, No. 2, 415-426 (2021). Reviewer: Noriko Yui (Kingston) MSC: 11A07 11B65 11F33 33C20 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Wang, Xiaoxia; Yu, Menglin Some new \(q\)-congruences on double sums. (English) Zbl 1451.33008 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 9, 9 p. (2021). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 33D15 11A07 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Zudilin, Wadim \((q)\)-supercongruences hit again. (English) Zbl 1472.11029 Hardy-Ramanujan J. 43, 46-55 (2020). MSC: 11A07 11B65 11F33 33C20 33D15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Tauraso, Roberto Two supercongruences related to multiple harmonic sums. (English) Zbl 1471.11093 Bull. Aust. Math. Soc. 103, No. 3, 379-389 (2020). MSC: 11B65 11A07 11B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neuberger, Nick; Yildiz, Bahattin An elementary proof of Weisman’s congruence when \(p=2\). (English) Zbl 1472.11024 PUMP J. Undergrad. Res. 3, 146-157 (2020). MSC: 11A07 11B65 × Cite Format Result Cite Review PDF Full Text: Link
Sun, Zhi-Hong Congruences involving binomial coefficients and Apéry-like numbers. (English) Zbl 1474.11002 Publ. Math. Debr. 96, No. 3-4, 315-346 (2020). MSC: 11A07 11B65 11B68 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ni, He-Xia; Pan, Hao Divisibility of some binomial sums. (English) Zbl 1464.11029 Acta Arith. 194, No. 4, 367-381 (2020). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11B65 11A07 05A10 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Xianzu \(p\)-adic \(L\)-functions and classical congruences. (English) Zbl 1453.11001 Acta Arith. 194, No. 1, 29-49 (2020). Reviewer: Mouad Moutaoukil (Fès) MSC: 11A07 11B68 11B65 11S40 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Zhi-Hong New supercongruences involving products of two binomial coefficients. (English) Zbl 1461.11009 Bull. Aust. Math. Soc. 101, No. 3, 367-378 (2020). MSC: 11A07 11B68 05A10 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Ballot, Christian Another Lucasnomial generalization of Wolstenholme’s congruence. (English) Zbl 1446.11005 J. Integer Seq. 23, No. 3, Article 20.3.7, 16 p. (2020). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11B39 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Guo, Victor J. W.; Wang, Su-Dan Some congruences involving fourth powers of central \(q\)-binomial coefficients. (English) Zbl 1468.11067 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1127-1138 (2020). MSC: 11B65 05A10 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
He, Bing On a congruence conjecture of Swisher. (English) Zbl 1472.11015 Finite Fields Appl. 64, Article ID 101663, 12 p. (2020). MSC: 11A07 05A10 11S80 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baruah, Nayandeep Deka; Begum, Nilufar Mana Proofs of some conjectures of Chan on Appell-Lerch sums. (English) Zbl 1450.11107 Ramanujan J. 51, No. 1, 99-115 (2020). MSC: 11P83 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ni, He-Xia; Pan, Hao Some symmetric \(q\)-congruences modulo the square of a cyclotomic polynomial. (English) Zbl 1471.11010 J. Math. Anal. Appl. 481, No. 2, Article ID 123372, 12 p. (2020). MSC: 11A07 11B65 33D05 × Cite Format Result Cite Review PDF Full Text: DOI
Zudilin, Wadim Congruences for \(q\)-binomial coefficients. (English) Zbl 1431.11032 Ann. Comb. 23, No. 3-4, 1123-1135 (2019). MSC: 11B65 05A10 11A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Koparal, Sibel On congruences for \(q\)-analogues of ballot numbers. (English) Zbl 1448.11050 Turk. J. Math. 43, No. 5, 2642-2648 (2019). MSC: 11B65 11A07 11C08 × Cite Format Result Cite Review PDF Full Text: Link
Cai, Tianxin; Zhong, Hao; Chern, Shane A congruence involving the quotients of Euler and its applications. III. (Chinese. English summary) Zbl 1449.11038 Acta Math. Sin., Chin. Ser. 62, No. 4, 529-540 (2019). MSC: 11B65 11A07 × Cite Format Result Cite Review PDF Full Text: arXiv
