Jones, Gareth Aneurin; Zvonkin, Alexander K. Orders of simple groups and the Bateman-Horn conjecture. (English) Zbl 07794753 Int. J. Group Theory 13, No. 3, 257-269 (2024). Reviewer: Enrico Jabara (Venezia) MSC: 20D60 11N32 PDFBibTeX XMLCite \textit{G. A. Jones} and \textit{A. K. Zvonkin}, Int. J. Group Theory 13, No. 3, 257--269 (2024; Zbl 07794753) Full Text: DOI arXiv
Gun, Sanoli; Naik, Sunil L. On the largest prime factor of non-zero Fourier coefficients of Hecke eigenforms. (English) Zbl 07790385 Forum Math. 36, No. 1, 173-192 (2024). Reviewer: İlker İnam (Bilecik) MSC: 11F11 11F30 11F80 11N56 11R45 PDFBibTeX XMLCite \textit{S. Gun} and \textit{S. L. Naik}, Forum Math. 36, No. 1, 173--192 (2024; Zbl 07790385) Full Text: DOI arXiv
Kondrat’ev, A. S. Finite 4-primary groups with disconnected Gruenberg-Kegel graph containing a triangle. (English. Russian original) Zbl 07789139 Algebra Logic 62, No. 1, 54-65 (2023); translation from Algebra Logika 62, No. 1, 76-92 (2023). MSC: 03-XX 20-XX PDFBibTeX XMLCite \textit{A. S. Kondrat'ev}, Algebra Logic 62, No. 1, 54--65 (2023; Zbl 07789139); translation from Algebra Logika 62, No. 1, 76--92 (2023) Full Text: DOI
Xie, Wei Estimates of prime factors of the generalized Fermat number. (English) Zbl 07779320 Southeast Asian Bull. Math. 47, No. 5, 717-719 (2023). MSC: 11A51 PDFBibTeX XMLCite \textit{W. Xie}, Southeast Asian Bull. Math. 47, No. 5, 717--719 (2023; Zbl 07779320) Full Text: Link
Bouchannafa, Karim; Idrissi, Moulay Abdallah; Oukhtite, Lahcen Relationship between the structure of a factor ring \(R/P\) and derivations of \(R\). (English) Zbl 07769991 Bull. Korean Math. Soc. 60, No. 5, 1281-1293 (2023). MSC: 16U80 16W25 16N60 PDFBibTeX XMLCite \textit{K. Bouchannafa} et al., Bull. Korean Math. Soc. 60, No. 5, 1281--1293 (2023; Zbl 07769991) Full Text: DOI
Sandhu, Gurninder S.; Boua, Abdelkarim; Ur Rehman, Nadeem Some results involving \(P\)-derivations and prime ideals in rings. (English) Zbl 07757174 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 69, No. 2, 587-604 (2023). Reviewer: David Ssevviiri (Kampala) MSC: 16N60 16W25 16U80 PDFBibTeX XMLCite \textit{G. S. Sandhu} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 69, No. 2, 587--604 (2023; Zbl 07757174) Full Text: DOI
Chifan, Ionuţ; Drimbe, Daniel; Ioana, Adrian Tensor product indecomposability results for existentially closed factors. (English) Zbl 07756060 Goldbring, Isaac (ed.), Model theory of operator algebras. Berlin: De Gruyter. De Gruyter Ser. Log. Appl. 11, 269-302 (2023). MSC: 46L10 03C66 22D55 46L36 PDFBibTeX XMLCite \textit{I. Chifan} et al., De Gruyter Ser. Log. Appl. 11, 269--302 (2023; Zbl 07756060) Full Text: DOI arXiv
Congera, Anclet; Ntahomvukie, Janvier Pesser; Nyandwi, Servat Mean functions over integers without square factors and \(y\)-friable. (Fonctions moyennes sur les entiers sans factours carrés et \(y\)-friables.) (French) Zbl 07751549 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 54, 125-142 (2023). Reviewer: Pieter Moree (Bonn) MSC: 11N25 11N37 11N56 11N64 PDFBibTeX XMLCite \textit{A. Congera} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 54, 125--142 (2023; Zbl 07751549) Full Text: Link
Oukhtite, Lahcen; Mamouni, Abdellah; Zerra, Mohammed On some factor rings and their connections with derivations. (English) Zbl 07747489 Jordan J. Math. Stat. 16, No. 3, 397-409 (2023). MSC: 16N60 16U80 PDFBibTeX XMLCite \textit{L. Oukhtite} et al., Jordan J. Math. Stat. 16, No. 3, 397--409 (2023; Zbl 07747489) Full Text: DOI
Dutta, Pranjal; Rajasree, Mahesh Sreekumar Efficient reductions and algorithms for subset product. (English) Zbl 07728649 Bagchi, Amitabha (ed.) et al., Algorithms and discrete applied mathematics. 9th international conference, CALDAM 2023, Gandhinagar, India, February 9–11, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13947, 3-14 (2023). MSC: 68Wxx PDFBibTeX XMLCite \textit{P. Dutta} and \textit{M. S. Rajasree}, Lect. Notes Comput. Sci. 13947, 3--14 (2023; Zbl 07728649) Full Text: DOI
Wang, Rui-Jing On the average value of the first \(n\) values of the sum-of-divisors function. (English) Zbl 1528.11099 Colloq. Math. 172, No. 2, 165-172 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 PDFBibTeX XMLCite \textit{R.-J. Wang}, Colloq. Math. 172, No. 2, 165--172 (2023; Zbl 1528.11099) Full Text: DOI
