Lim, Dongkyu; Rathie, Arjun Kumar A note on two known sums involving central binomial coefficients with an application. (English) Zbl 07558437 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 29, No. 2, 171-177 (2022). MSC: 41A58 33C05 11B65 26A09 33C20 PDF BibTeX XML Cite \textit{D. Lim} and \textit{A. K. Rathie}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 29, No. 2, 171--177 (2022; Zbl 07558437) Full Text: DOI OpenURL
Miska, Piotr Binomial coefficients, roots of unity and powers of prime numbers. (English) Zbl 07544758 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1489-1506 (2022). MSC: 11A07 11A41 11B65 PDF BibTeX XML Cite \textit{P. Miska}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1489--1506 (2022; Zbl 07544758) Full Text: DOI OpenURL
Campbell, John M.; Chen, Kwang-Wu Explicit identities for infinite families of series involving squared binomial coefficients. (English) Zbl 07516728 J. Math. Anal. Appl. 513, No. 2, Article ID 126219, 23 p. (2022). MSC: 11B65 33E05 05A10 PDF BibTeX XML Cite \textit{J. M. Campbell} and \textit{K.-W. Chen}, J. Math. Anal. Appl. 513, No. 2, Article ID 126219, 23 p. (2022; Zbl 07516728) Full Text: DOI OpenURL
Bazeniar, Abdelghafour; Ahmia, Moussa; Bouchair, Abderrahmane Log-concave sequences of bi\(^{\text{s}}\)nomial coefficients with their analogs and symmetric functions. (English) Zbl 1483.05005 Indian J. Pure Appl. Math. 53, No. 1, 127-137 (2022). MSC: 05A10 05A20 05A30 05E05 11B65 PDF BibTeX XML Cite \textit{A. Bazeniar} et al., Indian J. Pure Appl. Math. 53, No. 1, 127--137 (2022; Zbl 1483.05005) Full Text: DOI OpenURL
Babu, C. G. Karthick; Sankaranarayanan, A. On an estimate of a certain non-linear exponential sum. (English) Zbl 1483.11172 Indian J. Pure Appl. Math. 53, No. 1, 1-9 (2022). MSC: 11L07 11B65 PDF BibTeX XML Cite \textit{C. G. K. Babu} and \textit{A. Sankaranarayanan}, Indian J. Pure Appl. Math. 53, No. 1, 1--9 (2022; Zbl 1483.11172) Full Text: DOI OpenURL
Batır, Necdet; Chen, Kwang-Wu Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers. (English) Zbl 07502877 J. Difference Equ. Appl. 28, No. 2, 222-243 (2022). Reviewer: Gabor Hetyei (Charlotte) MSC: 05A19 05A10 11B65 PDF BibTeX XML Cite \textit{N. Batır} and \textit{K.-W. Chen}, J. Difference Equ. Appl. 28, No. 2, 222--243 (2022; Zbl 07502877) Full Text: DOI OpenURL
Sun, Zhi-Wei On Motzkin numbers and central trinomial coefficients. (English) Zbl 07483990 Adv. Appl. Math. 136, Article ID 102319, 25 p. (2022). MSC: 11B65 05A10 05A19 11A07 11B75 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Adv. Appl. Math. 136, Article ID 102319, 25 p. (2022; Zbl 07483990) Full Text: DOI arXiv OpenURL
Pan, Hao Touchard type identity for \(q\)-Narayana numbers. (English) Zbl 1483.05014 J. Comb. Theory, Ser. A 188, Article ID 105595, 16 p. (2022). MSC: 05A30 05A10 05A19 PDF BibTeX XML Cite \textit{H. Pan}, J. Comb. Theory, Ser. A 188, Article ID 105595, 16 p. (2022; Zbl 1483.05014) Full Text: DOI OpenURL
Chen, Hongwei Interesting Ramanujan-like series associated with powers of central binomial coefficients. (English) Zbl 1487.11027 J. Integer Seq. 25, No. 1, Article 22.1.8, 16 p. (2022). Reviewer: Toufik Mansour (Haifa) MSC: 11B83 11B65 05A10 PDF BibTeX XML Cite \textit{H. Chen}, J. Integer Seq. 25, No. 1, Article 22.1.8, 16 p. (2022; Zbl 1487.11027) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{H.-X. Ni} and \textit{L.-Y. Wang}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 30, 7 p. (2022; Zbl 1480.11003) Full Text: DOI arXiv OpenURL
Nimbran, Amrik Singh; Levrie, Paul; Sofo, Anthony Harmonic-binomial Euler-like sums via expansions of \((\arcsin x)^p\). (English) Zbl 1478.05008 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 23, 23 p. (2022). MSC: 05A10 11B68 11B65 11M06 11Y60 33B15 41A58 PDF BibTeX XML Cite \textit{A. S. Nimbran} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 23, 23 p. (2022; Zbl 1478.05008) Full Text: DOI OpenURL
