Chen, Kwang-Wu Hypergeometric series and generalized harmonic numbers. (English) Zbl 07965411 J. Difference Equ. Appl. 31, No. 1, 85-114 (2025). MSC: 33C20 33B15 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaoxia; Xu, Chang \(q\)-supercongruences from Watson’s \(_8 \phi_7\) transformation. (English) Zbl 07963412 Forum Math. 37, No. 1, 111-119 (2025). MSC: 33D15 11A07 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Fiorot, Luisa; Gilblas, Riccardo; Tonolo, Alberto Periodic sequences, binomials modulo a prime power, and a math/music application. (English) Zbl 07938160 Adv. Appl. Math. 162, Article ID 102786, 31 p. (2025). Reviewer: Enzo Bonacci (Latina) MSC: 11B50 11B65 00A65 39A10 39A70 × Cite Format Result Cite Review PDF Full Text: DOI
Akkus, Ilker; Kizilaslan, Gonca On-line and non-line weighted generalized Fibonomial sums. (English) Zbl 07980766 Ars Comb. 161, 95-110 (2024). MSC: 11A99 11B75 68R05 × Cite Format Result Cite Review PDF Full Text: DOI
Sills, Andrew V. On integer partitions and the Wilcoxon rank-sum statistic. (English) Zbl 07978805 Commun. Stat., Theory Methods 53, No. 24, 8954-8963 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Murty, M. Ram Unimodal sequences: from Isaac Newton to June Huh. (English) Zbl 07957196 Int. J. Number Theory 20, No. 10, 2453-2476 (2024). MSC: 11Bxx 05C50 05C31 05A10 05A30 05A19 05B35 01A70 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Ji-Cai On the Kimoto-Wakayama supercongruence conjecture on Apéry-like numbers. (English) Zbl 07947626 Arch. Math. 123, No. 6, 615-624 (2024). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11M36 11M41 34K11 × Cite Format Result Cite Review PDF Full Text: DOI
Čekanavičius, Vydas; Liaudanskaitė, Gabija Compound Poisson approximations for sums of Markov dependent random variables. (English) Zbl 07930042 Lith. Math. J. 64, No. 3, 267-286 (2024). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J10 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
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
Auld, Graeme; Neammanee, Kritsana Explicit constants in the nonuniform local limit theorem for Poisson binomial random variables. (English) Zbl 1546.60043 J. Inequal. Appl. 2024, Paper No. 67, 26 p. (2024). MSC: 60F05 60G50 62E20 62E17 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Zhaoyang; Balasubramanian, Krishnakumar; Polonik, Wolfgang A flexible approach for normal approximation of geometric and topological statistics. (English) Zbl 07898709 Bernoulli 30, No. 4, 3029-3058 (2024). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60F05 60D05 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Alegri, Mateus Identities involving sum of divisors, compositions and integer partitions hiding in the \(q\)-binomial theorem. (English) Zbl 1542.11030 São Paulo J. Math. Sci. 18, No. 1, 1-13 (2024). MSC: 11B65 11P84 40C15 40B05 05A17 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Zheng-Yan; Tao, Ze-Yu; Hu, Ze-Chun A study on the negative binomial distribution motivated by Chvátal’s theorem. (English) Zbl 1537.60017 Stat. Probab. Lett. 207, Article ID 110037, 7 p. (2024). MSC: 60C05 60E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Auld, Graeme; Neammanee, Kritsana A nonuniform local limit theorem for Poisson binomial random variables via Stein’s method. (English) Zbl 1537.60028 J. Inequal. Appl. 2024, Paper No. 10, 18 p. (2024). MSC: 60F05 60G50 62E17 62E20 60E10 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Chuanan; Li, Chun Some \(q\)-supercongruences for double and triple basic hypergeometric series. (English) Zbl 1539.11014 Proc. Am. Math. Soc. 152, No. 6, 2283-2296 (2024). MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yan-Ni; Zhao, Yuan-Yuan A new \(q\)-analogue of the binomial identity \(\sum_k(-1)^k\binom{2n}{n+3k}=2\cdot 3^{n-1}\). (English) Zbl 1549.05026 Trans. Comb. 13, No. 2, 137-142 (2024). MSC: 05A19 05A10 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Chuanan \(q\)-supercongruences from Jackson’s \({}_8 \phi_7\) summation and Watson’s \({}_8 \phi_7\) transformation. (English) Zbl 1536.11008 J. Comb. Theory, Ser. A 204, Article ID 105853, 16 p. (2024). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11C08 33D15 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Zucker, Marc From Abel’s binomial theorem to Cayley’s tree formula. (English) Zbl 1532.05094 Am. Math. Mon. 131, No. 2, 165-169 (2024). MSC: 05C30 05C78 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Hanfei; Wang, Chun Some \(q\)-supercongruences from squares of basic hypergeometric series. (English) Zbl 1531.11006 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 36, 15 p. (2024). MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Hiller, Josh A generalized binomial theorem for induced weak compositions. (English) Zbl 1546.11023 Missouri J. Math. Sci. 35, No. 2, 188-193 (2023). MSC: 11B65 11B75 05A17 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xiaojing; Chu, Wenchang \(q\)-analogues of \(\pi \)-series by applying Carlitz inversions to \(q\)-Pfaff-Saalschütz theorem. (English) Zbl 1535.33018 Contrib. Discrete Math. 18, No. 2, 91-112 (2023). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 33D15 05A30 05A10 11B65 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Singh, Satya Prakash; Singh, Ashish Pratap Certain results on continued fractions. (English) Zbl 1534.11007 J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 101-106 (2023). Reviewer: Uğur Duran (İskenderun) MSC: 11A55 11Y65 11B65 05A30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ouimet, Frédéric A refined continuity correction for the negative binomial distribution and asymptotics of the median. (English) Zbl 07734492 Metrika 86, No. 7, 827-849 (2023). MSC: 62E20 62F12 62F35 62E15 60F15 62B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kongjiw, Hattacha; Rattanawong, Petcharat; Neammanee, Kritsana Local limit theorems for collective risk models. (English) Zbl 1521.60013 Stat. Probab. Lett. 201, Article ID 109867, 11 p. (2023). MSC: 60F05 91B05 62P05 × Cite Format Result Cite Review PDF Full Text: DOI
Chuprunov, Alexey N. On a number of particles in a marked set of cells in a general allocation scheme. (English. Russian original) Zbl 1520.60007 Discrete Math. Appl. 33, No. 3, 157-165 (2023); translation from Diskretn. Mat. 34, No. 1, 141-152 (2022). MSC: 60E05 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen, Dong Quan Ngoc Generating polynomials for the distribution of generalized binomial coefficients in discrete valuation domains. (English) Zbl 1533.11052 J. Commut. Algebra 15, No. 1, 65-73 (2023). MSC: 11B65 13A18 13F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Chu, W. \( \pi \)-formulas from dual series of the Dougall theorem. (English) Zbl 1531.33011 Ukr. Math. J. 74, No. 12, 1924-1949 (2023); and Ukr. Mat. Zh. 74, No. 12, 1686-1708 (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 33C20 33F10 11Y60 40A05 05A19 05A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chu, Wenchang Infinite series around multinomial coefficients and harmonic numbers. (English) Zbl 1527.11066 Kodai Math. J. 46, No. 2, 115-144 (2023). Reviewer: Thomas Ernst (Uppsala) MSC: 11M06 11B65 33C20 65B10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tang, Na Some \(q\)-supercongruences related to Van Hamme’s (C.2) supercongruence. (English) Zbl 1523.11004 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127402, 6 p. (2023). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 33D15 33F10 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Kenyon, Richard; Yin, Mei Parking functions: from combinatorics to probability. (English) Zbl 1515.60043 Methodol. Comput. Appl. Probab. 25, No. 1, Paper No. 32, 30 p. (2023). MSC: 60C05 05A16 05A19 60F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Yanxin; Sun, Yidong; Zhao, Di Generalized Delannoy matrices and their combinatorial properties. (English) Zbl 1518.05028 Graphs Comb. 39, No. 2, Paper No. 19, 20 p. (2023). MSC: 05B20 05C38 05A15 05A10 05A19 05A40 × Cite Format Result Cite Review PDF Full Text: DOI
Rukhin, Andrew L. Orthogonal polynomials for self-dual weights. (English) Zbl 1519.42026 J. Approx. Theory 288, Article ID 105865, 20 p. (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 42C05 60B05 60A10 15B52 × Cite Format Result Cite Review PDF Full Text: DOI
Hong, Siao; Huang, Meiling; Li, Yuanlin A sharp upper bound for the sum of reciprocals of least common multiples. II. (English) Zbl 1512.11002 Bull. Aust. Math. Soc. 107, No. 1, 10-21 (2023). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11A05 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Sills, Andrew V. A refinement of the binomial distribution using the quantum binomial theorem. (English) Zbl 07649569 Commun. Stat., Theory Methods 52, No. 2, 294-308 (2023). MSC: 60C05 05A30 05A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McDowell, Eoghan Flagged Schur polynomial duality via a lattice path bijection. (English) Zbl 1506.05009 Electron. J. Comb. 30, No. 1, Research Paper P1.5, 17 p. (2023). MSC: 05A10 05A19 05E05 05A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Levental, S.; Vellaisamy, P. Formulas for the divergence operator in isonormal Gaussian space. (English) Zbl 1505.60058 Stat. Probab. Lett. 194, Article ID 109743, 12 p. (2023). MSC: 60H07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Xiaoxia; Xu, Chang \(q\)-supercongruences on triple and quadruple sums. (English) Zbl 1522.11004 Result. Math. 78, No. 1, Paper No. 27, 14 p. (2023). MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Chuanan A \(q\)-supercongruence from a \(q\)-analogue of Whipple’s \({}_3F_2\) summation formula. (English) Zbl 1506.11007 J. Comb. Theory, Ser. A 194, Article ID 105705, 14 p. (2023). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 05A30 33C20 11B65 11C08 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Agievich, Sergeĭ Valer’evich An upper bound on binomial coefficients in the de Moivre-Laplace form. (Russian. English summary) Zbl 07973380 Zh. Beloruss. Gos. Univ., Mat., Inform. 2022, No. 1, 66-74 (2022). MSC: 60C05 94D10 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Moretti, Alessio Tri-simplicial contradiction: the “Pascalian 3D simplex” for the oppositional tri-segment. (English) Zbl 1544.18027 Beziau, Jean-Yves (ed.) et al., The exoteric square of opposition. The sixth world congress on the square of opposition, Crete, Greece, November 1–5, 2018. Cham: Birkhäuser. Stud. Univers. Log., 347-479 (2022). MSC: 18N50 11B65 03B50 18F20 03B53 03A05 × Cite Format Result Cite Review PDF Full Text: DOI
Lim, Dongkyu; Rathie, Arjun K. A short derivation of an elegant sum involving central binomial coefficients due to László via a hypergeometric series approach. (English) Zbl 1549.40005 Contrib. Math. 5, 43-44 (2022). MSC: 40A05 05A10 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Agratini, Octavian; Precup, Radu Iterates of multidimensional approximation operators via Perov theorem. (English) Zbl 1538.41041 Carpathian J. Math. 38, No. 3, 539-546 (2022). MSC: 41A36 41A63 × Cite Format Result Cite Review PDF Full Text: DOI