Bérczes, Attila; Hajdu, Lajos; Luca, Florian; Pink, István Additive Diophantine equations with binary recurrences, \(\mathcal{S}\)-units and several factorials. (English) Zbl 07680680 Result. Math. 78, No. 4, Paper No. 116, 32 p. (2023). Reviewer: Clemens Fuchs (Salzburg) MSC: 11B37 11D61 11J86 PDFBibTeX XMLCite \textit{A. Bérczes} et al., Result. Math. 78, No. 4, Paper No. 116, 32 p. (2023; Zbl 07680680) Full Text: DOI
Zelinsky, Joshua On the small prime factors of a non-deficient number. (English) Zbl 1520.11008 Integers 23, Paper A13, 18 p. (2023). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11A25 PDFBibTeX XMLCite \textit{J. Zelinsky}, Integers 23, Paper A13, 18 p. (2023; Zbl 1520.11008) Full Text: arXiv Link
Jakimczuk, Rafael Some observations on the greatest prime factor of an integer. (English) Zbl 1508.11096 Ann. Math. Sil. 37, No. 1, 67-81 (2023). MSC: 11N37 11M06 PDFBibTeX XMLCite \textit{R. Jakimczuk}, Ann. Math. Sil. 37, No. 1, 67--81 (2023; Zbl 1508.11096) Full Text: DOI
De Koninck, Jean-Marie; Razafindrasoanaivolala, A. Arthur Bonkli On the quotient of the logarithms of the middle divisors of an integer. (English) Zbl 1524.11172 Afr. Mat. 34, No. 1, Paper No. 2, 13 p. (2023). MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{A. A. B. Razafindrasoanaivolala}, Afr. Mat. 34, No. 1, Paper No. 2, 13 p. (2023; Zbl 1524.11172) Full Text: DOI
Jakimczuk, Rafael; Lalín, Matilde Sums of \(\omega (n)\) and \(\Omega (n)\) over the \(k\)-free parts and \(k\)-full parts of some particular sequences. (English) Zbl 1528.11097 Integers 22, Paper A113, 22 p. (2022). Reviewer: Gennady Bachman (Las Vegas) MSC: 11N37 PDFBibTeX XMLCite \textit{R. Jakimczuk} and \textit{M. Lalín}, Integers 22, Paper A113, 22 p. (2022; Zbl 1528.11097) Full Text: Link
Jiang, Yujiao; Lü, Guangshi; Wang, Zhiwei Averaged forms of two conjectures of Erdős and Pomerance, and their applications. (English) Zbl 1506.11125 Adv. Math. 409, Part A, Article ID 108592, 42 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11P55 11N25 11N36 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Adv. Math. 409, Part A, Article ID 108592, 42 p. (2022; Zbl 1506.11125) Full Text: DOI
Huber, K. T.; Maher, L. J. The hybrid number of a ploidy profile. (English) Zbl 1498.92133 J. Math. Biol. 85, No. 3, Paper No. 30, 27 p. (2022). MSC: 92D15 05C90 PDFBibTeX XMLCite \textit{K. T. Huber} and \textit{L. J. Maher}, J. Math. Biol. 85, No. 3, Paper No. 30, 27 p. (2022; Zbl 1498.92133) Full Text: DOI arXiv
Jung, Da Woon; Lee, Chang Ik; Lee, Yang; Park, Sangwon; Ryu, Sung Ju; Sung, Hyo Jin On right regularity of commutators. (English) Zbl 1511.16015 Bull. Korean Math. Soc. 59, No. 4, 853-868 (2022). Reviewer: Liang Zhao (Ma’anshan) MSC: 16E50 16U80 PDFBibTeX XMLCite \textit{D. W. Jung} et al., Bull. Korean Math. Soc. 59, No. 4, 853--868 (2022; Zbl 1511.16015) Full Text: DOI
Lajou, Dimitri On Cartesian products of signed graphs. (English) Zbl 1494.05051 Discrete Appl. Math. 319, 533-555 (2022). Reviewer: V. Lokesha (Bangalore) MSC: 05C22 05C76 05C15 68R10 PDFBibTeX XMLCite \textit{D. Lajou}, Discrete Appl. Math. 319, 533--555 (2022; Zbl 1494.05051) Full Text: DOI arXiv
Farenick, Douglas; Tessier, Ryan Purity of the embeddings of operator systems into their \(C^\ast \)- and injective envelopes. (English) Zbl 1502.46044 Pac. J. Math. 317, No. 2, 317-338 (2022). MSC: 46L07 47L05 47L07 46A32 46A55 47L25 PDFBibTeX XMLCite \textit{D. Farenick} and \textit{R. Tessier}, Pac. J. Math. 317, No. 2, 317--338 (2022; Zbl 1502.46044) Full Text: DOI arXiv
Isono, Yusuke; Marrakchi, Amine Tensor product decompositions and rigidity of full factors. (English. French summary) Zbl 1501.46049 Ann. Sci. Éc. Norm. Supér. (4) 55, No. 1, 109-139 (2022). MSC: 46L10 46L36 46L40 46L55 PDFBibTeX XMLCite \textit{Y. Isono} and \textit{A. Marrakchi}, Ann. Sci. Éc. Norm. Supér. (4) 55, No. 1, 109--139 (2022; Zbl 1501.46049) Full Text: DOI arXiv
Ford, Kevin Joint Poisson distribution of prime factors in sets. (English) Zbl 1498.11193 Math. Proc. Camb. Philos. Soc. 173, No. 1, 189-200 (2022). Reviewer: Emre Alkan (İstanbul) MSC: 11N25 PDFBibTeX XMLCite \textit{K. Ford}, Math. Proc. Camb. Philos. Soc. 173, No. 1, 189--200 (2022; Zbl 1498.11193) Full Text: DOI arXiv
Bennett, Michael A.; Gherga, Adela; Patel, Vandita; Siksek, Samir Odd values of the Ramanujan tau function. (English) Zbl 1525.11034 Math. Ann. 382, No. 1-2, 203-238 (2022). MSC: 11D61 11D41 11F80 11F41 PDFBibTeX XMLCite \textit{M. A. Bennett} et al., Math. Ann. 382, No. 1--2, 203--238 (2022; Zbl 1525.11034) Full Text: DOI arXiv