Lee, David Taehee; Lee, Juhyep; Park, Jinseo On the extent of the divisibility of fibonomial coefficients by a prime number. (English) Zbl 07570439 Korean J. Math. 29, No. 4, 733-740 (2021). MSC: 11B39 11B65 PDF BibTeX XML Cite \textit{D. T. Lee} et al., Korean J. Math. 29, No. 4, 733--740 (2021; Zbl 07570439) Full Text: DOI OpenURL
Si, Xin Euler-type sums involving multiple harmonic sums and binomial coefficients. (English) Zbl 1485.11133 Open Math. 19, 1612-1619 (2021). MSC: 11M32 11B65 PDF BibTeX XML Cite \textit{X. Si}, Open Math. 19, 1612--1619 (2021; Zbl 1485.11133) Full Text: DOI OpenURL
Kostin, Andreĭ Borisovich; Sherstyukov, Vladimir Borisovich Integral representations of quantities associated with gamma function. (Russian. English summary) Zbl 07501571 Ufim. Mat. Zh. 13, No. 4, 51-64 (2021); translation in Ufa Math. J. 13, No. 4, 50-62 (2021). MSC: 33B15 11B65 PDF BibTeX XML Cite \textit{A. B. Kostin} and \textit{V. B. Sherstyukov}, Ufim. Mat. Zh. 13, No. 4, 51--64 (2021; Zbl 07501571); translation in Ufa Math. J. 13, No. 4, 50--62 (2021) Full Text: DOI MNR OpenURL
Sanna, Carlo Practical central binomial coefficients. (English) Zbl 1481.11027 Quaest. Math. 44, No. 9, 1141-1144 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11B83 11B65 05A10 PDF BibTeX XML Cite \textit{C. Sanna}, Quaest. Math. 44, No. 9, 1141--1144 (2021; Zbl 1481.11027) Full Text: DOI arXiv OpenURL
Chu, Wenchang Disjoint convolution sums of Stirling numbers. (English) Zbl 07424445 Math. Commun. 26, No. 2, 239-251 (2021). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B65 11B73 05A10 PDF BibTeX XML Cite \textit{W. Chu}, Math. Commun. 26, No. 2, 239--251 (2021; Zbl 07424445) Full Text: Link OpenURL
Kehila, Walid Some congruences for generalized harmonic numbers and binomial coefficients with roots of unity. (English) Zbl 1484.11068 Indian J. Pure Appl. Math. 52, No. 2, 467-478 (2021). MSC: 11B65 11A07 11S80 PDF BibTeX XML Cite \textit{W. Kehila}, Indian J. Pure Appl. Math. 52, No. 2, 467--478 (2021; Zbl 1484.11068) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Guo, Dongwei; Chu, Wenchang Binomial sums with Pell and Lucas polynomials. (English) Zbl 1487.11019 Bull. Belg. Math. Soc. - Simon Stevin 28, No. 1, 133-145 (2021). Reviewer: Amin Witno (Amman) MSC: 11B65 11B39 PDF BibTeX XML Cite \textit{D. Guo} and \textit{W. Chu}, Bull. Belg. Math. Soc. - Simon Stevin 28, No. 1, 133--145 (2021; Zbl 1487.11019) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Monatsh. Math. 196, No. 3, 577--606 (2021; Zbl 1479.11014) Full Text: DOI arXiv OpenURL
Kessler, David A.; Schiff, Jeremy The asymptotics of factorials, binomial coefficients and Catalan numbers. (English) Zbl 1484.11069 J. Integer Seq. 24, No. 8, Article 21.8.3, 15 p. (2021). Reviewer: Toufik Mansour (Haifa) MSC: 11B65 05A10 30E15 41A60 PDF BibTeX XML Cite \textit{D. A. Kessler} and \textit{J. Schiff}, J. Integer Seq. 24, No. 8, Article 21.8.3, 15 p. (2021; Zbl 1484.11069) Full Text: Link OpenURL
Armbruster, Ashley; Barger, Grace; Bykova, Sofya; Dvoracheck, Tyler; Eckard, Emily; Harrington, Joshua; Sun, Yewen; Wong, Tony W. H. On binomial coefficients associated with Sierpiński and Riesel numbers. (English) Zbl 1482.11013 Integers 21, Paper A61, 14 p. (2021). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11A51 11B65 05A10 PDF BibTeX XML Cite \textit{A. Armbruster} et al., Integers 21, Paper A61, 14 p. (2021; Zbl 1482.11013) Full Text: arXiv Link OpenURL
Chu, Wenchang; Kiliç, Emrah Binomial sums involving Catalan numbers. (English) Zbl 1473.05017 Rocky Mt. J. Math. 51, No. 4, 1221-1225 (2021). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 05A10 11B65 33C20 PDF BibTeX XML Cite \textit{W. Chu} and \textit{E. Kiliç}, Rocky Mt. J. Math. 51, No. 4, 1221--1225 (2021; Zbl 1473.05017) OpenURL
