Jones, Lenny A new condition for \(k\)-Wall-Sun-Sun primes. (English) Zbl 07799206 Taiwanese J. Math. 28, No. 1, 17-28 (2024). MSC: 11A41 11R04 11B39 11R09 12F05 PDFBibTeX XMLCite \textit{L. Jones}, Taiwanese J. Math. 28, No. 1, 17--28 (2024; Zbl 07799206) Full Text: DOI arXiv
Banerjee, Pradipto; Kundu, Amit Factorization of composition of reciprocal polynomials with monomials. (English) Zbl 07794606 J. Number Theory 256, 79-96 (2024). MSC: 11R09 11R04 11C08 12F05 PDFBibTeX XMLCite \textit{P. Banerjee} and \textit{A. Kundu}, J. Number Theory 256, 79--96 (2024; Zbl 07794606) Full Text: DOI
Jones, Lenny Generalized Wall-Sun-Sun primes and monogenic power compositional trinomials. (English) Zbl 07809964 Albanian J. Math. 17, No. 2, 3-17 (2023). MSC: 11R04 11B39 11R09 12F05 PDFBibTeX XMLCite \textit{L. Jones}, Albanian J. Math. 17, No. 2, 3--17 (2023; Zbl 07809964) Full Text: DOI arXiv
Jones, Lenny On the monogenicity of power-compositional Shanks polynomials. (English) Zbl 07787831 Funct. Approximatio, Comment. Math. 69, No. 1, 93-103 (2023). MSC: 11B39 11R04 11R09 12F05 PDFBibTeX XMLCite \textit{L. Jones}, Funct. Approximatio, Comment. Math. 69, No. 1, 93--103 (2023; Zbl 07787831) Full Text: DOI arXiv
Kazhdan, David; Polishchuk, Alexander Almost invariant subspaces and operators. (English) Zbl 07772604 Pure Appl. Math. Q. 19, No. 4, 1975-1983 (2023). MSC: 14N07 12E05 15A21 14R20 PDFBibTeX XMLCite \textit{D. Kazhdan} and \textit{A. Polishchuk}, Pure Appl. Math. Q. 19, No. 4, 1975--1983 (2023; Zbl 07772604) Full Text: DOI arXiv
Huang, Huichi; Li, Hanfeng; Shi, Enhui; Xu, Hui Strongly independent matrices and rigidity of \(\times A\)-invariant measures on \(n\)-torus. (English) Zbl 07758469 Front. Math. (Beijing) 18, No. 1, 153-166 (2023). MSC: 37A44 37A05 37A25 37A46 43A05 28C10 12E05 15B33 PDFBibTeX XMLCite \textit{H. Huang} et al., Front. Math. (Beijing) 18, No. 1, 153--166 (2023; Zbl 07758469) Full Text: DOI arXiv
Fadinger-Held, Victor; Frisch, Sophie; Windisch, Daniel Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. (English) Zbl 07753444 Monatsh. Math. 202, No. 4, 773-789 (2023). MSC: 11R09 11C08 13A05 12E05 13F20 13F05 PDFBibTeX XMLCite \textit{V. Fadinger-Held} et al., Monatsh. Math. 202, No. 4, 773--789 (2023; Zbl 07753444) Full Text: DOI arXiv OA License
Sharma, P. L.; Ashima; Gupta, Shalini; Harish, Mansi; Kumar, Sushil Constructions of irreducible polynomials over finite fields with even characteristic. (English) Zbl 1527.11088 Indian J. Pure Appl. Math. 54, No. 3, 734-742 (2023). Reviewer: Telveenus Antony (Kingston upon Thames) MSC: 11T06 12E05 12E10 12E20 PDFBibTeX XMLCite \textit{P. L. Sharma} et al., Indian J. Pure Appl. Math. 54, No. 3, 734--742 (2023; Zbl 1527.11088) Full Text: DOI
Bary-Soroker, Lior; Koukoulopoulos, Dimitris; Kozma, Gady Irreducibility of random polynomials: general measures. (English) Zbl 07724111 Invent. Math. 233, No. 3, 1041-1120 (2023). MSC: 11R09 12E05 11N25 11T55 05A05 20B30 PDFBibTeX XMLCite \textit{L. Bary-Soroker} et al., Invent. Math. 233, No. 3, 1041--1120 (2023; Zbl 07724111) Full Text: DOI arXiv
Kazhdan, David; Polishchuk, Alexander Schmidt rank of quartics over perfect fields. (English) Zbl 1519.14049 Isr. J. Math. 255, No. 2, 851-869 (2023). Reviewer: Edoardo Ballico (Povo) MSC: 14N07 12E05 15A21 13A02 14R20 PDFBibTeX XMLCite \textit{D. Kazhdan} and \textit{A. Polishchuk}, Isr. J. Math. 255, No. 2, 851--869 (2023; Zbl 1519.14049) Full Text: DOI arXiv
Singh, Jitender; Garg, Rishu A note on Perron’s irreducibility criterion. (English) Zbl 1518.12001 Arch. Math. 121, No. 1, 33-38 (2023). MSC: 12E05 26C10 12D10 26D05 11C08 PDFBibTeX XMLCite \textit{J. Singh} and \textit{R. Garg}, Arch. Math. 121, No. 1, 33--38 (2023; Zbl 1518.12001) Full Text: DOI
Bolaños-Servín, Jorge R.; Quezada, Roberto; Vázquez-Becerra, Josué \(G\)-circulant quantum Markov semigroups. (English) Zbl 1527.81072 Open Syst. Inf. Dyn. 30, No. 1, Article ID 2350002, 29 p. (2023). MSC: 81R10 32Q02 47D07 12E05 60G10 81P16 20F05 PDFBibTeX XMLCite \textit{J. R. Bolaños-Servín} et al., Open Syst. Inf. Dyn. 30, No. 1, Article ID 2350002, 29 p. (2023; Zbl 1527.81072) Full Text: DOI
Feng, Tao; Lu, Jianbing New families of flag-transitive linear spaces. (English) Zbl 1511.05027 Finite Fields Appl. 87, Article ID 102156, 10 p. (2023). Reviewer: Hendrik Van Maldeghem (Gent) MSC: 05B25 11T06 12E05 51E05 51E23 PDFBibTeX XMLCite \textit{T. Feng} and \textit{J. Lu}, Finite Fields Appl. 87, Article ID 102156, 10 p. (2023; Zbl 1511.05027) Full Text: DOI arXiv