Küstner, Josef; Schlosser, Michael J.; Yoo, Meesue Lattice paths and negatively indexed weight-dependent binomial coefficients. (English) Zbl 1515.05017 Sémin. Lothar. Comb. 86B, Article 76, 12 p. (2022). MSC: 05A10 11B65 11B73 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Prunescu, Mihai Symmetries in the Pascal triangle: \(p\)-adic valuation, sign-reduction modulo \(p\) and the last non-zero digit. (English) Zbl 07691483 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 65(113), No. 4, 431-447 (2022). MSC: 11A07 28A80 68Q45 × Cite Format Result Cite Review PDF
Adad, René Newton vs Leibniz: two closely related formulas. (Newton vs Leibniz: deux formules étrotement liées.) (French. English summary) Zbl 1520.26004 Quadrature 125, 24-28 (2022). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 26A24 05A10 × Cite Format Result Cite Review PDF
Hauchecorne, Bertrand The saga of great theorems. Pascal’s triangle and Newton’s binomial. (La saga des grands théorèmes.) (French) Zbl 1519.11008 Quadrature 125, 5-7 (2022). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11B65 05A10 × Cite Format Result Cite Review PDF
Liu, Ji-Cai; Zhao, Shan-Shan Truncations of Gauss’ square exponent theorem. (English) Zbl 1538.11059 Czech. Math. J. 72, No. 4, 1183-1189 (2022). MSC: 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Hassani, Mehdi; Marie, Mahmoud The number theoretic omega function and summations involving the exponents of prime numbers in the factorization of factorials. (English) Zbl 1523.11044 Bull. Iran. Math. Soc. 48, No. 6, 3501-3533 (2022). MSC: 11B65 11A41 11A51 11N56 × Cite Format Result Cite Review PDF Full Text: DOI
Doty, Stephen R. Doubly stochastic matrices and Schur-Weyl duality for partition algebras. (English) Zbl 1525.15025 Electron. J. Comb. 29, No. 4, Research Paper P4.28, 18 p. (2022). Reviewer: Mark Wildon (Egham) MSC: 15B51 05B20 05E40 05A05 05A10 20B30 20C30 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jochemko, Katharina Linear recursions for integer point transforms. (English) Zbl 1503.52022 Kasprzyk, Alexander M. (ed.) et al., Interactions with lattice polytopes. Selected papers based on the presentations at the workshop, Magdeburg, Germany, September 14–16, 2017. Cham: Springer. Springer Proc. Math. Stat. 386, 221-231 (2022). MSC: 52B20 14M25 13F55 13F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Xiaoyuan; Chu, Wenchang Series with harmonic-like numbers and squared binomial coefficients. (English) Zbl 1510.11072 Rocky Mt. J. Math. 52, No. 5, 1849-1866 (2022). MSC: 11B65 05A19 05A10 33C20 65B10 33C75 × Cite Format Result Cite Review PDF Full Text: DOI Link
Rowland, Eric Lucas’ theorem modulo \(p^2\). (English) Zbl 1527.11016 Am. Math. Mon. 129, No. 9, 846-855 (2022). Reviewer: Uğur Duran (İskenderun) MSC: 11B65 11A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Gluck, David A Fourier approach to pizza inequity. (English) Zbl 1498.51013 Arch. Math. 119, No. 4, 381-387 (2022). Reviewer: Martin Lukarevski (Skopje) MSC: 51M04 42A16 91B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xi; Yang, Arthur Li Bo; Zhao, James Jing Yu Recurrences for Callan’s generalization of Narayana polynomials. (English) Zbl 1502.05008 J. Syst. Sci. Complex. 35, No. 4, 1573-1585 (2022). MSC: 05A10 60F05 05A15 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Rampersad, Narad; Shallit, Jeffrey Congruence properties of combinatorial sequences via Walnut and the Rowland-Yassawi-Zeilberger automaton. (English) Zbl 1529.68239 Electron. J. Comb. 29, No. 3, Research Paper P3.36, 13 p. (2022). Reviewer: Štěpán Holub (Praha) MSC: 68R15 11A07 11B65 11B85 68Q45 68V15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, William Y. C.; Jia, Ivy D. D. Semi-invariants of binary forms and Sylvester’s theorem. (English) Zbl 1495.05010 Ramanujan J. 59, No. 1, 297-311 (2022). MSC: 05A10 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Ji-Cai A variation of the \(q\)-Wolstenholme theorem. (English) Zbl 1496.11004 Ann. Mat. Pura Appl. (4) 201, No. 4, 1993-2000 (2022). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 11A07 11B65 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Arjika, Sama; Chaudhary, M. P.; Hounkonnou, M. N. Heine’s transformation formula through \(q\)-difference equations. (English) Zbl 1491.05032 J. Ramanujan Soc. Math. Math. Sci. 9, No. 2, 83-96 (2022). MSC: 05A30 11B65 33D15 33D60 39A13 × Cite Format Result Cite Review PDF Full Text: Link