Batır, Necdet; Kucuk, Hakan; Sorgun, Sezer Convolution identities involving the central binomial coefficients and Catalan numbers. (English) Zbl 1485.11040 Trans. Comb. 10, No. 4, 225-238 (2021). MSC: 11B65 05A10 PDF BibTeX XML Cite \textit{N. Batır} et al., Trans. Comb. 10, No. 4, 225--238 (2021; Zbl 1485.11040) Full Text: DOI OpenURL
Uhl, Michael Recurrence equation and integral representation of Apéry sums. (English) Zbl 1479.11143 Eur. J. Math. 7, No. 2, 793-806 (2021). MSC: 11M06 11J86 11G55 11B65 PDF BibTeX XML Cite \textit{M. Uhl}, Eur. J. Math. 7, No. 2, 793--806 (2021; Zbl 1479.11143) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{W. Chu} and \textit{J. M. Campbell}, J. Math. Anal. Appl. 501, No. 2, Article ID 125179, 37 p. (2021; Zbl 1471.33003) Full Text: DOI OpenURL
Dababneh, Issa; Elmer, Mark; McCulloch, Ryan A golden penney game. (English) Zbl 1466.91065 J. Integer Seq. 24, No. 6, Article 21.6.2, 13 p. (2021). MSC: 91A60 91A05 60C05 05A10 11B65 11B39 PDF BibTeX XML Cite \textit{I. Dababneh} et al., J. Integer Seq. 24, No. 6, Article 21.6.2, 13 p. (2021; Zbl 1466.91065) Full Text: Link OpenURL
Batır, Necdet Finite binomial sum identities with harmonic numbers. (English) Zbl 1465.05005 J. Integer Seq. 24, No. 4, Article 21.4.3, 22 p. (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 05A10 05A19 PDF BibTeX XML Cite \textit{N. Batır}, J. Integer Seq. 24, No. 4, Article 21.4.3, 22 p. (2021; Zbl 1465.05005) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{H. Pan}, Acta Arith. 198, No. 2, 169--186 (2021; Zbl 1478.11006) Full Text: DOI arXiv OpenURL
Chu, Wenchang Circular sums of binomial coefficients. (English) Zbl 1471.11090 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 92, 6 p. (2021). MSC: 11B65 11B39 PDF BibTeX XML Cite \textit{W. Chu}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 92, 6 p. (2021; Zbl 1471.11090) Full Text: DOI OpenURL
Batır, Necdet; Sofo, Anthony A unified treatment of certain classes of combinatorial identities. (English) Zbl 1460.05021 J. Integer Seq. 24, No. 3, Article 21.3.2, 18 p. (2021). MSC: 05A19 05A10 11B39 11B73 11B65 PDF BibTeX XML Cite \textit{N. Batır} and \textit{A. Sofo}, J. Integer Seq. 24, No. 3, Article 21.3.2, 18 p. (2021; Zbl 1460.05021) Full Text: Link OpenURL
Ballot, Christian The \(p\)-adic valuation of Lucasnomials when \(p\) is a special prime. (English) Zbl 07298073 J. Integer Seq. 24, No. 1, Article 21.1.4, 14 p. (2021). MSC: 11B65 11B39 PDF BibTeX XML Cite \textit{C. Ballot}, J. Integer Seq. 24, No. 1, Article 21.1.4, 14 p. (2021; Zbl 07298073) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{H. M. Srivastava} and \textit{S. M. El-Deeb}, AIMS Math. 5, No. 6, 7087--7106 (2020; Zbl 1484.30027) Full Text: DOI OpenURL
Phunphayap, Phakhinkon; Pongsriiam, Prapanpong Explicit formulas for the \(p\)-adic valuations of fibonomial coefficients. II. (English) Zbl 1484.11055 AIMS Math. 5, No. 6, 5685-5699 (2020). MSC: 11B39 11B65 PDF BibTeX XML Cite \textit{P. Phunphayap} and \textit{P. Pongsriiam}, AIMS Math. 5, No. 6, 5685--5699 (2020; Zbl 1484.11055) Full Text: DOI OpenURL
Tikhonov, I. V.; Sherstyukov, V. B.; Tsvetkovich, D. G. Comparative analysis of two-sided estimates of the central binomial coefficient. (Russian. English summary) Zbl 1475.62117 Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 1, 70-95 (2020). MSC: 62F10 05A10 11B65 PDF BibTeX XML Cite \textit{I. V. Tikhonov} et al., Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 1, 70--95 (2020; Zbl 1475.62117) Full Text: DOI MNR OpenURL
Swamy, S. R.; Mamatha, P. K. Certain classes of bi-univalent functions associated with \(q\)-analogue of Bessel functions. (English) Zbl 07400765 South East Asian J. Math. Math. Sci. 16, No. 3, 61-82 (2020). MSC: 30C45 11B65 30C50 33C10 33C45 PDF BibTeX XML Cite \textit{S. R. Swamy} and \textit{P. K. Mamatha}, South East Asian J. Math. Math. Sci. 16, No. 3, 61--82 (2020; Zbl 07400765) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{R. Tauraso}, Bull. Aust. Math. Soc. 103, No. 3, 379--389 (2020; Zbl 1471.11093) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