Zhai, Hongcun; He, Bing; Li, Long Some congruences on \(q\)-Franel numbers and \(q\)-Catalan numbers. (English) Zbl 1425.11033 Indian J. Pure Appl. Math. 50, No. 1, 181-189 (2019). MSC: 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Gorodetsky, Ofir \(q\)-congruences, with applications to supercongruences and the cyclic sieving phenomenon. (English) Zbl 1423.11043 Int. J. Number Theory 15, No. 9, 1919-1968 (2019). MSC: 11B65 05A30 11A07 11B83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Castoldi, André G.; Carmelo, Emerson L. do Monte; da Silva, Robson Partial sums of binomials, intersecting numbers, and the excess bound in Rosenbloom-Tsfasman space. (English) Zbl 1438.94079 Comput. Appl. Math. 38, No. 2, Paper No. 55, 15 p. (2019). MSC: 94B25 05A10 05A19 06A06 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Ji-Cai; Wang, Chen Congruences for the \((p-1)\)th Apéry number. (English) Zbl 1479.11009 Bull. Aust. Math. Soc. 99, No. 3, 362-368 (2019). Reviewer: Zhihong Sun (Huaian) MSC: 11A07 11B65 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jia, Lirui; Zhang, Yong; Cai, Tianxin Some new congruences concerning binomial coefficients. (English) Zbl 1424.11003 Adv. Math., Beijing 47, No. 4, 525-542 (2018). MSC: 11A07 11B65 × Cite Format Result Cite Review PDF
He, Bing On extensions of Van Hamme’s conjectures. (English) Zbl 1446.11006 Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 5, 1017-1027 (2018). MSC: 11A07 05A10 33C20 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhi-Hong Super congruences for two Apéry-like sequences. (English) Zbl 1446.11007 J. Difference Equ. Appl. 24, No. 10, 1685-1713 (2018). MSC: 11A07 05A10 05A19 11B50 11E25 33C45 65Q30 × Cite Format Result Cite Review PDF Full Text: DOI
O’Neill, Christopher On mesoprimary decomposition of monoid congruences. (English) Zbl 1440.05252 Rocky Mt. J. Math. 48, No. 6, 2069-2085 (2018). MSC: 05E40 06A07 20M14 20M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Ionaşcu, Eugen J. A variation on bisecting the binomial coefficients. (English) Zbl 1398.05018 Discrete Appl. Math. 250, 276-284 (2018). MSC: 05A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bencherif, Farid; Boumahdi, Rachid; Garici, Tarek Generalization of Wolstenholme’s and Morley’s congruences. (English) Zbl 1413.11004 Publ. Math. Debr. 93, No. 1-2, 29-38 (2018). Reviewer: László Tóth (Pécs) MSC: 11A07 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Ji-Cai; Li, Long; Wang, Su-Dan Some congruences on Delannoy numbers and Schröder numbers. (English) Zbl 1435.11040 Int. J. Number Theory 14, No. 7, 2035-2041 (2018). MSC: 11B65 11A07 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Hou, Qing-Hu; Wang, Yu-Shan Constant term evaluation and two kinds of congruence. (English) Zbl 1435.11039 Int. J. Number Theory 14, No. 7, 2013-2022 (2018). MSC: 11B65 11A07 11B75 × Cite Format Result Cite Review PDF Full Text: DOI
Ni, He-Xia; Pan, Hao On a conjectured \(q\)-congruence of Guo and Zeng. (English) Zbl 1428.11041 Int. J. Number Theory 14, No. 6, 1699-1707 (2018). MSC: 11B65 11A07 05A10 05A30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Bing Some congruences involving \(q\)-harmonic numbers. (English) Zbl 1499.11007 Ars Comb. 137, 295-304 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 11A07 05A30 11B65 × Cite Format Result Cite Review PDF
Wang, Ying; Xin, Guoce A classification of Motzkin numbers modulo 8. (English) Zbl 1391.05022 Electron. J. Comb. 25, No. 1, Research Paper P1.54, 15 p. (2018). MSC: 05A10 11B50 × Cite Format Result Cite Review PDF Full Text: Link
Göral, H.; Sertbaş, D. C. Divisibility properties of hyperharmonic numbers. (English) Zbl 1413.11052 Acta Math. Hung. 154, No. 1, 147-186 (2018). Reviewer: Štefan Porubský (Praha) MSC: 11B83 05A10 11B75 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Mu, Yan-Ping; Sun, Zhi-Wei Telescoping method and congruences for double sums. (English) Zbl 1428.11012 Int. J. Number Theory 14, No. 1, 143-165 (2018). MSC: 11A07 11B75 33F10 05A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Zhi-Hong Congruences for sums involving Franel numbers. (English) Zbl 1428.11013 Int. J. Number Theory 14, No. 1, 123-142 (2018). MSC: 11A07 11B83 11E25 05A10 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhi-Wei Arithmetic properties of Delannoy numbers and Schröder numbers. (English) Zbl 1433.11025 J. Number Theory 183, 146-171 (2018). MSC: 11B75 05A10 05A19 11A07 11B65 11C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meštrović, Romeo; Anđić, Miomir Certain congruences for harmonic numbers. (English) Zbl 1488.11004 Math. Montisnigri 38, 5-11 (2017). MSC: 11A07 05A10 05A19 11B65 11B68 × Cite Format Result Cite Review PDF Full Text: Link