Singh, Jitender; Garg, Rishu Some factorization results on polynomials having integer coefficients. arXiv:2311.15611 Preprint, arXiv:2311.15611 [math.NT] (2023). MSC: 12E05 30C15 11C08 26C10 26D05 30A10 BibTeX Cite \textit{J. Singh} and \textit{R. Garg}, ``Some factorization results on polynomials having integer coefficients'', Preprint, arXiv:2311.15611 [math.NT] (2023) Full Text: DOI arXiv OA License
Singh, Jitender; Kumar, Sanjeev Irreducibility via location of zeros. arXiv:2309.08502 Preprint, arXiv:2309.08502 [math.NT] (2023). MSC: 12E05 30C15 11C08 26C10 26D05 30A10 BibTeX Cite \textit{J. Singh} and \textit{S. Kumar}, ``Irreducibility via location of zeros'', Preprint, arXiv:2309.08502 [math.NT] (2023) Full Text: arXiv OA License
Tkachev, Vladimir G. Inner isotopes associated with automorphisms of commutative associative algebras, I. arXiv:2308.16284 Preprint, arXiv:2308.16284 [math.RA] (2023). MSC: 12E05 17A01 BibTeX Cite \textit{V. G. Tkachev}, ``Inner isotopes associated with automorphisms of commutative associative algebras, I'', Preprint, arXiv:2308.16284 [math.RA] (2023) Full Text: arXiv OA License
Kumar, Sanjeev; Singh, Jitender On a factorization result of Ştefănescu – II. arXiv:2308.03046 Preprint, arXiv:2308.03046 [math.NT] (2023). MSC: 30C10 12E05 11C08 BibTeX Cite \textit{S. Kumar} and \textit{J. Singh}, ``On a factorization result of \c{S}tef\u{a}nescu -- II'', Preprint, arXiv:2308.03046 [math.NT] (2023) Full Text: arXiv OA License
Limanta, Kevin An Algebraic Interpretation of the Super Catalan Numbers. arXiv:2306.13117 Preprint, arXiv:2306.13117 [math.CO] (2023). MSC: 12E05 05E14 BibTeX Cite \textit{K. Limanta}, ``An Algebraic Interpretation of the Super Catalan Numbers'', Preprint, arXiv:2306.13117 [math.CO] (2023) Full Text: arXiv OA License
Jones, Lenny The monogenity of power-compositional Eisenstein polynomials. (English) Zbl 1524.11192 Ann. Math. Inform. 55, 93-113 (2022). MSC: 11R04 11R09 12F05 PDFBibTeX XMLCite \textit{L. Jones}, Ann. Math. Inform. 55, 93--113 (2022; Zbl 1524.11192) Full Text: DOI
Koley, Biswajit; Reddy, A. Satyanarayana An irreducible class of polynomials over integers. (English) Zbl 07644527 J. Ramanujan Math. Soc. 37, No. 4, 319-330 (2022). Reviewer: Andreas Bender (Pavia) MSC: 11R09 12D05 12D10 PDFBibTeX XMLCite \textit{B. Koley} and \textit{A. S. Reddy}, J. Ramanujan Math. Soc. 37, No. 4, 319--330 (2022; Zbl 07644527) Full Text: arXiv Link
Jones, Lenny Reciprocal monogenic quintinomials of degree \(2^n\). (English) Zbl 1521.11068 Bull. Aust. Math. Soc. 106, No. 3, 437-447 (2022). Reviewer: Jitender Singh (Amritsar) MSC: 11R09 11R04 12F05 PDFBibTeX XMLCite \textit{L. Jones}, Bull. Aust. Math. Soc. 106, No. 3, 437--447 (2022; Zbl 1521.11068) Full Text: DOI
Cele, Mpendulo; Marques, Sophie The geometry of the moduli space of non-cyclic biquadratic field extensions. (English) Zbl 1526.12002 Quaest. Math. 45, No. 10, 1501-1527 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 12F10 11R09 11R20 12E05 12F05 14D22 13A50 PDFBibTeX XMLCite \textit{M. Cele} and \textit{S. Marques}, Quaest. Math. 45, No. 10, 1501--1527 (2022; Zbl 1526.12002) Full Text: DOI arXiv
Nathanson, Melvyn B. A nonstandard proof of continuity of affine varieties. (English) Zbl 07622213 Arch. Math. 119, No. 6, 583-592 (2022). MSC: 03H05 03H15 11G35 12D10 12E05 12L15 PDFBibTeX XMLCite \textit{M. B. Nathanson}, Arch. Math. 119, No. 6, 583--592 (2022; Zbl 07622213) Full Text: DOI arXiv
Pakovich, Fedor On amenable semigroups of rational functions. (English) Zbl 1511.37055 Trans. Am. Math. Soc. 375, No. 11, 7945-7979 (2022). Reviewer: Chi-Keung Ng (Tianjin) MSC: 37F10 30D05 12E05 43A07 PDFBibTeX XMLCite \textit{F. Pakovich}, Trans. Am. Math. Soc. 375, No. 11, 7945--7979 (2022; Zbl 1511.37055) Full Text: DOI arXiv
Fagundes, Pedro Souza; Castilho de Mello, Thiago; dos Santos, Pedro Henrique da Silva On the Mesyan conjecture. (English) Zbl 1525.15015 Turk. J. Math. 46, No. 5, SI-2, 1794-1808 (2022). Reviewer: Amit Tripathi (Bangalore) MSC: 15A54 15A03 15A30 16R10 16S50 12E05 13F20 PDFBibTeX XMLCite \textit{P. S. Fagundes} et al., Turk. J. Math. 46, No. 5, 1794--1808 (2022; Zbl 1525.15015) Full Text: DOI