El-Deeb, Sheza M.; El-Matary, Bassant M. Subclasses of analytic functions with respect to symmetric and conjugate points connected with \(q\)-analogue of the Bessel function. (English) Zbl 1474.30145 Publ. Inst. Math., Nouv. Sér. 108(122), 47-61 (2020). MSC: 30C50 30C45 11B65 47B38 PDF BibTeX XML Cite \textit{S. M. El-Deeb} and \textit{B. M. El-Matary}, Publ. Inst. Math., Nouv. Sér. 108(122), 47--61 (2020; Zbl 1474.30145) Full Text: DOI OpenURL
Chu, Wenchang Alternating series of Aapéry-type for the Riemann zeta function. (English) Zbl 1454.11155 Contrib. Discrete Math. 15, No. 3, 108-116 (2020). MSC: 11M06 11B65 PDF BibTeX XML Cite \textit{W. Chu}, Contrib. Discrete Math. 15, No. 3, 108--116 (2020; Zbl 1454.11155) Full Text: DOI OpenURL
Qi, Feng; Kouba, Omran; Kaddoura, Issam Computation of several Hessenberg determinants. (English) Zbl 1469.15009 Math. Slovaca 70, No. 6, 1521-1537 (2020). MSC: 15A15 05A10 11B65 11C20 15B36 65F40 PDF BibTeX XML Cite \textit{F. Qi} et al., Math. Slovaca 70, No. 6, 1521--1537 (2020; Zbl 1469.15009) Full Text: DOI OpenURL
Zhang, Laiping; Zhang, Bingcai; Ji, Wanhui The Clausen function representations of one class infinite series. (Chinese. English summary) Zbl 1463.05010 Math. Pract. Theory 50, No. 9, 223-229 (2020). MSC: 05A10 05A19 PDF BibTeX XML Cite \textit{L. Zhang} et al., Math. Pract. Theory 50, No. 9, 223--229 (2020; Zbl 1463.05010) OpenURL
Xue, Lin; Zhang, Zhizheng Extensions of an approach to generalized Fibonacci and Lucas numbers with binomial coefficients. (English) Zbl 1474.11055 Chin. Q. J. Math. 35, No. 1, 56-62 (2020). MSC: 11B39 11B65 05A10 05A19 PDF BibTeX XML Cite \textit{L. Xue} and \textit{Z. Zhang}, Chin. Q. J. Math. 35, No. 1, 56--62 (2020; Zbl 1474.11055) Full Text: DOI OpenURL
Bennett, Curtis; Carrillo, Juan; Machacek, John; Sagan, Bruce E. Combinatorial interpretations of Lucas analogues of binomial coefficients and Catalan numbers. (English) Zbl 1451.05009 Ann. Comb. 24, No. 3, 503-530 (2020). MSC: 05A10 05A15 05A19 11B39 PDF BibTeX XML Cite \textit{C. Bennett} et al., Ann. Comb. 24, No. 3, 503--530 (2020; Zbl 1451.05009) Full Text: DOI arXiv OpenURL
Gu, Cheng-Yang; Guo, Victor J. W. \(q\)-analogues of two supercongruences of Z.-W. Sun. (English) Zbl 07250687 Czech. Math. J. 70, No. 3, 757-765 (2020). MSC: 11B65 05A10 05A30 11A07 PDF BibTeX XML Cite \textit{C.-Y. Gu} and \textit{V. J. W. Guo}, Czech. Math. J. 70, No. 3, 757--765 (2020; Zbl 07250687) Full Text: DOI OpenURL
Barry, Paul On the central antecedents of integer (and other) sequences. (English) Zbl 1468.11250 J. Integer Seq. 23, No. 8, Article 20.8.3, 17 p. (2020). MSC: 11Y55 05A15 11B65 11B68 PDF BibTeX XML Cite \textit{P. Barry}, J. Integer Seq. 23, No. 8, Article 20.8.3, 17 p. (2020; Zbl 1468.11250) Full Text: Link OpenURL
Kılıç, Emrah; Prodinger, Helmut Formulæ for multi-parameter Gaussian \(q\)-binomial sums with applications. (English) Zbl 1478.11026 Indian J. Pure Appl. Math. 51, No. 2, 457-464 (2020). MSC: 11B65 05A30 11B37 PDF BibTeX XML Cite \textit{E. Kılıç} and \textit{H. Prodinger}, Indian J. Pure Appl. Math. 51, No. 2, 457--464 (2020; Zbl 1478.11026) Full Text: DOI OpenURL
Abel, Ulrich A short proof of the binomial identities of Frisch and Klamkin. (English) Zbl 1452.05006 J. Integer Seq. 23, No. 7, Article 20.7.1, 5 p. (2020). Reviewer: Uğur Duran (Iskenderun) MSC: 05A19 11B65 PDF BibTeX XML Cite \textit{U. Abel}, J. Integer Seq. 23, No. 7, Article 20.7.1, 5 p. (2020; Zbl 1452.05006) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{H.-X. Ni} and \textit{H. Pan}, Acta Arith. 194, No. 4, 367--381 (2020; Zbl 1464.11029) Full Text: DOI arXiv OpenURL