Li, Yue-Wu; Qi, Feng A sum of an alternating series involving central binomial numbers and its three proofs. (English) Zbl 1509.40001 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 29, No. 1, 31-35 (2022). MSC: 40A05 40A25 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Wenchang \(q\)-binomial sums toward Euler’s pentagonal number theorem. (English) Zbl 1516.11024 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1545-1557 (2022). MSC: 11B65 33D15 11P84 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Chuanan \(q\)-supercongruences from gasper and Rahman’s summation formula. (English) Zbl 1515.11005 Adv. Appl. Math. 139, Article ID 102376, 17 p. (2022). MSC: 11A07 33D15 11B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Zhilin; Tang, Lang; Huang, Ningjing A detailed description of the binomial theorem and an application to permutation binomials over finite fields. (English) Zbl 1487.05016 J. Appl. Math. Comput. 68, No. 1, 177-198 (2022). MSC: 05A05 11T06 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Chandan; Pant, G. S.; Singh, Sunil Bailey’s transform and Karlsson-Minton formula. (English) Zbl 1499.05067 South East Asian J. Math. Math. Sci. 18, No. 1, 191-196 (2022). MSC: 05A30 33D15 × Cite Format Result Cite Review PDF Full Text: Link
Fulman, Jason; Kim, Gene B.; Lee, Sangchul Central limit theorem for peaks of a random permutation in a fixed conjugacy class of \(S_n\). (English) Zbl 1487.60052 Ann. Comb. 26, No. 1, 97-123 (2022). Reviewer: Alessandra Cauli (Torino) MSC: 60F05 05A15 05E05 60C05 05A05 05A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Swanson, Joshua P. On a theorem of Baxter and Zeilberger via a result of Roselle. (English) Zbl 1486.05009 Ann. Comb. 26, No. 1, 87-95 (2022). MSC: 05A05 05A10 05A15 05A16 05A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Du, Lara; Lagarias, Jeffrey C. Partial factorizations of products of binomial coefficients. (English) Zbl 1491.11027 Int. J. Number Theory 18, No. 3, 691-728 (2022). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 11B65 11B57 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Noble, Eduardo The rise and fall of the German combinatorial analysis. (English) Zbl 1502.01008 Frontiers in the History of Science. Cham: Birkhäuser (ISBN 978-3-030-93819-2/pbk; 978-3-030-93820-8/ebook). viii, 421 p. (2022). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 01-02 05-03 01A50 01A55 × Cite Format Result Cite Review PDF Full Text: DOI
Belovas, Igoris Series with binomial-like coefficients for the Riemann zeta function. (English) Zbl 1497.11197 Ann. Mat. Pura Appl. (4) 201, No. 2, 903-912 (2022). MSC: 11M06 11B65 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Lasoń, Michał; Michałek, Mateusz A note on seminormality of cut polytopes. (English) Zbl 1487.13044 SIAM J. Discrete Math. 36, No. 1, 114-117 (2022). Reviewer: Mitra Koley (Kolkata) MSC: 13F65 05C70 05C83 05C15 52B10 13F45 05C10 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eliahou, Shalom; Mazumdar, Eshita Iterated sumsets and Hilbert functions. (English) Zbl 1479.13036 J. Algebra 593, 274-294 (2022). MSC: 13P25 11P70 05E40 11B13 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ouimet, Frédéric