Kumar, Sanjeev; Singh, Jitender On a factorization result of Ştefănescu. (English) Zbl 1499.13020 Commun. Algebra 50, No. 11, 4648-4651 (2022). Reviewer: Sudesh Kaur Khanduja (Sahibzada Ajit Singh Nagar) MSC: 13A18 12E05 30C10 11C08 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{J. Singh}, Commun. Algebra 50, No. 11, 4648--4651 (2022; Zbl 1499.13020) Full Text: DOI arXiv
Pottmeyer, Lukas Two remarks on Narkiewicz’s property (P). (English) Zbl 1501.37095 Res. Number Theory 8, No. 3, Paper No. 60, 10 p. (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 37P05 11C08 11R04 11R09 12E05 11G50 37P35 PDFBibTeX XMLCite \textit{L. Pottmeyer}, Res. Number Theory 8, No. 3, Paper No. 60, 10 p. (2022; Zbl 1501.37095) Full Text: DOI arXiv
Keyes, Christopher Growth of points on hyperelliptic curves over number fields. (English. French summary) Zbl 1501.11068 J. Théor. Nombres Bordx. 34, No. 1, 271-294 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 12F05 12E05 PDFBibTeX XMLCite \textit{C. Keyes}, J. Théor. Nombres Bordx. 34, No. 1, 271--294 (2022; Zbl 1501.11068) Full Text: DOI arXiv
Dutykh, Denys; Verger-Gaugry, Jean-Louis On a class of lacunary almost Newman polynomials modulo \(p\) and density theorems. (English) Zbl 1503.11064 Unif. Distrib. Theory 17, No. 1, 29-54 (2022). Reviewer: Artūras Dubickas (Vilnius) MSC: 11C08 11R09 11R45 12E05 13P05 PDFBibTeX XMLCite \textit{D. Dutykh} and \textit{J.-L. Verger-Gaugry}, Unif. Distrib. Theory 17, No. 1, 29--54 (2022; Zbl 1503.11064) Full Text: DOI arXiv
Jones, Lenny On necessary and sufficient conditions for the monogeneity of a certain class of polynomials. (English) Zbl 1487.11097 Math. Slovaca 72, No. 3, 591-600 (2022). MSC: 11R04 11Y40 11R09 12F05 PDFBibTeX XMLCite \textit{L. Jones}, Math. Slovaca 72, No. 3, 591--600 (2022; Zbl 1487.11097) Full Text: DOI
Shorey, T. N.; Sinha, Sneh Bala Extension of Laguerre polynomials with negative arguments. II. (English) Zbl 1497.33015 Indag. Math., New Ser. 33, No. 4, 880-884 (2022). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33C45 12Exx PDFBibTeX XMLCite \textit{T. N. Shorey} and \textit{S. B. Sinha}, Indag. Math., New Ser. 33, No. 4, 880--884 (2022; Zbl 1497.33015) Full Text: DOI arXiv
Shorey, T. N.; Sinha, Sneh Bala Extension of Laguerre polynomials with negative arguments. (English) Zbl 1497.33014 Indag. Math., New Ser. 33, No. 4, 801-815 (2022). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33C45 12Exx PDFBibTeX XMLCite \textit{T. N. Shorey} and \textit{S. B. Sinha}, Indag. Math., New Ser. 33, No. 4, 801--815 (2022; Zbl 1497.33014) Full Text: DOI arXiv
Jones, Lenny Monogenic reciprocal trinomials and their Galois groups. (English) Zbl 1500.11075 J. Algebra Appl. 21, No. 2, Article ID 2250026, 11 p. (2022). Reviewer: Andreas Bender (Pavia) MSC: 11R04 11R09 12F10 PDFBibTeX XMLCite \textit{L. Jones}, J. Algebra Appl. 21, No. 2, Article ID 2250026, 11 p. (2022; Zbl 1500.11075) Full Text: DOI
Kim, Kwang Ho; Mesnager, Sihem; Choe, Jong Hyok; Lee, Dok Nam Preimages of \(p\)-linearized polynomials over \(\mathbb{F}_p\). (English) Zbl 1496.11137 Cryptogr. Commun. 14, No. 1, 75-86 (2022). MSC: 11T06 12E05 12E12 PDFBibTeX XMLCite \textit{K. H. Kim} et al., Cryptogr. Commun. 14, No. 1, 75--86 (2022; Zbl 1496.11137) Full Text: DOI arXiv
Zaïmi, Toufik On Salem half-norms. (English) Zbl 1489.11179 Quaest. Math. 45, No. 1, 91-99 (2022). Reviewer: Riccardo Pengo (Lyon) MSC: 11R06 11R09 11R80 12D10 PDFBibTeX XMLCite \textit{T. Zaïmi}, Quaest. Math. 45, No. 1, 91--99 (2022; Zbl 1489.11179) Full Text: DOI
Hodges, Timothy J.; Iyer, Hari R. Semi-regularity of pairs of Boolean polynomials. (English) Zbl 1492.13002 Finite Fields Appl. 79, Article ID 101992, 37 p. (2022). Reviewer: Manjit Singh (Murthal) MSC: 13A02 11T55 12E05 12E20 13M10 94A60 PDFBibTeX XMLCite \textit{T. J. Hodges} and \textit{H. R. Iyer}, Finite Fields Appl. 79, Article ID 101992, 37 p. (2022; Zbl 1492.13002) Full Text: DOI
Pardo, Luis M.; Sebastián, Daniel A promenade through correct test sequences. I: Degree of constructible sets, Bézout’s inequality and density. (English) Zbl 1482.68280 J. Complexity 68, Article ID 101588, 92 p. (2022). Reviewer: Amir Hashemi (Isfahan) MSC: 68W30 12E05 13F20 13P15 14Q20 68Q25 68W20 68W40 PDFBibTeX XMLCite \textit{L. M. Pardo} and \textit{D. Sebastián}, J. Complexity 68, Article ID 101588, 92 p. (2022; Zbl 1482.68280) Full Text: DOI arXiv
Nathanson, Melvyn B.; Ross, David A. Continuity of the roots of a polynomial. arXiv:2206.13013 Preprint, arXiv:2206.13013 [math.RA] (2022). MSC: 12D10 12E05 12J10 12L15 BibTeX Cite \textit{M. B. Nathanson} and \textit{D. A. Ross}, ``Continuity of the roots of a polynomial'', Preprint, arXiv:2206.13013 [math.RA] (2022) Full Text: arXiv OA License