Fayoumi, Hiba F. Groupoid factorizations in the semigroup of binary systems. (English) Zbl 1506.20094 Sci. Math. Jpn. 84, No. 3, 155-180 (2021). MSC: 20N02 06F35 PDFBibTeX XMLCite \textit{H. F. Fayoumi}, Sci. Math. Jpn. 84, No. 3, 155--180 (2021; Zbl 1506.20094) Full Text: arXiv
Caragiu, Mihai An elementary note on the greatest prime factors of linearly related integers. (English) Zbl 1499.11022 JP J. Algebra Number Theory Appl. 52, No. 1, 95-100 (2021). MSC: 11A41 11N13 11A25 PDFBibTeX XMLCite \textit{M. Caragiu}, JP J. Algebra Number Theory Appl. 52, No. 1, 95--100 (2021; Zbl 1499.11022) Full Text: DOI
Lichtman, Jared Duker Mertens’ prime product formula, dissected. (English) Zbl 1496.11123 Integers 21A, Paper A17, 15 p. (2021). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 PDFBibTeX XMLCite \textit{J. D. Lichtman}, Integers 21A, Paper A17, 15 p. (2021; Zbl 1496.11123) Full Text: Link
de Koninck, Jean-Marie A front row seat to the work of Aleksandar Ivić. (English) Zbl 1473.11162 Bull., Cl. Sci. Math. Nat., Sci. Math. 46, 13-43 (2021). MSC: 11M06 11M26 11N37 11N56 11N64 PDFBibTeX XMLCite \textit{J.-M. de Koninck}, Bull., Cl. Sci. Math. Nat., Sci. Math. 46, 13--43 (2021; Zbl 1473.11162) Full Text: Link
Bugeaud, Yann On the Zeckendorf representation of smooth numbers. (English) Zbl 1491.11011 Mosc. Math. J. 21, No. 1, 31-42 (2021). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 11J86 11N25 PDFBibTeX XMLCite \textit{Y. Bugeaud}, Mosc. Math. J. 21, No. 1, 31--42 (2021; Zbl 1491.11011) Full Text: arXiv Link
Meng, Biaolong; Ji, Zhanhuai; Liang, Shaohui; Xin, Xiaolong Weak Boolean representation of residuated lattices. (Chinese. English summary) Zbl 1488.06011 Fuzzy Syst. Math. 35, No. 1, 64-71 (2021). MSC: 06B15 06B10 03G10 PDFBibTeX XMLCite \textit{B. Meng} et al., Fuzzy Syst. Math. 35, No. 1, 64--71 (2021; Zbl 1488.06011)
De Koninck, Jean-Marie; Kátai, Imre On key applications of the Turán-Kubilius inequality. (English) Zbl 1482.11129 Lith. Math. J. 61, No. 3, 312-322 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Lith. Math. J. 61, No. 3, 312--322 (2021; Zbl 1482.11129) Full Text: DOI
Maynard, James; Rudnick, Ze’ev A lower bound on the least common multiple of polynomial sequences. (English) Zbl 1483.11207 Riv. Mat. Univ. Parma (N.S.) 12, No. 1, 143-150 (2021). Reviewer: Jasson Vindas (Gent) MSC: 11N32 PDFBibTeX XMLCite \textit{J. Maynard} and \textit{Z. Rudnick}, Riv. Mat. Univ. Parma (N.S.) 12, No. 1, 143--150 (2021; Zbl 1483.11207) Full Text: arXiv Link
Lu, Dong; Wang, Dingkang; Xiao, Fanghui On factor left prime factorization problems for multivariate polynomial matrices. (English) Zbl 1473.15023 Multidimensional Syst. Signal Process. 32, No. 3, 975-992 (2021). MSC: 15A23 68W30 PDFBibTeX XMLCite \textit{D. Lu} et al., Multidimensional Syst. Signal Process. 32, No. 3, 975--992 (2021; Zbl 1473.15023) Full Text: DOI arXiv
Jung, Da Woon; Lee, Chang Ik; Lee, Yang; Nam, Sang Bok; Ryu, Sung Ju; Sung, Hyo Jin; Yun, Sang Jo Annihilating property of zero-divisors. (English) Zbl 1483.16005 Commun. Korean Math. Soc. 36, No. 1, 27-39 (2021). Reviewer: Jae Keol Park (Pusan) MSC: 16D25 16U80 16S50 PDFBibTeX XMLCite \textit{D. W. Jung} et al., Commun. Korean Math. Soc. 36, No. 1, 27--39 (2021; Zbl 1483.16005) Full Text: DOI
Dwivedi, Ashish; Mittal, Rajat; Saxena, Nitin Efficiently factoring polynomials modulo \(p^4\). (English) Zbl 1465.13022 J. Symb. Comput. 104, 805-823 (2021). Reviewer: Manjit Singh (Murthal) MSC: 13P05 94B05 PDFBibTeX XMLCite \textit{A. Dwivedi} et al., J. Symb. Comput. 104, 805--823 (2021; Zbl 1465.13022) Full Text: DOI
Grechkoseeva, M. A.; Zvezdina, M. A. On recognition of \(L_4(q)\) and \(U_4(q)\) by spectrum. (English. Russian original) Zbl 1477.20031 Sib. Math. J. 61, No. 6, 1039-1065 (2020); translation from Sib. Mat. Zh. 61, No. 6, 1300-1330 (2020). Reviewer: Moshe Roitman (Haifa) MSC: 20D06 20D60 20G40 20G41 PDFBibTeX XMLCite \textit{M. A. Grechkoseeva} and \textit{M. A. Zvezdina}, Sib. Math. J. 61, No. 6, 1039--1065 (2020; Zbl 1477.20031); translation from Sib. Mat. Zh. 61, No. 6, 1300--1330 (2020) Full Text: DOI