An improvement of Tusnády’s inequality in the bulk. (English) Zbl 1482.60028 Adv. Appl. Math. 133, Article ID 102270, 24 p. (2022). Reviewer: Hans Daduna (Hamburg) MSC: 60E15 62E17 62E20 60F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhu, Jun-Ming; Luo, Qiu-Ming A novel proof of two partial fraction decompositions. (English) Zbl 1494.05012 Adv. Difference Equ. 2021, Paper No. 274, 8 p. (2021). MSC: 05A19 33C20 05A10 33B15 42A15 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Sunil; Shahjade, Mohmmad Basic analogue of Stieltjes transform and its properties. (English) Zbl 1499.44008 South East Asian J. Math. Math. Sci. 17, No. 2, 93-96 (2021). MSC: 44A10 47D03 × Cite Format Result Cite Review PDF Full Text: Link
Seayap, Chaiya Some properties of nonlinear general Diophantine equation \((4n-1)^x + 17^y = z^2\). (English) Zbl 1499.11174 JP J. Algebra Number Theory Appl. 52, No. 1, 115-125 (2021). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Loc Hung, Tran; Tri Kien, Phan On the rate of convergence in limit theorems for negative-binomial random sums. (English) Zbl 1487.60054 Lobachevskii J. Math. 42, No. 13, 3127-3140 (2021). MSC: 60F05 60E07 60G50 60E05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Nadia; Chu, Wenchang Bailey and Daum’s \(q\)-Kummer theorem and extensions. (English) Zbl 1508.33016 Contrib. Discrete Math. 16, No. 3, 31-41 (2021). MSC: 33D15 05A30 × Cite Format Result Cite Review PDF Full Text: Link
Schmidt-Hieber, Johannes; Schneider, Laura Fee; Staudt, Thomas; Krajina, Andrea; Aspelmeier, Timo; Munk, Axel Posterior analysis of \(n\) in the binomial \((n,p)\) problem with both parameters unknown – with applications to quantitative nanoscopy. (English) Zbl 1486.62088 Ann. Stat. 49, No. 6, 3534-3558 (2021). MSC: 62G05 62F12 62F15 62P10 62P35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Campbell, John M.; Chu, Wenchang Lemniscate-like constants and infinite series. (English) Zbl 1492.33001 Math. Slovaca 71, No. 4, 845-858 (2021). MSC: 33C05 33B15 33E20 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Hanfei; Wang, Chun Some \(q\)-supercongruences modulo the fifth power of a cyclotomic polynomial from squares of \(q\)-hypergeometric series. (English) Zbl 1490.11006 Result. Math. 76, No. 4, Paper No. 222, 17 p. (2021). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 33C20 33D15 05A30 05A10 11M06 × Cite Format Result Cite Review PDF Full Text: DOI
Kovačević, M. On the maximum entropy of a sum of independent discrete random variables. (English) Zbl 1479.60029 Theory Probab. Appl. 66, No. 3, 482-487 (2021) and Teor. Veroyatn. Primen. 66, No. 3, 601-609 (2021). MSC: 60E05 60E15 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chubarikov, V. N. Mean-value theorem for multiple trigonometric sums on the sequence of Bell polynomials. (English. Russian original) Zbl 1490.11082 Proc. Steklov Inst. Math. 314, 290-299 (2021); translation from Tr. Mat. Inst. Steklova 314, 301-310 (2021). Reviewer: Jiyou Li (Shanghai) MSC: 11L07 11L40 11L03 × Cite Format Result Cite Review PDF Full Text: DOI
Krebs, Johannes; Roycraft, Benjamin; Polonik, Wolfgang On approximation theorems for the Euler characteristic with applications to the bootstrap. (English) Zbl 1491.60049 Electron. J. Stat. 15, No. 2, 4462-4509 (2021). Reviewer: Carlos Meniño (Vigo) MSC: 60F17 62F40 60B10 60D05 57R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Wei, Chuanan; Liu, Yudong; Wang, Xiaoxia \(q\)-supercongruences from the \(q\)-Saalschütz identity. (English) Zbl 1494.33015 Proc. Am. Math. Soc. 149, No. 11, 4853-4861 (2021). Reviewer: Jitender Singh (Amritsar) MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sung Sik U; Kyu Song Chae Proof of some combinatorial identities by an analytic method. (English) Zbl 1469.05015 Online J. Anal. Comb. 16, Article 3, 11 p. (2021). MSC: 05A19 05A10 32A55 × Cite Format Result Cite Review PDF Full Text: Link