Spivey, Michael Z. Recurrent combinatorial sums and binomial-type theorems. (English) Zbl 1471.11092 J. Integer Seq. 23, No. 5, Article 20.5.5, 22 p. (2020). MSC: 11B65 05A10 11B37 11B73 65B10 PDF BibTeX XML Cite \textit{M. Z. Spivey}, J. Integer Seq. 23, No. 5, Article 20.5.5, 22 p. (2020; Zbl 1471.11092) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{C. Ballot}, J. Integer Seq. 23, No. 3, Article 20.3.7, 16 p. (2020; Zbl 1446.11005) Full Text: Link OpenURL
Chu, Wenchang; Kılıç, Emrah Quadratic sums of Gaussian \(q\)-binomial coefficients and Fibonomial coefficients. (English) Zbl 1477.11037 Ramanujan J. 51, No. 2, 229-243 (2020). MSC: 11B65 11B39 33D05 PDF BibTeX XML Cite \textit{W. Chu} and \textit{E. Kılıç}, Ramanujan J. 51, No. 2, 229--243 (2020; Zbl 1477.11037) Full Text: DOI OpenURL
Mikić, Jovan On certain sums divisible by the central binomial coefficient. (English) Zbl 1431.05003 J. Integer Seq. 23, No. 1, Article 20.1.6, 23 p. (2020). MSC: 05A10 05A19 PDF BibTeX XML Cite \textit{J. Mikić}, J. Integer Seq. 23, No. 1, Article 20.1.6, 23 p. (2020; Zbl 1431.05003) Full Text: Link OpenURL
Bai, Mei; Chu, Wenchang Seven equivalent binomial sums. (English) Zbl 1429.05016 Discrete Math. 343, No. 2, Article ID 111691, 5 p. (2020). MSC: 05A19 05A10 05A15 PDF BibTeX XML Cite \textit{M. Bai} and \textit{W. Chu}, Discrete Math. 343, No. 2, Article ID 111691, 5 p. (2020; Zbl 1429.05016) Full Text: DOI OpenURL
Stanley, Richard P.; Zanello, Fabrizio A generalization of a 1998 unimodality conjecture of Reiner and Stanton. (English) Zbl 1427.05011 J. Comb. 11, No. 1, 111-126 (2020). MSC: 05A10 05E05 05A17 05A19 PDF BibTeX XML Cite \textit{R. P. Stanley} and \textit{F. Zanello}, J. Comb. 11, No. 1, 111--126 (2020; Zbl 1427.05011) Full Text: DOI arXiv OpenURL
Leonetti, Paolo; Sanna, Carlo Practical numbers among the binomial coefficients. (English) Zbl 1454.11046 J. Number Theory 207, 145-155 (2020). Reviewer: Jürgen Spilker (Freiburg im Breisgau) MSC: 11B65 11N25 PDF BibTeX XML Cite \textit{P. Leonetti} and \textit{C. Sanna}, J. Number Theory 207, 145--155 (2020; Zbl 1454.11046) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{H.-X. Ni} and \textit{H. Pan}, J. Math. Anal. Appl. 481, No. 2, Article ID 123372, 12 p. (2020; Zbl 1471.11010) Full Text: DOI OpenURL
Zudilin, Wadim Congruences for \(q\)-binomial coefficients. (English) Zbl 1431.11032 Ann. Comb. 23, No. 3-4, 1123-1135 (2019). MSC: 11B65 05A10 11A07 PDF BibTeX XML Cite \textit{W. Zudilin}, Ann. Comb. 23, No. 3--4, 1123--1135 (2019; Zbl 1431.11032) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Koparal}, Turk. J. Math. 43, No. 5, 2642--2648 (2019; Zbl 1448.11050) Full Text: Link OpenURL
Chu, Wenchang; Kılıç, Emrah Cubic sums of \(q\)-binomial coefficients and the Fibonomial coefficients. (English) Zbl 1453.11026 Rocky Mt. J. Math. 49, No. 8, 2557-2569 (2019). MSC: 11B39 05A30 11B65 PDF BibTeX XML Cite \textit{W. Chu} and \textit{E. Kılıç}, Rocky Mt. J. Math. 49, No. 8, 2557--2569 (2019; Zbl 1453.11026) Full Text: DOI Euclid OpenURL
Mikić, Jovan Two new identities involving the Catalan numbers and sign-reversing involutions. (English) Zbl 1431.05020 J. Integer Seq. 22, No. 7, Article 19.7.7, 10 p. (2019). MSC: 05A19 05A10 PDF BibTeX XML Cite \textit{J. Mikić}, J. Integer Seq. 22, No. 7, Article 19.7.7, 10 p. (2019; Zbl 1431.05020) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{T. Cai} et al., Acta Math. Sin., Chin. Ser. 62, No. 4, 529--540 (2019; Zbl 1449.11038) Full Text: arXiv OpenURL
Lv, Lun; Pang, Sabrina X. M.; Song, Xingshuo Combinatorial proofs of two curious identities. (English) Zbl 07144808 Ars Comb. 143, 47-51 (2019). Reviewer: Balasubramanian Sury (Bangalore) MSC: 05A10 05A19 PDF BibTeX XML Cite \textit{L. Lv} et al., Ars Comb. 143, 47--51 (2019; Zbl 07144808) OpenURL
Chu, Wenchang Partial sums of binomial convolutions. (English) Zbl 07144766 Ars Comb. 145, 241-257 (2019). Reviewer: Balasubramanian Sury (Bangalore) MSC: 05A10 05A19 05A15 PDF BibTeX XML Cite \textit{W. Chu}, Ars Comb. 145, 241--257 (2019; Zbl 07144766) OpenURL