Gotou, Rin Bracket Polynomial Expression of Discriminant-Resultants as SL2-invariant. arXiv:2211.15862 Preprint, arXiv:2211.15862 [math.AC] (2022). MSC: 13P15 13A50 12E05 13F60 37F34 BibTeX Cite \textit{R. Gotou}, ``Bracket Polynomial Expression of Discriminant-Resultants as SL2-invariant'', Preprint, arXiv:2211.15862 [math.AC] (2022) Full Text: arXiv OA License
Harrington, Joshua; Jones, Lenny The Irreducibility and Monogenicity of Power-Compositional Trinomials. arXiv:2204.07784 Preprint, arXiv:2204.07784 [math.NT] (2022). MSC: 11R04 11R09 12F05 BibTeX Cite \textit{J. Harrington} and \textit{L. Jones}, ``The Irreducibility and Monogenicity of Power-Compositional Trinomials'', Preprint, arXiv:2204.07784 [math.NT] (2022) Full Text: arXiv OA License
Goksel, Vefa A note on the factorization of iterated quadratics over finite fields. arXiv:2203.15179 Preprint, arXiv:2203.15179 [math.NT] (2022). MSC: 11T55 37P25 12E05 20E08 BibTeX Cite \textit{V. Goksel}, ``A note on the factorization of iterated quadratics over finite fields'', Preprint, arXiv:2203.15179 [math.NT] (2022) Full Text: arXiv OA License
Cheng, Dong; Hu, Xiaoxiao; Kou, Kit Ian Signal reconstruction from noisy multichannel samples. arXiv:2202.11698 Preprint, arXiv:2202.11698 [cs.IT] (2022). MSC: 39A12 11R52 41A05 12E05 BibTeX Cite \textit{D. Cheng} et al., ``Signal reconstruction from noisy multichannel samples'', Preprint, arXiv:2202.11698 [cs.IT] (2022) Full Text: DOI arXiv OA License
Paredes, Marcelo; Sasyk, Román Effective Hilbert’s Irreducibility Theorem for global fields. arXiv:2202.10420 Preprint, arXiv:2202.10420 [math.NT] (2022). MSC: 11C08 11D45 11G50 11R09 11R32 12E25 BibTeX Cite \textit{M. Paredes} and \textit{R. Sasyk}, ``Effective Hilbert's Irreducibility Theorem for global fields'', Preprint, arXiv:2202.10420 [math.NT] (2022) Full Text: arXiv OA License
Jones, Lenny Infinite families of reciprocal monogenic polynomials and their Galois groups. (English) Zbl 1487.11096 New York J. Math. 27, 1465-1493 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R09 12F05 PDFBibTeX XMLCite \textit{L. Jones}, New York J. Math. 27, 1465--1493 (2021; Zbl 1487.11096) Full Text: Link
Bary-Soroker, Lior; Ben-Porath, Or On the Galois theory of generalized Laguerre polynomials and trimmed exponential. (English) Zbl 1489.11180 Acta Arith. 200, No. 2, 183-196 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R09 11B83 11C08 11R32 12E05 33C45 42C05 PDFBibTeX XMLCite \textit{L. Bary-Soroker} and \textit{O. Ben-Porath}, Acta Arith. 200, No. 2, 183--196 (2021; Zbl 1489.11180) Full Text: DOI arXiv
Dilcher, Karl; Ericksen, Larry Polynomials whose coefficients are Stern numbers. (English) Zbl 1487.11028 J. Integer Seq. 24, No. 10, Article 21.10.3, 28 p. (2021). Reviewer: Maciej Ulas (Kraków) MSC: 11B83 30C15 12D05 PDFBibTeX XMLCite \textit{K. Dilcher} and \textit{L. Ericksen}, J. Integer Seq. 24, No. 10, Article 21.10.3, 28 p. (2021; Zbl 1487.11028) Full Text: Link
Jones, Lenny; White, Daniel Monogenic trinomials with non-squarefree discriminant. (English) Zbl 1478.11125 Int. J. Math. 32, No. 13, Article ID 2150089, 21 p. (2021). MSC: 11R04 11R09 11R32 12F12 PDFBibTeX XMLCite \textit{L. Jones} and \textit{D. White}, Int. J. Math. 32, No. 13, Article ID 2150089, 21 p. (2021; Zbl 1478.11125) Full Text: DOI arXiv
Zhang, Robin A Galois-dynamics correspondence for unicritical polynomials. (English) Zbl 1485.37092 Arnold Math. J. 7, No. 3, 467-481 (2021). MSC: 37P05 37P35 11S15 12F10 PDFBibTeX XMLCite \textit{R. Zhang}, Arnold Math. J. 7, No. 3, 467--481 (2021; Zbl 1485.37092) Full Text: DOI arXiv
Harrington, Joshua; Jones, Lenny Some new polynomial discriminant formulas. (English) Zbl 1483.11237 Lith. Math. J. 61, No. 4, 483-490 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R09 12F05 PDFBibTeX XMLCite \textit{J. Harrington} and \textit{L. Jones}, Lith. Math. J. 61, No. 4, 483--490 (2021; Zbl 1483.11237) Full Text: DOI
Jones, Lenny Sextic reciprocal monogenic dihedral polynomials. (English) Zbl 1487.11095 Ramanujan J. 56, No. 3, 1099-1110 (2021). Reviewer: Radoslav M. Dimitrić (New York) MSC: 11R04 11R09 12F05 05E05 11R21 PDFBibTeX XMLCite \textit{L. Jones}, Ramanujan J. 56, No. 3, 1099--1110 (2021; Zbl 1487.11095) Full Text: DOI