Chu, Wenchang; Campbell, John Maxwell Harmonic sums from the Kummer theorem. (English) Zbl 1471.33003 J. Math. Anal. Appl. 501, No. 2, Article ID 125179, 37 p. (2021). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 33C05 11B65 33B15 33C15 × Cite Format Result Cite Review PDF Full Text: DOI
Marchand, Éric; Rancourt, Fanny; Strawderman, William E. Minimax estimation of a restricted mean for a one-parameter exponential family. (English) Zbl 1460.62020 J. Stat. Plann. Inference 212, 114-125 (2021). MSC: 62C15 62C20 62F10 62F30 × Cite Format Result Cite Review PDF Full Text: DOI
Terwilliger, Paul Double lowering operators on polynomials. (English) Zbl 1467.33014 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 009, 38 p. (2021). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 33D15 15A21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khamdamov, Isakjan M.; Chay, Zoya S. Joint distribution of the number of vertices and the area of convex hulls generated by a uniform distribution in a convex polygon. (English) Zbl 1535.60025 J. Sib. Fed. Univ., Math. Phys. 14, No. 2, 230-241 (2021). MSC: 60D05 60F05 60G55 52A22 60G44 × Cite Format Result Cite Review PDF Full Text: MNR
Chen, Xiaojing; Chu, Wenchang Evaluation of nonterminating \(_3F_2(\frac{1}{4})\)-series perturbed by three integer parameters. (English) Zbl 1473.33004 Anal. Math. Phys. 11, No. 2, Paper No. 67, 22 p. (2021). Reviewer: D. L. Suthar (Dessie) MSC: 33C20 05A10 × Cite Format Result Cite Review PDF Full Text: DOI
Bahadır, Selim; Ceyhan, Elvan On the number of weakly connected subdigraphs in random \(k\)NN digraphs. (English) Zbl 1456.05079 Discrete Comput. Geom. 65, No. 1, 116-142 (2021). MSC: 05C30 05C40 60F05 60G55 05C80 05C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rashed, Roshdi (ed.) [al-Samaw’al] Arithmetic algebra in the 12th century: “al-Bāhir” of al-Samaw’al. (L’algèbre arithmétique au XIIe siècle : “al-Bāhir” d’al-Samaw’al.) (French, Arabic) Zbl 1487.01034 Scientia Graeco-Arabica 32. Berlin: De Gruyter (ISBN 978-3-11-073834-6/hbk; 978-3-11-073346-4/ebook). lxxi, 255 p. (2021). Reviewer: Mowaffaq Hajja (Amman) MSC: 01A75 01A30 × Cite Format Result Cite Review PDF
Cao, Jian; Arjika, Sama; Cai, Tianxin Another homogeneous \(q\)-difference operators and their applications. (English) Zbl 1515.33015 Appl. Anal. Optim. 4, No. 3, 405-419 (2020). MSC: 33D15 05A30 33D45 × Cite Format Result Cite Review PDF Full Text: Link
Srivastava, H. M.; El-Deeb, Sheza M. The Faber polynomial expansion method and the Taylor-Maclaurin coefficient estimates of bi-close-to-convex functions connected with the \(q\)-convolution. (English) Zbl 1484.30027 AIMS Math. 5, No. 6, 7087-7106 (2020). MSC: 30C45 05A30 11B65 30C50 47B38 × Cite Format Result Cite Review PDF Full Text: DOI
Srivastava, Hari Mohan; Arjika, Sama Generating functions for some families of the generalized Al-Salam-Carlitz \(q\)-polynomials. (English) Zbl 1486.33022 Adv. Difference Equ. 2020, Paper No. 498, 16 p. (2020). MSC: 33D15 33D05 33D45 05A30 11B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ono, Ken; Schneider, Robert; Wagner, Ian Partition-theoretic formulas for arithmetic densities. II. (English) Zbl 1471.05011 Hardy-Ramanujan J. 43, 1-16 (2020). MSC: 05A17 05A30 11P82 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Chubarikov, Vladimir Nikolaevich The mean-value theorem for trigonometric sums on the sequence of binomial type polynomials. (Russian. English summary) Zbl 1457.11110 Chebyshevskiĭ Sb. 21, No. 2(74), 403-416 (2020). MSC: 11L07 42C05 × Cite Format Result Cite Review PDF Full Text: MNR