Kim, Sungjin Two remarks on the largest prime factors of \(n\) and \(n+1\). (English) Zbl 1468.11019 J. Integer Seq. 23, No. 10, Article 20.10.1, 8 p. (2020). MSC: 11A41 11N05 PDFBibTeX XMLCite \textit{S. Kim}, J. Integer Seq. 23, No. 10, Article 20.10.1, 8 p. (2020; Zbl 1468.11019) Full Text: Link
Lajou, Dimitri On Cartesian products of signed graphs. (English) Zbl 1456.05133 Changat, Manoj (ed.) et al., Algorithms and discrete applied mathematics. 6th international conference, CALDAM 2020, Hyderabad, India, February 13–15, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12016, 219-234 (2020). MSC: 05C76 05C22 PDFBibTeX XMLCite \textit{D. Lajou}, Lect. Notes Comput. Sci. 12016, 219--234 (2020; Zbl 1456.05133) Full Text: DOI arXiv
Chang, Ben; Martin, Greg The smallest invariant factor of the multiplicative group. (English) Zbl 1456.11177 Int. J. Number Theory 16, No. 6, 1377-1405 (2020). MSC: 11N25 11N37 11N45 11N64 20K01 PDFBibTeX XMLCite \textit{B. Chang} and \textit{G. Martin}, Int. J. Number Theory 16, No. 6, 1377--1405 (2020; Zbl 1456.11177) Full Text: DOI arXiv
De la Bretèche, Régis; Drappeau, Sary Level of distribution of quadratic polynomials and an upper bound sieve for friable integers. (Niveau de répartition des polynômes quadratiques et crible majorant pour les entiers friables.) (French. English summary) Zbl 1458.11138 J. Eur. Math. Soc. (JEMS) 22, No. 5, 1577-1624 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N32 11N75 PDFBibTeX XMLCite \textit{R. De la Bretèche} and \textit{S. Drappeau}, J. Eur. Math. Soc. (JEMS) 22, No. 5, 1577--1624 (2020; Zbl 1458.11138) Full Text: DOI
Torquato, Salvatore; Zhang, Ge; De Courcy-Ireland, Matthew Hidden multiscale order in the primes. (English) Zbl 1507.11085 J. Phys. A, Math. Theor. 52, No. 13, Article ID 135002, 33 p. (2019). MSC: 11N05 11A41 11N13 11Y11 11M26 PDFBibTeX XMLCite \textit{S. Torquato} et al., J. Phys. A, Math. Theor. 52, No. 13, Article ID 135002, 33 p. (2019; Zbl 1507.11085) Full Text: DOI arXiv
Dwivedi, Ashish; Mittal, Rajat; Saxena, Nitin Efficiently factoring polynomials modulo \(p^4\). (English) Zbl 1467.11113 Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 139-146 (2019). MSC: 11T06 11Y05 13P05 68W30 PDFBibTeX XMLCite \textit{A. Dwivedi} et al., in: Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC '19, Beijing, China, July 15--18, 2019. New York, NY: Association for Computing Machinery (ACM). 139--146 (2019; Zbl 1467.11113) Full Text: DOI arXiv
Wu, Jie; Xi, Ping Towards representations of primes by polynomials. (English) Zbl 1472.11249 Ji, Lizhen (ed.) et al., Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 44, 99-122 (2019). MSC: 11N32 11N05 11N13 11N36 PDFBibTeX XMLCite \textit{J. Wu} and \textit{P. Xi}, Adv. Lect. Math. (ALM) 44, 99--122 (2019; Zbl 1472.11249)
Gao, Wei; Dimitrov, Darko; Abdo, Hosam Tight independent set neighborhood union condition for fractional critical deleted graphs and ID deleted graphs. (English) Zbl 1419.05167 Discrete Contin. Dyn. Syst., Ser. S 12, No. 4-5, 711-721 (2019). MSC: 05C69 68M10 PDFBibTeX XMLCite \textit{W. Gao} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 4--5, 711--721 (2019; Zbl 1419.05167) Full Text: DOI
Wang, Zhiwei On the largest prime factors less than \(y\) of consecutive integers. (Sur les plus grands facteurs premiers inférieur à \(y\) d’entiers consécutifs.) (French. English summary) Zbl 1459.11182 Ramanujan J. 49, No. 3, 483-490 (2019). MSC: 11N25 11N36 PDFBibTeX XMLCite \textit{Z. Wang}, Ramanujan J. 49, No. 3, 483--490 (2019; Zbl 1459.11182) Full Text: DOI
Lam, Ha Minh; Trung, Ngo Viet Associated primes of powers of edge ideals and ear decompositions of graphs. (English) Zbl 1420.13023 Trans. Am. Math. Soc. 372, No. 5, 3211-3236 (2019). Reviewer: Hero Saremi (Sanandaj) MSC: 13C05 05C70 05E40 PDFBibTeX XMLCite \textit{H. M. Lam} and \textit{N. V. Trung}, Trans. Am. Math. Soc. 372, No. 5, 3211--3236 (2019; Zbl 1420.13023) Full Text: DOI arXiv
Junge, Marius; Udrea, Bogdan Generalized \(q\)-Gaussian von Neumann algebras with coefficients. III: Unique prime factorization results. (English) Zbl 1424.46083 Rev. Roum. Math. Pures Appl. 64, No. 1, 43-47 (2019). Reviewer: Ömer Gök (Istanbul) MSC: 46L10 46L06 PDFBibTeX XMLCite \textit{M. Junge} and \textit{B. Udrea}, Rev. Roum. Math. Pures Appl. 64, No. 1, 43--47 (2019; Zbl 1424.46083) Full Text: arXiv
