Poteaux, Adrien; Weimann, Martin A quasi-linear irreducibility test in \(\mathbb{K}[[x]][y]\). (English) Zbl 07548101 Comput. Complexity 31, No. 1, Paper No. 6, 52 p. (2022). MSC: 13P05 14H20 14B05 68W30 11S05 PDF BibTeX XML Cite \textit{A. Poteaux} and \textit{M. Weimann}, Comput. Complexity 31, No. 1, Paper No. 6, 52 p. (2022; Zbl 07548101) Full Text: DOI OpenURL
Ben Nasr, Mabrouk; Kthiri, Hassen On algebraic integers which are 2-Salem elements in positive characteristic. (English) Zbl 07543091 Int. J. Number Theory 18, No. 7, 1637-1650 (2022). MSC: 11R04 11R06 11R09 11R52 12D10 PDF BibTeX XML Cite \textit{M. Ben Nasr} and \textit{H. Kthiri}, Int. J. Number Theory 18, No. 7, 1637--1650 (2022; Zbl 07543091) Full Text: DOI OpenURL
Dutykh, Denys; Verger-Gaugry, Jean-Louis On a class of lacunary almost Newman polynomials modulo \(p\) and density theorems. (English) Zbl 07542606 Unif. Distrib. Theory 17, No. 1, 29-54 (2022). MSC: 11C08 11R09 11R45 12E05 13P05 PDF BibTeX XML Cite \textit{D. Dutykh} and \textit{J.-L. Verger-Gaugry}, Unif. Distrib. Theory 17, No. 1, 29--54 (2022; Zbl 07542606) Full Text: DOI OpenURL
Jones, Lenny On necessary and sufficient conditions for the monogeneity of a certain class of polynomials. (English) Zbl 07541629 Math. Slovaca 72, No. 3, 591-600 (2022). MSC: 11R04 11Y40 11R09 12F05 PDF BibTeX XML Cite \textit{L. Jones}, Math. Slovaca 72, No. 3, 591--600 (2022; Zbl 07541629) Full Text: DOI OpenURL
Cortez, María Isabel; Lukina, Olga Settled elements in profinite groups. (English) Zbl 07537703 Adv. Math. 404, Part B, Article ID 108424, 56 p. (2022). MSC: 37P05 37P15 37E25 20E18 20E08 20E28 22B05 37F10 37B05 11R09 11R32 22A05 20E22 PDF BibTeX XML Cite \textit{M. I. Cortez} and \textit{O. Lukina}, Adv. Math. 404, Part B, Article ID 108424, 56 p. (2022; Zbl 07537703) Full Text: DOI OpenURL
Bhargava, Manjul; Shankar, Arul; Wang, Xiaoheng Squarefree values of polynomial discriminants. I. (English) Zbl 07526074 Invent. Math. 228, No. 3, 1037-1073 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11R32 11R45 11R29 11G30 11R09 PDF BibTeX XML Cite \textit{M. Bhargava} et al., Invent. Math. 228, No. 3, 1037--1073 (2022; Zbl 07526074) Full Text: DOI OpenURL
Jones, Lenny Monogenic reciprocal trinomials and their Galois groups. (English) Zbl 07522545 J. Algebra Appl. 21, No. 2, Article ID 2250026, 11 p. (2022). MSC: 11R04 11R09 12F05 PDF BibTeX XML Cite \textit{L. Jones}, J. Algebra Appl. 21, No. 2, Article ID 2250026, 11 p. (2022; Zbl 07522545) Full Text: DOI OpenURL
Frisch, Sophie; Nakato, Sarah; Rissner, Roswitha Split absolutely irreducible integer-valued polynomials over discrete valuation domains. (English) Zbl 07515336 J. Algebra 602, 247-277 (2022). MSC: 13A05 11S05 11R09 13B25 13F20 11C08 PDF BibTeX XML Cite \textit{S. Frisch} et al., J. Algebra 602, 247--277 (2022; Zbl 07515336) Full Text: DOI OpenURL
Kim, Kwang Ho; Mesnager, Sihem; Choe, Jong Hyok; Lee, Dok Nam Preimages of \(p\)-linearized polynomials over \(\mathbb{F}_p\). (English) Zbl 07513131 Cryptogr. Commun. 14, No. 1, 75-86 (2022). MSC: 11D04 12E05 12E12 PDF BibTeX XML Cite \textit{K. H. Kim} et al., Cryptogr. Commun. 14, No. 1, 75--86 (2022; Zbl 07513131) Full Text: DOI OpenURL