Trang, Du Thu; Toan, Ho Minh; Hong, Nguyen Thi Algebra of polynomials bounded on a semi-algebraic set \([ f\leq r ]\). (English) Zbl 1482.14060 Acta Math. Vietnam. 46, No. 4, 821-838 (2021). Reviewer: Tien-Son Pham (Dalat) MSC: 14P10 12D15 12E05 13J30 44A60 PDFBibTeX XMLCite \textit{D. T. Trang} et al., Acta Math. Vietnam. 46, No. 4, 821--838 (2021; Zbl 1482.14060) Full Text: DOI
de Oliveira, Nathália Moraes Invariants of algebraic elements over Henselian fields. (English) Zbl 1485.13010 Commun. Algebra 49, No. 12, 5435-5448 (2021). Reviewer: Sudesh Kaur Khanduja (Sahibzada Ajit Singh Nagar) MSC: 13A18 12J10 12E05 PDFBibTeX XMLCite \textit{N. M. de Oliveira}, Commun. Algebra 49, No. 12, 5435--5448 (2021; Zbl 1485.13010) Full Text: DOI arXiv
Kim, Kwang Ho; Choe, Jong Hyok; Mesnager, Sihem Complete solution over \(\mathbb{F}_{p^n}\) of the equation \(X^{p^k+1}+X+a=0\). (English) Zbl 1505.12002 Finite Fields Appl. 76, Article ID 101902, 13 p. (2021). Reviewer: Anatoliy Petravchuk (Kyïv) MSC: 12E05 12E12 12E10 11T06 PDFBibTeX XMLCite \textit{K. H. Kim} et al., Finite Fields Appl. 76, Article ID 101902, 13 p. (2021; Zbl 1505.12002) Full Text: DOI arXiv
van der Hoeven, Joris; Lecerf, Grégoire Fast amortized multi-point evaluation. (English) Zbl 1528.68424 J. Complexity 67, Article ID 101574, 15 p. (2021). MSC: 68W30 12E05 68Q25 PDFBibTeX XMLCite \textit{J. van der Hoeven} and \textit{G. Lecerf}, J. Complexity 67, Article ID 101574, 15 p. (2021; Zbl 1528.68424) Full Text: DOI HAL
Dittmann, Philip; Leijnse, Dion A class of fields with a restricted model completeness property. (English) Zbl 1496.12003 J. Symb. Log. 86, No. 2, 701-708 (2021). Reviewer: Luc Bélair (Montréal) MSC: 12L12 03C10 12E05 PDFBibTeX XMLCite \textit{P. Dittmann} and \textit{D. Leijnse}, J. Symb. Log. 86, No. 2, 701--708 (2021; Zbl 1496.12003) Full Text: DOI arXiv
Bewersdorff, Jörg Galois theory for beginners. A historical perspective. Translated from the 6th German edition by David Kramer. 2nd edition. (English) Zbl 1471.12001 Student Mathematical Library 95. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6500-1/pbk). xx, 217 p. (2021). MSC: 12-01 12F10 12-03 00A05 12E05 12E10 12E12 PDFBibTeX XMLCite \textit{J. Bewersdorff}, Galois theory for beginners. A historical perspective. Translated from the 6th German edition by David Kramer. 2nd edition. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1471.12001)
Jones, Lenny Infinite families of non-monogenic trinomials. (English) Zbl 1488.11163 Acta Sci. Math. 87, No. 1-2, 95-105 (2021). MSC: 11R04 11R09 12F05 PDFBibTeX XMLCite \textit{L. Jones}, Acta Sci. Math. 87, No. 1--2, 95--105 (2021; Zbl 1488.11163) Full Text: DOI
Bamunoba, Alex Samuel; Bergström, Jonas A search for c-Wieferich primes. (English) Zbl 1489.11204 Int. J. Number Theory 17, No. 7, 1599-1616 (2021). Reviewer: Othman Echi (Dhahran) MSC: 11T55 11A41 12E05 PDFBibTeX XMLCite \textit{A. S. Bamunoba} and \textit{J. Bergström}, Int. J. Number Theory 17, No. 7, 1599--1616 (2021; Zbl 1489.11204) Full Text: DOI arXiv
Abdollahi, Alireza; Taheri, Zahra Zero divisors of support size 3 in group algebras and trinomials divided by irreducible polynomials over GF(2). (English) Zbl 1476.16022 Rend. Semin. Mat. Univ. Padova 145, 191-203 (2021). Reviewer: Anatolii Tushev (Dnipro) MSC: 16S34 20C05 12E05 20E26 PDFBibTeX XMLCite \textit{A. Abdollahi} and \textit{Z. Taheri}, Rend. Semin. Mat. Univ. Padova 145, 191--203 (2021; Zbl 1476.16022) Full Text: DOI arXiv
Liu, Heguo; Liao, Jun An application of irreducible polynomials. (Chinese. English summary) Zbl 1474.12002 J. Hubei Univ., Nat. Sci. 43, No. 1, 1-5 (2021). MSC: 12E05 11C08 PDFBibTeX XMLCite \textit{H. Liu} and \textit{J. Liao}, J. Hubei Univ., Nat. Sci. 43, No. 1, 1--5 (2021; Zbl 1474.12002) Full Text: DOI
Singh, Jitender; Kumar, Sanjeev A new class of irreducible polynomials. (English) Zbl 1471.11117 Commun. Algebra 49, No. 6, 2722-2727 (2021). Reviewer: El Hassane Fliouet (Agadir) MSC: 11C08 12E05 PDFBibTeX XMLCite \textit{J. Singh} and \textit{S. Kumar}, Commun. Algebra 49, No. 6, 2722--2727 (2021; Zbl 1471.11117) Full Text: DOI arXiv
Ounaies, M.; Rhin, G.; Sac-Épée, J.-M. On the relations between the zeros of a polynomial and its Mahler measure. (English) Zbl 1467.11094 J. Number Theory 224, 165-190 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11C08 11R04 11R09 12D10 PDFBibTeX XMLCite \textit{M. Ounaies} et al., J. Number Theory 224, 165--190 (2021; Zbl 1467.11094) Full Text: DOI arXiv