Murty, M. Ram; Séguin, François Prime divisors of sparse values of cyclotomic polynomials and Wieferich primes. (English) Zbl 1473.11041 J. Number Theory 201, 1-22 (2019). MSC: 11B39 11A51 11C08 PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{F. Séguin}, J. Number Theory 201, 1--22 (2019; Zbl 1473.11041) Full Text: DOI Link
Lü, Xiaodong; Wang, Zhiwei; Chen, Bin On the smooth values of shifted almost-primes. (English) Zbl 1459.11179 Int. J. Number Theory 15, No. 1, 1-9 (2019). MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{X. Lü} et al., Int. J. Number Theory 15, No. 1, 1--9 (2019; Zbl 1459.11179) Full Text: DOI
Qi, Xiaofei; Wang, Shengli Strong 2-Jordan product preserving maps on prime rings. (Chinese. English summary) Zbl 1424.47095 Acta Math. Sin., Chin. Ser. 61, No. 5, 801-810 (2018). MSC: 47B49 47C15 16N60 PDFBibTeX XMLCite \textit{X. Qi} and \textit{S. Wang}, Acta Math. Sin., Chin. Ser. 61, No. 5, 801--810 (2018; Zbl 1424.47095)
Gong, Ming-Liang; Chen, Yong-Gao On the average value of the first \(n\) values of the Euler function. (English) Zbl 1454.11174 Bol. Soc. Mat. Mex., III. Ser. 24, No. 2, 301-306 (2018). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 PDFBibTeX XMLCite \textit{M.-L. Gong} and \textit{Y.-G. Chen}, Bol. Soc. Mat. Mex., III. Ser. 24, No. 2, 301--306 (2018; Zbl 1454.11174) Full Text: DOI
De Koninck, Jean-Marie; Moineau, Matthieu Consecutive integers divisible by a power of their largest prime factor. (English) Zbl 1448.11172 J. Integer Seq. 21, No. 9, Article 18.9.3, 16 p. (2018). MSC: 11N25 11N32 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{M. Moineau}, J. Integer Seq. 21, No. 9, Article 18.9.3, 16 p. (2018; Zbl 1448.11172) Full Text: Link
Guan, Jiancheng; Li, Weiqing; Ouyang, Baiyu On rank factorizations and factor prime factorizations for multivariate polynomial matrices. (English) Zbl 1445.15009 J. Syst. Sci. Complex. 31, No. 6, 1647-1658 (2018). MSC: 15A23 15A03 PDFBibTeX XMLCite \textit{J. Guan} et al., J. Syst. Sci. Complex. 31, No. 6, 1647--1658 (2018; Zbl 1445.15009) Full Text: DOI
Doyon, Nicolas; Quellet, Vincent On the sum of the reciprocals of the middle prime factor counting multiplicity. (English) Zbl 1413.11111 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 47, 249-259 (2018). Reviewer: Gennady Bachman (Las Vegas) MSC: 11N37 11N64 PDFBibTeX XMLCite \textit{N. Doyon} and \textit{V. Quellet}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 47, 249--259 (2018; Zbl 1413.11111)
Wang (Nancy), Zhiwei On the largest prime factors of consecutive integers. (Sur les plus grands facteurs premiers d’entiers consécutifs.) (French. English summary) Zbl 1439.11246 Mathematika 64, No. 2, 343-379 (2018). MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{Z. Wang (Nancy)}, Mathematika 64, No. 2, 343--379 (2018; Zbl 1439.11246) Full Text: DOI arXiv
Momen, Zahra; Khosravi, Behrooz Quasirecognition of \(E_6(q)\) by the orders of maximal abelian subgroups. (English) Zbl 1486.20017 J. Algebra Appl. 17, No. 7, Article ID 1850122, 14 p. (2018). MSC: 20D05 20D60 20D08 20D06 PDFBibTeX XMLCite \textit{Z. Momen} and \textit{B. Khosravi}, J. Algebra Appl. 17, No. 7, Article ID 1850122, 14 p. (2018; Zbl 1486.20017) Full Text: DOI
Chen, Yong-Gao; Lei, Cheng-Hao Arithmetic progressions in the least positive reduced residue systems. (English) Zbl 1446.11018 J. Number Theory 190, 303-310 (2018). MSC: 11B25 11A07 11N37 PDFBibTeX XMLCite \textit{Y.-G. Chen} and \textit{C.-H. Lei}, J. Number Theory 190, 303--310 (2018; Zbl 1446.11018) Full Text: DOI
Zhang, G.; Martelli, F.; Torquato, S. The structure factor of primes. (English) Zbl 1436.11010 J. Phys. A, Math. Theor. 51, No. 11, Article ID 115001, 16 p. (2018). MSC: 11A41 11K45 PDFBibTeX XMLCite \textit{G. Zhang} et al., J. Phys. A, Math. Theor. 51, No. 11, Article ID 115001, 16 p. (2018; Zbl 1436.11010) Full Text: DOI arXiv
Gao, Yun; Farahani, Mohammad Reza; Gao, Wei A neighborhood union condition for fractional \((k,n',m)\)-critical deleted graphs. (English) Zbl 1463.05435 Trans. Comb. 6, No. 1, 13-19 (2017). MSC: 05C70 05C72 PDFBibTeX XMLCite \textit{Y. Gao} et al., Trans. Comb. 6, No. 1, 13--19 (2017; Zbl 1463.05435) Full Text: DOI
Li, Dongmei; Liu, Jinwang; Guan, Jiancheng Problems of matrix factorization over unique factorization domain. (Chinese. English summary) Zbl 1399.15023 J. Syst. Sci. Math. Sci. 37, No. 10, 2042-2051 (2017). MSC: 15A23 PDFBibTeX XMLCite \textit{D. Li} et al., J. Syst. Sci. Math. Sci. 37, No. 10, 2042--2051 (2017; Zbl 1399.15023)