Boxall, Gareth; Jones, Gareth A.; Schmidt, Harry Rational values of transcendental functions and arithmetic dynamics. (English) Zbl 07509403 J. Eur. Math. Soc. (JEMS) 24, No. 5, 1567-1592 (2022). MSC: 37P05 37F10 37F15 11G50 11R09 30D35 PDF BibTeX XML Cite \textit{G. Boxall} et al., J. Eur. Math. Soc. (JEMS) 24, No. 5, 1567--1592 (2022; Zbl 07509403) Full Text: DOI OpenURL
Park, Cheol-Min; Park, Sun Woo Minimal degrees of algebraic numbers with respect to primitive elements. (English) Zbl 07505283 Int. J. Number Theory 18, No. 3, 485-500 (2022). MSC: 11R04 11R09 14G05 14H52 PDF BibTeX XML Cite \textit{C.-M. Park} and \textit{S. W. Park}, Int. J. Number Theory 18, No. 3, 485--500 (2022; Zbl 07505283) Full Text: DOI OpenURL
Bodin, Arnaud; Dèbes, Pierre; König, Joachim; Najib, Salah The Hilbert-Schinzel specialization property. (English) Zbl 07503387 J. Reine Angew. Math. 785, 55-79 (2022). MSC: 11N32 11R09 13F05 PDF BibTeX XML Cite \textit{A. Bodin} et al., J. Reine Angew. Math. 785, 55--79 (2022; Zbl 07503387) Full Text: DOI OpenURL
Shanin, A. V.; Korolkov, A. I. Diffraction by a Dirichlet right angle on a discrete planar lattice. (English) Zbl 07502108 Q. Appl. Math. 80, No. 2, 277-315 (2022). MSC: 12F05 57Z05 12E05 PDF BibTeX XML Cite \textit{A. V. Shanin} and \textit{A. I. Korolkov}, Q. Appl. Math. 80, No. 2, 277--315 (2022; Zbl 07502108) Full Text: DOI OpenURL
Zaïmi, Toufik On Salem half-norms. (English) Zbl 07495688 Quaest. Math. 45, No. 1, 91-99 (2022). Reviewer: Riccardo Pengo (Lyon) MSC: 11R06 11R09 11R80 12D10 PDF BibTeX XML Cite \textit{T. Zaïmi}, Quaest. Math. 45, No. 1, 91--99 (2022; Zbl 07495688) Full Text: DOI OpenURL
Balister, Paul; Bollobás, Béla; Morris, Robert; Sahasrabudhe, Julian; Tiba, Marius On the Erdős covering problem: the density of the uncovered set. (English) Zbl 07495376 Invent. Math. 228, No. 1, 377-414 (2022). MSC: 11B25 11A07 11N05 11R09 05B40 PDF BibTeX XML Cite \textit{P. Balister} et al., Invent. Math. 228, No. 1, 377--414 (2022; Zbl 07495376) Full Text: DOI OpenURL
Dubickas, Artūras A game with two players choosing the coefficients of a polynomial. (English) Zbl 07493941 Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 793-805 (2022). MSC: 11C08 11R09 11S05 91A46 PDF BibTeX XML Cite \textit{A. Dubickas}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 793--805 (2022; Zbl 07493941) Full Text: DOI OpenURL
Hodges, Timothy J.; Iyer, Hari R. Semi-regularity of pairs of Boolean polynomials. (English) Zbl 07483329 Finite Fields Appl. 79, Article ID 101992, 37 p. (2022). MSC: 13A02 11T55 12E05 12E20 13M10 94A60 PDF BibTeX XML Cite \textit{T. J. Hodges} and \textit{H. R. Iyer}, Finite Fields Appl. 79, Article ID 101992, 37 p. (2022; Zbl 07483329) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{L. M. Pardo} and \textit{D. Sebastián}, J. Complexity 68, Article ID 101588, 92 p. (2022; Zbl 1482.68280) Full Text: DOI arXiv OpenURL
Pham, Lam; Thilmany, François Arithmetic groups and the Lehmer conjecture. (English) Zbl 07513378 Isr. J. Math. 245, No. 2, 839-868 (2021). MSC: 11R06 20G20 11R09 20H10 22E40 PDF BibTeX XML Cite \textit{L. Pham} and \textit{F. Thilmany}, Isr. J. Math. 245, No. 2, 839--868 (2021; Zbl 07513378) Full Text: DOI OpenURL