Jones, Lenny Some new infinite families of monogenic polynomials with non-squarefree discriminant. (English) Zbl 1465.11204 Acta Arith. 197, No. 2, 213-219 (2021). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R09 12F05 PDFBibTeX XMLCite \textit{L. Jones}, Acta Arith. 197, No. 2, 213--219 (2021; Zbl 1465.11204) Full Text: DOI
Kim, Kwang Ho; Choe, Junyop; Mesnager, Sihem Solving \(X^{q+1}+X+a=0\) over finite fields. (English) Zbl 1476.12001 Finite Fields Appl. 70, Article ID 101797, 17 p. (2021). Reviewer: Anatoliy Petravchuk (Kyiv) MSC: 12E05 12E12 12E10 PDFBibTeX XMLCite \textit{K. H. Kim} et al., Finite Fields Appl. 70, Article ID 101797, 17 p. (2021; Zbl 1476.12001) Full Text: DOI arXiv
Hong, Hoon; Yang, Jing A condition for multiplicity structure of univariate polynomials. (English) Zbl 1469.13056 J. Symb. Comput. 104, 523-538 (2021). Reviewer: Amir Hashemi (Isfahan) MSC: 13P15 12D10 12E05 PDFBibTeX XMLCite \textit{H. Hong} and \textit{J. Yang}, J. Symb. Comput. 104, 523--538 (2021; Zbl 1469.13056) Full Text: DOI arXiv
Hare, Kevin G.; Jankauskas, Jonas On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk. (English) Zbl 1461.11141 Math. Comput. 90, No. 328, 831-870 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11R09 12D10 11C08 11B83 65H04 PDFBibTeX XMLCite \textit{K. G. Hare} and \textit{J. Jankauskas}, Math. Comput. 90, No. 328, 831--870 (2021; Zbl 1461.11141) Full Text: DOI arXiv
Bevelacqua, Anthony J. Artin-Schreier binomials. (English) Zbl 1457.12003 Commun. Algebra 49, No. 1, 263-277 (2021). MSC: 12E05 12F05 12F10 PDFBibTeX XMLCite \textit{A. J. Bevelacqua}, Commun. Algebra 49, No. 1, 263--277 (2021; Zbl 1457.12003) Full Text: DOI
Beneish, Lea; Keyes, Christopher Fields generated by points on superelliptic curves. arXiv:2103.16672 Preprint, arXiv:2103.16672 [math.NT] (2021). MSC: 11G30 11D45 12E05 BibTeX Cite \textit{L. Beneish} and \textit{C. Keyes}, ``Fields generated by points on superelliptic curves'', Preprint, arXiv:2103.16672 [math.NT] (2021) Full Text: arXiv OA License
Gathen, Joachim von zur; Matera, Guillermo Interpolation by decomposable univariate polynomials. arXiv:2103.15926 Preprint, arXiv:2103.15926 [math.AG] (2021). MSC: 12E05 68W30 14Q05 14Q20 BibTeX Cite \textit{J. von z. Gathen} and \textit{G. Matera}, ``Interpolation by decomposable univariate polynomials'', Preprint, arXiv:2103.15926 [math.AG] (2021) Full Text: arXiv OA License
Schwarzweller, Christoph Renamings and a condition-free formalization of Kronecker’s construction. (English) Zbl 07488865 Formaliz. Math. 28, No. 2, 129-135 (2020). MSC: 68V20 12E05 12F05 68V20 PDFBibTeX XMLCite \textit{C. Schwarzweller}, Formaliz. Math. 28, No. 2, 129--135 (2020; Zbl 07488865) Full Text: DOI
Hooshmand, M. H. Some combinatorial relations and identities arising from polynomials with multiple roots. (English) Zbl 1513.12005 Ars Comb. 150, 121-126 (2020). Reviewer: I. M. Erusalimskiy (Rostow-na-Donu) MSC: 12E05 05A19 05E99 12E12 PDFBibTeX XMLCite \textit{M. H. Hooshmand}, Ars Comb. 150, 121--126 (2020; Zbl 1513.12005)
Hou, Xiang-dong; Sze, Christopher On a type of permutation rational functions over finite fields. (English) Zbl 1456.11219 Finite Fields Appl. 68, Article ID 101758, 9 p. (2020). MSC: 11R58 11T06 12E12 14H05 PDFBibTeX XMLCite \textit{X.-d. Hou} and \textit{C. Sze}, Finite Fields Appl. 68, Article ID 101758, 9 p. (2020; Zbl 1456.11219) Full Text: DOI arXiv
Mesnager, Sihem; Kim, Kwang Ho; Choe, Jong Hyok; Lee, Dok Nam Solving some affine equations over finite fields. (English) Zbl 1469.12004 Finite Fields Appl. 68, Article ID 101746, 20 p. (2020). Reviewer: Grant Molnar (Hanover) MSC: 12E05 12E12 PDFBibTeX XMLCite \textit{S. Mesnager} et al., Finite Fields Appl. 68, Article ID 101746, 20 p. (2020; Zbl 1469.12004) Full Text: DOI arXiv
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah The Schinzel hypothesis for polynomials. (English) Zbl 1469.12003 Trans. Am. Math. Soc. 373, No. 12, 8339-8364 (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 12E05 11C08 12E25 13F20 PDFBibTeX XMLCite \textit{A. Bodin} et al., Trans. Am. Math. Soc. 373, No. 12, 8339--8364 (2020; Zbl 1469.12003) Full Text: DOI arXiv
Mesnager, Sihem; Kim, Kwang Ho; Choe, Jong Hyok; Lee, Dok Nam; Go, Dae Song Solving \(x+x^{2^l}+\ldots +x^{2^{ml}}=a\) over \(\mathbb{F}_{2^n} \). (English) Zbl 1446.11207 Cryptogr. Commun. 12, No. 4, 809-817 (2020). MSC: 11T06 12E05 PDFBibTeX XMLCite \textit{S. Mesnager} et al., Cryptogr. Commun. 12, No. 4, 809--817 (2020; Zbl 1446.11207) Full Text: DOI