Shi, Ying On Györy-Sárközy-Stewart conjecture. (Chinese. English summary) Zbl 1399.11021 Adv. Math., Beijing 46, No. 6, 957-960 (2017). MSC: 11A41 11A99 PDFBibTeX XMLCite \textit{Y. Shi}, Adv. Math., Beijing 46, No. 6, 957--960 (2017; Zbl 1399.11021) Full Text: DOI
Ouellet, Vincent On the sum of the reciprocals of the middle prime factors of an integer. (English) Zbl 1426.11110 J. Integer Seq. 20, No. 10, Article 17.10.1, 16 p. (2017). MSC: 11N37 PDFBibTeX XMLCite \textit{V. Ouellet}, J. Integer Seq. 20, No. 10, Article 17.10.1, 16 p. (2017; Zbl 1426.11110) Full Text: Link
Anderson, S. E.; Guob, Y.; Tenney, A.; Wash, K. A. Prime factorization and domination in the hierarchical product of graphs. (English) Zbl 1375.05208 Discuss. Math., Graph Theory 37, No. 4, 873-890 (2017). MSC: 05C70 05C76 PDFBibTeX XMLCite \textit{S. E. Anderson} et al., Discuss. Math., Graph Theory 37, No. 4, 873--890 (2017; Zbl 1375.05208) Full Text: DOI
Gao, Wei; Wang, Weifan A tight neighborhood union condition on fractional \((g,f,n',m)\)-critical deleted graphs. (English) Zbl 1375.05211 Colloq. Math. 149, No. 2, 291-298 (2017). MSC: 05C70 PDFBibTeX XMLCite \textit{W. Gao} and \textit{W. Wang}, Colloq. Math. 149, No. 2, 291--298 (2017; Zbl 1375.05211) Full Text: DOI
Xi, Ping How strong can primes be. (English) Zbl 1428.11209 Acta Arith. 179, No. 4, 363-373 (2017). MSC: 11Y05 11N05 11N13 PDFBibTeX XMLCite \textit{P. Xi}, Acta Arith. 179, No. 4, 363--373 (2017; Zbl 1428.11209) Full Text: DOI
Gong, Ming-Liang; Chen, Yong-Gao The shifted sum of the first \(n\) values of Euler’s function. (English) Zbl 1390.11116 Int. J. Number Theory 13, No. 5, 1245-1251 (2017). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A25 PDFBibTeX XMLCite \textit{M.-L. Gong} and \textit{Y.-G. Chen}, Int. J. Number Theory 13, No. 5, 1245--1251 (2017; Zbl 1390.11116) Full Text: DOI
Caragiu, Mihai Sequential experiments with primes. (English) Zbl 1398.11002 Cham: Springer (ISBN 978-3-319-56761-7/hbk; 978-3-319-56762-4/ebook). xi, 279 p. (2017). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11-02 11Y55 11N05 11Y11 PDFBibTeX XMLCite \textit{M. Caragiu}, Sequential experiments with primes. Cham: Springer (2017; Zbl 1398.11002) Full Text: DOI
Chen, Feng Juan; Chen, Yong Gao On the largest prime factor of shifted primes. (English) Zbl 1426.11087 Acta Math. Sin., Engl. Ser. 33, No. 3, 377-382 (2017). MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{F. J. Chen} and \textit{Y. G. Chen}, Acta Math. Sin., Engl. Ser. 33, No. 3, 377--382 (2017; Zbl 1426.11087) Full Text: DOI
Lü, Xiaodong; Ren, Yifei Representation of an integer as a prime plus a product of two small factors. (English) Zbl 1422.11208 J. Number Theory 176, 204-210 (2017). MSC: 11P32 11N05 11N36 PDFBibTeX XMLCite \textit{X. Lü} and \textit{Y. Ren}, J. Number Theory 176, 204--210 (2017; Zbl 1422.11208) Full Text: DOI
Wu, Jie; Xi, Ping Quadratic polynomials at prime arguments. (English) Zbl 1365.11109 Math. Z. 285, No. 1-2, 631-646 (2017). Reviewer: Giovanni Coppola (Avellino) MSC: 11N32 11N13 11N36 PDFBibTeX XMLCite \textit{J. Wu} and \textit{P. Xi}, Math. Z. 285, No. 1--2, 631--646 (2017; Zbl 1365.11109) Full Text: DOI arXiv
Amri, M.; Mkaouar, M.; Wannes, W. Digital functions and sums involving the largest prime factor of an integer. (English) Zbl 1399.11025 Acta Math. Hung. 149, No. 2, 396-412 (2016). MSC: 11A63 11L03 11N05 PDFBibTeX XMLCite \textit{M. Amri} et al., Acta Math. Hung. 149, No. 2, 396--412 (2016; Zbl 1399.11025) Full Text: DOI
Shorey, Tarlok N.; Tijdeman, Rob Arithmetic properties of blocks of consecutive integers. (English) Zbl 1398.11023 Sander, Jürgen (ed.) et al., From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer (ISBN 978-3-319-28202-2/hbk; 978-3-319-28203-9/ebook). 455-471 (2016). MSC: 11A51 11D41 PDFBibTeX XMLCite \textit{T. N. Shorey} and \textit{R. Tijdeman}, in: From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 455--471 (2016; Zbl 1398.11023) Full Text: DOI arXiv
Maslova, N. V. On the finite prime spectrum minimal groups. (English. Russian original) Zbl 1400.20016 Proc. Steklov Inst. Math. 295, Suppl. 1, S109-S119 (2016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 3, 222-232 (2015). MSC: 20D60 20D06 20D30 20D40 20E28 PDFBibTeX XMLCite \textit{N. V. Maslova}, Proc. Steklov Inst. Math. 295, S109--S119 (2016; Zbl 1400.20016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 3, 222--232 (2015) Full Text: DOI