Németh, László Tetrahedron trinomial coefficient transform. (English) Zbl 1461.11038 Integers 19, Paper A41, 14 p. (2019). MSC: 11B65 11B75 05A10 PDF BibTeX XML Cite \textit{L. Németh}, Integers 19, Paper A41, 14 p. (2019; Zbl 1461.11038) Full Text: arXiv Link OpenURL
Sánchez de León, José Alfredo Calculation of binomial and multinomial coefficients by sequences of summations. (English) Zbl 1462.05011 Math. Comput. Sci. 13, No. 3, 403-415 (2019). MSC: 05A10 11B65 PDF BibTeX XML Cite \textit{J. A. Sánchez de León}, Math. Comput. Sci. 13, No. 3, 403--415 (2019; Zbl 1462.05011) Full Text: DOI OpenURL
Chern, Shane Combinatorial proof of an identity of Andrews and Yee. (English) Zbl 1418.05021 Ramanujan J. 49, No. 3, 505-513 (2019). MSC: 05A19 05A17 05A10 11P81 PDF BibTeX XML Cite \textit{S. Chern}, Ramanujan J. 49, No. 3, 505--513 (2019; Zbl 1418.05021) Full Text: DOI arXiv OpenURL
Karatsuba, E. A. On an identity with binomial coefficients. (English. Russian original) Zbl 1416.11034 Math. Notes 105, No. 1, 145-147 (2019); translation from Mat. Zametki 105, No. 1, 149-152 (2019). Reviewer: Uğur Duran (Hatay) MSC: 11B65 11Y60 PDF BibTeX XML Cite \textit{E. A. Karatsuba}, Math. Notes 105, No. 1, 145--147 (2019; Zbl 1416.11034); translation from Mat. Zametki 105, No. 1, 149--152 (2019) Full Text: DOI OpenURL
Belbachir, Hacène; Mehdaoui, Abdelghani; Szalay, László Diagonal sums in the Pascal pyramid. II: Applications. (English) Zbl 1440.11020 J. Integer Seq. 22, No. 3, Article 19.3.5, 11 p. (2019). MSC: 11B65 11B37 05A10 PDF BibTeX XML Cite \textit{H. Belbachir} et al., J. Integer Seq. 22, No. 3, Article 19.3.5, 11 p. (2019; Zbl 1440.11020) Full Text: Link OpenURL
Spivey, Michael Z. The art of proving binomial identities. (English) Zbl 1419.05002 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-0-8153-7942-3/hbk; 978-1-351-21582-4/ebook). xiv, 368 p. (2019). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05-01 05A10 11B65 PDF BibTeX XML Cite \textit{M. Z. Spivey}, The art of proving binomial identities. Boca Raton, FL: CRC Press (2019; Zbl 1419.05002) Full Text: DOI OpenURL
Pachev, Urusbi Mukhamedovich On algebra and arithmetic of binomial and Gaussian coefficients. (Russian. English summary) Zbl 1434.11017 Chebyshevskiĭ Sb. 19, No. 3(67), 257-269 (2018). MSC: 11A41 11B65 20D15 05A10 PDF BibTeX XML Cite \textit{U. M. Pachev}, Chebyshevskiĭ Sb. 19, No. 3(67), 257--269 (2018; Zbl 1434.11017) Full Text: DOI MNR OpenURL
Ni, He-Xia; Pan, Hao On the lacunary sum of trinomial coefficients. (English) Zbl 1428.11042 Appl. Math. Comput. 339, 286-293 (2018). MSC: 11B65 05A10 05A19 11A07 11B37 11B39 PDF BibTeX XML Cite \textit{H.-X. Ni} and \textit{H. Pan}, Appl. Math. Comput. 339, 286--293 (2018; Zbl 1428.11042) Full Text: DOI OpenURL
Chu, Wenchang Reduction formula of a double binomial sum. (English) Zbl 1424.05007 Turk. J. Math. 42, No. 1, 307-311 (2018). MSC: 05A10 11B65 PDF BibTeX XML Cite \textit{W. Chu}, Turk. J. Math. 42, No. 1, 307--311 (2018; Zbl 1424.05007) Full Text: DOI OpenURL
Si, Xin Some results on \(q\)-harmonic number sums. (English) Zbl 1445.05019 Adv. Difference Equ. 2018, Paper No. 24, 16 p. (2018). MSC: 05A30 11B65 PDF BibTeX XML Cite \textit{X. Si}, Adv. Difference Equ. 2018, Paper No. 24, 16 p. (2018; Zbl 1445.05019) Full Text: DOI OpenURL
Dimitrov, Yuri; Miryanov, Radan; Todorov, Venelin Asymptotic expansions and approximations for the Caputo derivative. (English) Zbl 1401.26008 Comput. Appl. Math. 37, No. 4, 5476-5499 (2018). MSC: 26A33 11B65 41A60 65D25 PDF BibTeX XML Cite \textit{Y. Dimitrov} et al., Comput. Appl. Math. 37, No. 4, 5476--5499 (2018; Zbl 1401.26008) Full Text: DOI arXiv OpenURL
Merca, Mircea Generalizations of two identities of Guo and Yang. (English) Zbl 1395.05185 Quaest. Math. 41, No. 5, 643-652 (2018). MSC: 05E05 05A10 05A19 05A30 11B65 PDF BibTeX XML Cite \textit{M. Merca}, Quaest. Math. 41, No. 5, 643--652 (2018; Zbl 1395.05185) Full Text: DOI OpenURL