Jones, Lenny Generating infinite families of monogenic polynomials using a new discriminant formula. (English) Zbl 1441.11268 Albanian J. Math. 14, 37-45 (2020). MSC: 11R04 11R09 12F05 PDFBibTeX XMLCite \textit{L. Jones}, Albanian J. Math. 14, 37--45 (2020; Zbl 1441.11268) Full Text: Link
Dubickas, Artūras; Jankauskas, Jonas Linear relations with conjugates of a Salem number. (English. French summary) Zbl 1452.11129 J. Théor. Nombres Bordx. 32, No. 1, 179-191 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11R09 12D10 PDFBibTeX XMLCite \textit{A. Dubickas} and \textit{J. Jankauskas}, J. Théor. Nombres Bordx. 32, No. 1, 179--191 (2020; Zbl 1452.11129) Full Text: DOI arXiv
Najib, Salah The spectrum of a rational function. (English) Zbl 1458.12001 Algebra Colloq. 27, No. 3, 477-482 (2020). Reviewer: El Hassane Fliouet (Agadir) MSC: 12E05 11C08 12F05 12-08 PDFBibTeX XMLCite \textit{S. Najib}, Algebra Colloq. 27, No. 3, 477--482 (2020; Zbl 1458.12001) Full Text: DOI
Dubickas, Artūras On the distance between two algebraic numbers. (English) Zbl 1470.11045 Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 3049-3064 (2020). MSC: 11C08 11R09 12D10 PDFBibTeX XMLCite \textit{A. Dubickas}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 3049--3064 (2020; Zbl 1470.11045) Full Text: DOI
Banerjee, Pradipto; Bera, Ranjan An irreducibility question concerning modifications of Laguerre polynomials. (English) Zbl 1470.11271 Int. J. Number Theory 16, No. 5, 1031-1051 (2020). MSC: 11R09 12E05 33C45 PDFBibTeX XMLCite \textit{P. Banerjee} and \textit{R. Bera}, Int. J. Number Theory 16, No. 5, 1031--1051 (2020; Zbl 1470.11271) Full Text: DOI
Tarizadeh, Abolfazl A fresh look into monoid rings and formal power series rings. (English) Zbl 1440.13093 J. Algebra Appl. 19, No. 1, Article ID 2050003, 13 p. (2020). Reviewer: Ali Benhissi (Monastir) MSC: 13F20 13M10 12E05 13F25 13J05 30C10 37F10 37P05 PDFBibTeX XMLCite \textit{A. Tarizadeh}, J. Algebra Appl. 19, No. 1, Article ID 2050003, 13 p. (2020; Zbl 1440.13093) Full Text: DOI arXiv
Dodig, Marija; Stošić, Marko Combinatorics of polynomial chains. (English) Zbl 1437.05021 Linear Algebra Appl. 589, 130-157 (2020). MSC: 05A20 15A83 12E05 PDFBibTeX XMLCite \textit{M. Dodig} and \textit{M. Stošić}, Linear Algebra Appl. 589, 130--157 (2020; Zbl 1437.05021) Full Text: DOI
Schwarzweller, Christoph Field extensions and Kronecker’s construction. (English) Zbl 1433.68584 Formaliz. Math. 27, No. 3, 229-235 (2020). MSC: 68V20 12E05 12F05 PDFBibTeX XMLCite \textit{C. Schwarzweller}, Formaliz. Math. 27, No. 3, 229--235 (2020; Zbl 1433.68584) Full Text: DOI
Schwarzweller, Christoph On the intersection of fields \(F\) with \(F[X]\). (English) Zbl 1433.68583 Formaliz. Math. 27, No. 3, 223-228 (2020). MSC: 68V20 12E05 12F05 PDFBibTeX XMLCite \textit{C. Schwarzweller}, Formaliz. Math. 27, No. 3, 223--228 (2020; Zbl 1433.68583) Full Text: DOI
Bober, J. W.; Fretwell, D.; Martin, G.; Wooley, T. D. Smooth values of polynomials. (English) Zbl 1482.11126 J. Aust. Math. Soc. 108, No. 2, 245-261 (2020). Reviewer: Artūras Dubickas (Vilnius) MSC: 11N32 11N25 12E05 PDFBibTeX XMLCite \textit{J. W. Bober} et al., J. Aust. Math. Soc. 108, No. 2, 245--261 (2020; Zbl 1482.11126) Full Text: DOI arXiv
König, Joachim On number fields with power-free discriminant. (English) Zbl 1455.11151 Isr. J. Math. 235, No. 1, 413-437 (2020). Reviewer: Mouad Moutaoukil (Fès) MSC: 11R32 11R29 12F12 11R09 PDFBibTeX XMLCite \textit{J. König}, Isr. J. Math. 235, No. 1, 413--437 (2020; Zbl 1455.11151) Full Text: DOI arXiv
Alon, Noga; Balla, Igor; Gishboliner, Lior; Mond, Adva; Mousset, Frank The minrank of random graphs over arbitrary fields. (English) Zbl 1434.05128 Isr. J. Math. 235, No. 1, 63-77 (2020). MSC: 05C80 05C50 05A16 60C05 12E05 PDFBibTeX XMLCite \textit{N. Alon} et al., Isr. J. Math. 235, No. 1, 63--77 (2020; Zbl 1434.05128) Full Text: DOI arXiv
Nowicki, Andrzej Finitely generated subrings of \(R[x]\). (English) Zbl 1520.13028 Krasiński, Tadeusz (ed.) et al., Analytic and algebraic geometry 3. In remembrance of Jacek Chądzyński and on the occasion of the 70th birthdays of Tadeusz Krasiński and Andrzej Nowicki. Łódź: Łódź University Press. 179-189 (2019). MSC: 13F20 13B21 12E05 PDFBibTeX XMLCite \textit{A. Nowicki}, in: Analytic and algebraic geometry 3. In remembrance of Jacek Chądzyński and on the occasion of the 70th birthdays of Tadeusz Krasiński and Andrzej Nowicki. Łódź: Łódź University Press. 179--189 (2019; Zbl 1520.13028) Full Text: DOI