Caragiu, Mihai; Vicol, Paul A. Prime magmas and a cyclicity conjecture. (English) Zbl 1396.11144 JP J. Algebra Number Theory Appl. 38, No. 2, 129-143 (2016). MSC: 11Y55 11A41 11B83 PDFBibTeX XMLCite \textit{M. Caragiu} and \textit{P. A. Vicol}, JP J. Algebra Number Theory Appl. 38, No. 2, 129--143 (2016; Zbl 1396.11144) Full Text: DOI Link
Gao, Wei; Liang, Li; Xu, Tianwei; Zhou, Juxiang Degree conditions for fractional \((g,f,n^\prime,m)\)-critical deleted graphs and fractional ID-\((g,n,f,m)\)-deleted graphs. (English) Zbl 1339.05308 Bull. Malays. Math. Sci. Soc. (2) 39, Suppl. 1, S315-S330 (2016). MSC: 05C70 PDFBibTeX XMLCite \textit{W. Gao} et al., Bull. Malays. Math. Sci. Soc. (2) 39, S315--S330 (2016; Zbl 1339.05308) Full Text: DOI
Ransford, Julian A sum of gcd’s over friable numbers. (English) Zbl 1415.11120 J. Integer Seq. 19, No. 3, Article 16.3.2, 13 p. (2016). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11N25 PDFBibTeX XMLCite \textit{J. Ransford}, J. Integer Seq. 19, No. 3, Article 16.3.2, 13 p. (2016; Zbl 1415.11120) Full Text: EMIS
Amri, M.; Mkaouar, M.; Wannes, W. Strongly \(q\)-additive functions and distributional properties of the largest prime factor. (English) Zbl 1401.11012 Bull. Aust. Math. Soc. 93, No. 2, 177-185 (2016). MSC: 11A63 11L03 11N05 PDFBibTeX XMLCite \textit{M. Amri} et al., Bull. Aust. Math. Soc. 93, No. 2, 177--185 (2016; Zbl 1401.11012) Full Text: DOI
Dobbs, David E. Commutative rings whose factor domains are infinite. (English) Zbl 1338.13006 Far East J. Math. Sci. (FJMS) 99, No. 3, 383-392 (2016). Reviewer: Alborz Azarang (Ahvaz) MSC: 13A15 13G05 13B21 12F05 PDFBibTeX XMLCite \textit{D. E. Dobbs}, Far East J. Math. Sci. (FJMS) 99, No. 3, 383--392 (2016; Zbl 1338.13006) Full Text: DOI Link
Kołodziejczyk, Danuta On some problem of Borsuk concerning decompositions of shapes into prime factors. (English) Zbl 1359.55008 Topology Appl. 201, 452-456 (2016). Reviewer: Ivan Ivanšić (Zagreb) MSC: 55P55 55P15 PDFBibTeX XMLCite \textit{D. Kołodziejczyk}, Topology Appl. 201, 452--456 (2016; Zbl 1359.55008) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre Shifted values of the largest prime factor function and its average value in short intervals. (English) Zbl 1408.11092 Colloq. Math. 143, No. 1, 39-62 (2016). MSC: 11N37 11N60 11K06 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Colloq. Math. 143, No. 1, 39--62 (2016; Zbl 1408.11092) Full Text: DOI Link
Hellmuth, Marc; Lehner, Florian Fast factorization of Cartesian products of (directed) hypergraphs. (English) Zbl 1334.05167 Theor. Comput. Sci. 615, 1-11 (2016). MSC: 05C85 05C65 05C70 05C76 68W40 PDFBibTeX XMLCite \textit{M. Hellmuth} and \textit{F. Lehner}, Theor. Comput. Sci. 615, 1--11 (2016; Zbl 1334.05167) Full Text: DOI arXiv
Kondrat’ev, Anatoliĭ Semënovich On finite groups with small simple spectrum. II. (Russian. English summary) Zbl 1474.20050 Vladikavkaz. Mat. Zh. 17, No. 2, 22-31 (2015). MSC: 20D60 20D05 20D06 20D20 20C20 PDFBibTeX XMLCite \textit{A. S. Kondrat'ev}, Vladikavkaz. Mat. Zh. 17, No. 2, 22--31 (2015; Zbl 1474.20050) Full Text: MNR
Jakimczuk, Rafael Logarithm of the greatest prime factor. (English) Zbl 1389.11028 Gulf J. Math. 3, No. 4, 35-45 (2015). MSC: 11A99 11B99 PDFBibTeX XMLCite \textit{R. Jakimczuk}, Gulf J. Math. 3, No. 4, 35--45 (2015; Zbl 1389.11028)
Jakimczuk, Rafael The logarithm of the least prime factor. II. (English) Zbl 1389.11026 Gulf J. Math. 3, No. 1, 29-35 (2015). MSC: 11A99 11B99 PDFBibTeX XMLCite \textit{R. Jakimczuk}, Gulf J. Math. 3, No. 1, 29--35 (2015; Zbl 1389.11026)
Meng, Xian Meng On the number of strong primes. (English) Zbl 1363.11089 Acta Math. Hung. 145, No. 2, 505-515 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N05 11N13 11A51 11N36 PDFBibTeX XMLCite \textit{X. M. Meng}, Acta Math. Hung. 145, No. 2, 505--515 (2015; Zbl 1363.11089) Full Text: DOI
Irving, A. J. The largest prime factor of \(X^3+2\). (English) Zbl 1384.11093 Acta Arith. 171, No. 1, 67-80 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N32 11N25 PDFBibTeX XMLCite \textit{A. J. Irving}, Acta Arith. 171, No. 1, 67--80 (2015; Zbl 1384.11093) Full Text: DOI arXiv