Cação, Isabel; Malonek, Helmuth R.; Falcão, M. Irene; Tomaz, Graça Combinatorial identities associated with a multidimensional polynomial sequence. (English) Zbl 1395.05006 J. Integer Seq. 21, No. 7, Article 18.7.4, 19 p. (2018). MSC: 05A10 05A19 11B83 30G35 PDF BibTeX XML Cite \textit{I. Cação} et al., J. Integer Seq. 21, No. 7, Article 18.7.4, 19 p. (2018; Zbl 1395.05006) Full Text: Link OpenURL
Németh, László The trinomial transform triangle. (English) Zbl 1439.11041 J. Integer Seq. 21, No. 7, Article 18.7.3, 18 p. (2018). MSC: 11B37 11B39 11B65 11B75 PDF BibTeX XML Cite \textit{L. Németh}, J. Integer Seq. 21, No. 7, Article 18.7.3, 18 p. (2018; Zbl 1439.11041) Full Text: arXiv Link OpenURL
Ballot, Christian Lucasnomial Fuss-Catalan numbers and related divisibility questions. (English) Zbl 1398.11045 J. Integer Seq. 21, No. 6, Article 18.6.5, 36 p. (2018). MSC: 11B65 11B39 05A10 PDF BibTeX XML Cite \textit{C. Ballot}, J. Integer Seq. 21, No. 6, Article 18.6.5, 36 p. (2018; Zbl 1398.11045) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{Q.-H. Hou} and \textit{Y.-S. Wang}, Int. J. Number Theory 14, No. 7, 2013--2022 (2018; Zbl 1435.11039) Full Text: DOI OpenURL
Dousse, Jehanne; Kim, Byungchan An overpartition analogue of \(q\)-binomial coefficients. II: Combinatorial proofs and \((q,t)\)-log concavity. (English) Zbl 1391.05039 J. Comb. Theory, Ser. A 158, 228-253 (2018). MSC: 05A17 05A10 11P81 11P84 PDF BibTeX XML Cite \textit{J. Dousse} and \textit{B. Kim}, J. Comb. Theory, Ser. A 158, 228--253 (2018; Zbl 1391.05039) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{H.-X. Ni} and \textit{H. Pan}, Int. J. Number Theory 14, No. 6, 1699--1707 (2018; Zbl 1428.11041) Full Text: DOI OpenURL
Guo, Victor J. W. A new proof of the \(q\)-Dixon identity. (English) Zbl 06890391 Czech. Math. J. 68, No. 2, 577-580 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 05A30 05A19 PDF BibTeX XML Cite \textit{V. J. W. Guo}, Czech. Math. J. 68, No. 2, 577--580 (2018; Zbl 06890391) Full Text: DOI OpenURL
Wu, Ming; Pan, Hao Sums of products of Euler numbers. (English) Zbl 1413.11048 Ars Comb. 136, 341-346 (2018). MSC: 11B68 11B65 PDF BibTeX XML Cite \textit{M. Wu} and \textit{H. Pan}, Ars Comb. 136, 341--346 (2018; Zbl 1413.11048) OpenURL
Sanna, Carlo Central binomial coefficients divisible by or coprime to their indices. (English) Zbl 1403.11011 Int. J. Number Theory 14, No. 4, 1135-1141 (2018). Reviewer: Uğur Duran (Hatay) MSC: 11B65 13A05 11N25 11A07 PDF BibTeX XML Cite \textit{C. Sanna}, Int. J. Number Theory 14, No. 4, 1135--1141 (2018; Zbl 1403.11011) Full Text: DOI OpenURL
Chern, Shane; Yee, Ae Ja Overpartitions with bounded part differences. (English) Zbl 1384.05038 Eur. J. Comb. 70, 317-324 (2018). MSC: 05A17 11P84 PDF BibTeX XML Cite \textit{S. Chern} and \textit{A. J. Yee}, Eur. J. Comb. 70, 317--324 (2018; Zbl 1384.05038) Full Text: DOI arXiv OpenURL
Phunphayap, Phakhinkon; Pongsriiam, Prapanpong Explicit formulas for the \(p\)-adic valuations of fibonomial coefficients. (English) Zbl 1390.11041 J. Integer Seq. 21, No. 3, Article 18.3.1, 33 p. (2018). MSC: 11B39 11B65 PDF BibTeX XML Cite \textit{P. Phunphayap} and \textit{P. Pongsriiam}, J. Integer Seq. 21, No. 3, Article 18.3.1, 33 p. (2018; Zbl 1390.11041) Full Text: arXiv Link OpenURL
Hayata, Takahiro; Ishikawa, Masao A binomial-coefficient identity arising from the middle discrete series of \(\mathrm{SU} (2, 2)\). (English) Zbl 1390.05008 Math. J. Okayama Univ. 60, 221-231 (2018). Reviewer: Ugur Duran (Hatay) MSC: 05A10 05A19 22E40 33C05 PDF BibTeX XML Cite \textit{T. Hayata} and \textit{M. Ishikawa}, Math. J. Okayama Univ. 60, 221--231 (2018; Zbl 1390.05008) Full Text: arXiv OpenURL
Lee, Jaejin Constructive proof for the positivity of the orbit polynomial \(O_d^{n,2}(q)\). (English) Zbl 1462.05355 Korean J. Math. 25, No. 3, 349-358 (2017). MSC: 05E10 05E18 05A15 05A10 11B65 PDF BibTeX XML Cite \textit{J. Lee}, Korean J. Math. 25, No. 3, 349--358 (2017; Zbl 1462.05355) Full Text: DOI OpenURL