Farb, Benson; Wolfson, Jesse Resolvent degree, Hilbert’s 13th problem and geometry. (English) Zbl 1460.14104 Enseign. Math. (2) 65, No. 3-4, 303-376 (2019). MSC: 14L30 14-02 14N10 14H30 12E05 12F10 14G27 PDFBibTeX XMLCite \textit{B. Farb} and \textit{J. Wolfson}, Enseign. Math. (2) 65, No. 3--4, 303--376 (2019; Zbl 1460.14104) Full Text: DOI arXiv
Breuillard, Emmanuel; Varjú, Péter P. Irreducibility of random polynomials of large degree. (English) Zbl 1459.11079 Acta Math. 223, No. 2, 195-249 (2019). MSC: 11C08 12D10 11R42 60J10 PDFBibTeX XMLCite \textit{E. Breuillard} and \textit{P. P. Varjú}, Acta Math. 223, No. 2, 195--249 (2019; Zbl 1459.11079) Full Text: DOI arXiv
Schwarzweller, Christoph On monomorphisms and subfields. (English) Zbl 1432.68545 Formaliz. Math. 27, No. 2, 133-137 (2019). MSC: 68V20 12E05 12F05 PDFBibTeX XMLCite \textit{C. Schwarzweller}, Formaliz. Math. 27, No. 2, 133--137 (2019; Zbl 1432.68545) Full Text: DOI
Schwarzweller, Christoph On roots of polynomials over \(F[X]/<p>\). (English) Zbl 1432.68544 Formaliz. Math. 27, No. 2, 93-100 (2019). MSC: 68V20 12E05 12F05 PDFBibTeX XMLCite \textit{C. Schwarzweller}, Formaliz. Math. 27, No. 2, 93--100 (2019; Zbl 1432.68544) Full Text: DOI
Ramya, C.; Raghavendra Rao, B. V. Linear projections of the Vandermonde polynomial. (English) Zbl 1437.65019 Theor. Comput. Sci. 795, 165-182 (2019). Reviewer: Krassimir Atanassov (Sofia) MSC: 65F40 15A15 11R09 12D05 68Q17 PDFBibTeX XMLCite \textit{C. Ramya} and \textit{B. V. Raghavendra Rao}, Theor. Comput. Sci. 795, 165--182 (2019; Zbl 1437.65019) Full Text: DOI arXiv
Jones, Lenny A brief note on some infinite families of monogenic polynomials. (English) Zbl 1461.11138 Bull. Aust. Math. Soc. 100, No. 2, 239-244 (2019). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R09 12F05 PDFBibTeX XMLCite \textit{L. Jones}, Bull. Aust. Math. Soc. 100, No. 2, 239--244 (2019; Zbl 1461.11138) Full Text: DOI
Goksel, Vefa Markov processes and some PCF quadratic polynomials. (English) Zbl 1470.11292 Res. Number Theory 5, No. 3, Paper No. 29, 50 p. (2019). MSC: 11R32 12E05 20E08 37P15 PDFBibTeX XMLCite \textit{V. Goksel}, Res. Number Theory 5, No. 3, Paper No. 29, 50 p. (2019; Zbl 1470.11292) Full Text: DOI arXiv
Filaseta, Michael A class of irreducible polynomials associated with prime divisors of values of cyclotomic polynomials. (English) Zbl 1457.11147 Mathematika 65, No. 4, 1033-1037 (2019). Reviewer: Salah Najib (Khouribga) MSC: 11R09 11C08 11B83 11N05 12E05 PDFBibTeX XMLCite \textit{M. Filaseta}, Mathematika 65, No. 4, 1033--1037 (2019; Zbl 1457.11147) Full Text: DOI
Ahmadi, Amir Ali; Majumdar, Anirudha DSOS and SDSOS optimization: more tractable alternatives to sum of squares and semidefinite optimization. (English) Zbl 1465.90061 SIAM J. Appl. Algebra Geom. 3, No. 2, 193-230 (2019). MSC: 90C25 90C22 65K05 12E05 93C85 14P10 PDFBibTeX XMLCite \textit{A. A. Ahmadi} and \textit{A. Majumdar}, SIAM J. Appl. Algebra Geom. 3, No. 2, 193--230 (2019; Zbl 1465.90061) Full Text: DOI arXiv
Schinzel, A. Corrigendum to the paper “Reducibility of lacunary polynomials XII”. (English) Zbl 1423.11183 Acta Arith. 188, No. 1, 99 (2019). MSC: 11R09 12E05 PDFBibTeX XMLCite \textit{A. Schinzel}, Acta Arith. 188, No. 1, 99 (2019; Zbl 1423.11183) Full Text: DOI
Bewersdorff, Jörg Algebra for beginners. From the solution of equations to Galois theory. 6th edition. (Algebra für Einsteiger. Von der Gleichungsauflösung zur Galois-Theorie.) (German) Zbl 1411.12002 Lehrbuch. Wiesbaden: Springer Spektrum (ISBN 978-3-658-26151-1/pbk; 978-3-658-26152-8/ebook). xxii, 242 p. (2019). MSC: 12-01 12F10 00A05 12-03 12E05 12E10 12E12 11R32 PDFBibTeX XMLCite \textit{J. Bewersdorff}, Algebra für Einsteiger. Von der Gleichungsauflösung zur Galois-Theorie. 6th edition. Wiesbaden: Springer Spektrum (2019; Zbl 1411.12002) Full Text: DOI
Falcão, M. Irene; Miranda, Fernando; Severino, Ricardo; Soares, M. Joana The number of zeros of unilateral polynomials over coquaternions revisited. (English) Zbl 1411.15013 Linear Multilinear Algebra 67, No. 6, 1231-1249 (2019). MSC: 15A66 12E05 65H04 PDFBibTeX XMLCite \textit{M. I. Falcão} et al., Linear Multilinear Algebra 67, No. 6, 1231--1249 (2019; Zbl 1411.15013) Full Text: DOI arXiv