Dartyge, Cécile Chebyshev’s problem for the twelfth cyclotomic polynomial. (Le problème de Tchébychev pour le douzième polynôme cyclotomique.) (French. English summary) Zbl 1323.11069 Proc. Lond. Math. Soc. (3) 111, No. 1, 1-62 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N32 11N36 11P21 11L07 11L26 PDFBibTeX XMLCite \textit{C. Dartyge}, Proc. Lond. Math. Soc. (3) 111, No. 1, 1--62 (2015; Zbl 1323.11069) Full Text: DOI
Shi, Ying; Yang, Quanhui Dynamics of a function related to the primes. (English) Zbl 1352.11008 Chin. Ann. Math., Ser. B 36, No. 1, 81-90 (2015). MSC: 11A25 11A41 37B99 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{Q. Yang}, Chin. Ann. Math., Ser. B 36, No. 1, 81--90 (2015; Zbl 1352.11008) Full Text: DOI
Saradha, N.; Shorey, T. N. Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials. (English) Zbl 1390.11072 Int. J. Number Theory 11, No. 1, 233-250 (2015). MSC: 11D61 PDFBibTeX XMLCite \textit{N. Saradha} and \textit{T. N. Shorey}, Int. J. Number Theory 11, No. 1, 233--250 (2015; Zbl 1390.11072) Full Text: DOI
Hellmuth, Marc; Marc, Tilen On the Cartesian skeleton and the factorization of the strong product of digraphs. (English) Zbl 1315.05135 Theor. Comput. Sci. 565, 16-29 (2015). MSC: 05C85 05C20 05C76 PDFBibTeX XMLCite \textit{M. Hellmuth} and \textit{T. Marc}, Theor. Comput. Sci. 565, 16--29 (2015; Zbl 1315.05135) Full Text: DOI arXiv
Dhara, Suhrid; Dutta, Tapan Kumar Some characterizations of 2-primal ideals of a \(\Gamma\)-semiring. (English) Zbl 1463.16111 Discuss. Math., Gen. Algebra Appl. 34, No. 1, 95-108 (2014). MSC: 16Y80 16Y60 PDFBibTeX XMLCite \textit{S. Dhara} and \textit{T. K. Dutta}, Discuss. Math., Gen. Algebra Appl. 34, No. 1, 95--108 (2014; Zbl 1463.16111) Full Text: DOI Link
Fouvry, Étienne On the greatest prime factor of \(ab+1\). (English) Zbl 1385.11001 Indian J. Pure Appl. Math. 45, No. 5, 583-632 (2014). MSC: 11A05 11N13 11N36 11B05 PDFBibTeX XMLCite \textit{É. Fouvry}, Indian J. Pure Appl. Math. 45, No. 5, 583--632 (2014; Zbl 1385.11001) Full Text: DOI arXiv
Jakimczuk, Rafael A note on the greatest prime factor. (English) Zbl 1327.11005 Notes Number Theory Discrete Math. 20, No. 4, 77-80 (2014). MSC: 11A25 11N37 PDFBibTeX XMLCite \textit{R. Jakimczuk}, Notes Number Theory Discrete Math. 20, No. 4, 77--80 (2014; Zbl 1327.11005)
De Koninck, Jean-Marie; Kátai, Imre Normal numbers generated using the smallest prime factor function. (English) Zbl 1308.11072 Ann. Math. Qué. 38, No. 2, 133-144 (2014). Reviewer: Takao Komatsu (Wuhan) MSC: 11K16 11N37 11A41 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Math. Qué. 38, No. 2, 133--144 (2014; Zbl 1308.11072) Full Text: DOI
Xia, Youming; Zhang, Yungang; Gao, Wei Binding number conditions for fractional \((f, n^\prime, m)\)-critical deleted graphs in special setting. (Chinese. English summary) Zbl 1313.05311 J. Yunnan Norm. Univ., Nat. Sci. 34, No. 2, 1-9 (2014). MSC: 05C72 PDFBibTeX XMLCite \textit{Y. Xia} et al., J. Yunnan Norm. Univ., Nat. Sci. 34, No. 2, 1--9 (2014; Zbl 1313.05311)
De Koninck, Jean-Marie; Kátai, Imre Constructing normal numbers using residues of selective prime factors of integers. (English) Zbl 1313.11086 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 42, 127-133 (2014). MSC: 11K16 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 42, 127--133 (2014; Zbl 1313.11086)
Balog, A.; Rivat, J.; Sárközy, A. On arithmetic properties of sumsets. (English) Zbl 1349.11015 Acta Math. Hung. 144, No. 1, 18-42 (2014). MSC: 11B13 11K65 PDFBibTeX XMLCite \textit{A. Balog} et al., Acta Math. Hung. 144, No. 1, 18--42 (2014; Zbl 1349.11015)
Naslund, Eric The median largest prime factor. (English) Zbl 1295.11098 J. Number Theory 141, 109-118 (2014). MSC: 11N05 11N37 PDFBibTeX XMLCite \textit{E. Naslund}, J. Number Theory 141, 109--118 (2014; Zbl 1295.11098) Full Text: DOI arXiv Backlinks: MO
Meng, Xian Meng A generalization of the Siegel-Walfisz theorem and its application. (English) Zbl 1324.11059 Acta Math. Hung. 143, No. 2, 491-501 (2014). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11N45 11N25 PDFBibTeX XMLCite \textit{X. M. Meng}, Acta Math. Hung. 143, No. 2, 491--501 (2014; Zbl 1324.11059) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre Normal numbers and the middle prime factor of an integer. (English) Zbl 1304.11071 Colloq. Math. 135, No. 1, 69-77 (2014). Reviewer: Wolfgang Steiner (Sydney) MSC: 11K16 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Colloq. Math. 135, No. 1, 69--77 (2014; Zbl 1304.11071) Full Text: DOI