Kuhapatanakul, Kantaphon; Anantakitpaisal, Pornpawee The \(k\)-nacci triangle and applications. (English) Zbl 1438.11039 Cogent Math. 4, Article ID 1333293, 13 p. (2017). MSC: 11B39 11B65 PDF BibTeX XML Cite \textit{K. Kuhapatanakul} and \textit{P. Anantakitpaisal}, Cogent Math. 4, Article ID 1333293, 13 p. (2017; Zbl 1438.11039) Full Text: DOI OpenURL
Au, Yu Hin (Gary); Drexler-Lemire, Christopher; Shallit, Jeffrey Notes and note pairs in Nørgård’s infinity series. (English) Zbl 1390.00053 J. Math. Music 11, No. 1, 1-19 (2017). MSC: 00A65 11B85 05A10 05A15 11B37 11B65 PDF BibTeX XML Cite \textit{Y. H. Au} et al., J. Math. Music 11, No. 1, 1--19 (2017; Zbl 1390.00053) Full Text: DOI arXiv Link OpenURL
Martinjak, Ivica Two infinite families of terminating binomial sums. (English) Zbl 1399.05004 Period. Math. Hung. 75, No. 2, 244-254 (2017). Reviewer: István Mező (Debrecen) MSC: 05A10 05A19 05B45 PDF BibTeX XML Cite \textit{I. Martinjak}, Period. Math. Hung. 75, No. 2, 244--254 (2017; Zbl 1399.05004) Full Text: DOI OpenURL
Guo, Victor J. W.; Wang, Su-Dan Factors of sums involving \(q\)-binomial coefficients and powers of \(q\)-integers. (English) Zbl 1385.05024 J. Difference Equ. Appl. 23, No. 10, 1670-1679 (2017). Reviewer: James Wan (Singapore) MSC: 05A30 05A10 11B65 PDF BibTeX XML Cite \textit{V. J. W. Guo} and \textit{S.-D. Wang}, J. Difference Equ. Appl. 23, No. 10, 1670--1679 (2017; Zbl 1385.05024) Full Text: DOI arXiv OpenURL
Yang, Sheng-Liang; Xu, Yan-Xue; He, Tian-Xiao \((m,r)\)-central Riordan arrays and their applications. (English) Zbl 06819563 Czech. Math. J. 67, No. 4, 919-936 (2017). MSC: 05A05 05A10 05A19 15A09 PDF BibTeX XML Cite \textit{S.-L. Yang} et al., Czech. Math. J. 67, No. 4, 919--936 (2017; Zbl 06819563) Full Text: DOI OpenURL
Hetmaniok, Edyta; Platek, Bożena; Pleszczyński, Mariusz; Wituła, Roman Identities for the inverse of central binomial coefficients. (English) Zbl 1378.05005 Wituła, Roman (ed.) et al., Selected problems on experimental mathematics. Gliwice: Wydawnictwo Politechniki Śląskiej (ISBN 978-83-7880-476-5/pbk). Monografia (Gliwice) 672, 219-231 (2017). MSC: 05A10 11B65 05A19 11Y70 PDF BibTeX XML Cite \textit{E. Hetmaniok} et al., Monogr., Gliwice 672, 219--231 (2017; Zbl 1378.05005) OpenURL
Chern, Shane An overpartition analogue of partitions with bounded differences between largest and smallest parts. (English) Zbl 1370.05015 Discrete Math. 340, No. 12, 2834-2839 (2017). MSC: 05A17 11P84 11P81 PDF BibTeX XML Cite \textit{S. Chern}, Discrete Math. 340, No. 12, 2834--2839 (2017; Zbl 1370.05015) Full Text: DOI arXiv OpenURL
Chu, Wenchang Hypergeometric approach to Apéry-like series. (English) Zbl 1400.11124 Integral Transforms Spec. Funct. 28, No. 7, 505-518 (2017). MSC: 11M06 33C20 11B65 PDF BibTeX XML Cite \textit{W. Chu}, Integral Transforms Spec. Funct. 28, No. 7, 505--518 (2017; Zbl 1400.11124) Full Text: DOI OpenURL
Liu, Ji-Cai Some finite generalizations of Euler’s pentagonal number theorem. (English) Zbl 1458.05025 Czech. Math. J. 67, No. 2, 525-531 (2017). MSC: 05A17 11B65 PDF BibTeX XML Cite \textit{J.-C. Liu}, Czech. Math. J. 67, No. 2, 525--531 (2017; Zbl 1458.05025) Full Text: DOI OpenURL
Chu, Wenchang Moments on quadratic binomial products. (English) Zbl 1428.11039 J. Number Theory 178, 19-30 (2017). Reviewer: Jens Schwaiger (Graz) MSC: 11B65 05A10 PDF BibTeX XML Cite \textit{W. Chu}, J. Number Theory 178, 19--30 (2017; Zbl 1428.11039) Full Text: DOI OpenURL
Alkan, Emre Structure of Apéry-like series and monotonicity properties for binomial sums. (English) Zbl 1359.11022 Bull. Korean Math. Soc. 54, No. 1, 225-242 (2017). MSC: 11B65 11J82 05A10 91Axx PDF BibTeX XML Cite \textit{E. Alkan}, Bull. Korean Math. Soc. 54, No. 1, 225--242 (2017; Zbl 1359.11022) Full Text: DOI Link OpenURL