Miller, Russell Computable procedures for fields. (English) Zbl 07495181 De Mol, Liesbeth (ed.) et al., Connecting with computability. 17th conference on computability in Europe, CiE 2021, virtual event, Ghent, Belgium, July 5–9, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12813, 342-352 (2021). MSC: 68Qxx PDF BibTeX XML Cite \textit{R. Miller}, Lect. Notes Comput. Sci. 12813, 342--352 (2021; Zbl 07495181) Full Text: DOI OpenURL
Jones, Lenny Infinite families of reciprocal monogenic polynomials and their Galois groups. (English) Zbl 07474332 New York J. Math. 27, 1465-1493 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R09 12F05 PDF BibTeX XML Cite \textit{L. Jones}, New York J. Math. 27, 1465--1493 (2021; Zbl 07474332) Full Text: Link OpenURL
Bary-Soroker, Lior; Ben-Porath, Or On the Galois theory of generalized Laguerre polynomials and trimmed exponential. (English) Zbl 07474084 Acta Arith. 200, No. 2, 183-196 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R09 11B83 11C08 11R32 12E05 33C45 42C05 PDF BibTeX XML Cite \textit{L. Bary-Soroker} and \textit{O. Ben-Porath}, Acta Arith. 200, No. 2, 183--196 (2021; Zbl 07474084) Full Text: DOI arXiv OpenURL
Bayad, Abdelmejid; Seddik, Mohammed On the indices in number fields and their computation for small degrees. (English) Zbl 07472237 Appl. Anal. Discrete Math. 15, No. 1, 27-44 (2021). MSC: 11R04 11R33 12D05 12E05 PDF BibTeX XML Cite \textit{A. Bayad} and \textit{M. Seddik}, Appl. Anal. Discrete Math. 15, No. 1, 27--44 (2021; Zbl 07472237) Full Text: DOI OpenURL
Dilcher, Karl; Ericksen, Larry Polynomials whose coefficients are Stern numbers. (English) Zbl 07471004 J. Integer Seq. 24, No. 10, Article 21.10.3, 28 p. (2021). Reviewer: Maciej Ulas (Kraków) MSC: 11B83 30C15 12D05 PDF BibTeX XML Cite \textit{K. Dilcher} and \textit{L. Ericksen}, J. Integer Seq. 24, No. 10, Article 21.10.3, 28 p. (2021; Zbl 07471004) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{R. Zhang}, Arnold Math. J. 7, No. 3, 467--481 (2021; Zbl 1485.37092) Full Text: DOI arXiv OpenURL
Mañibo, Neil Renormalisation for inflation tilings. II: Connections to number theory. (English) Zbl 07442395 Wood, David R. (ed.) et al., 2019–20 MATRIX annals. Cham: Springer. MATRIX Book Ser. 4, 709-711 (2021). Reviewer: Anton Shutov (Vladimir) MSC: 52C23 37B52 11J82 15A15 11R09 42A38 11R06 PDF BibTeX XML Cite \textit{N. Mañibo}, MATRIX Book Ser. 4, 709--711 (2021; Zbl 07442395) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Harrington} and \textit{L. Jones}, Lith. Math. J. 61, No. 4, 483--490 (2021; Zbl 1483.11237) Full Text: DOI OpenURL
Jones, Lenny Sextic reciprocal monogenic dihedral polynomials. (English) Zbl 07438418 Ramanujan J. 56, No. 3, 1099-1110 (2021). Reviewer: Radoslav M. Dimitrić (New York) MSC: 11R04 11R09 12F05 05E05 11R21 PDF BibTeX XML Cite \textit{L. Jones}, Ramanujan J. 56, No. 3, 1099--1110 (2021; Zbl 07438418) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{D. T. Trang} et al., Acta Math. Vietnam. 46, No. 4, 821--838 (2021; Zbl 1482.14060) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{N. M. de Oliveira}, Commun. Algebra 49, No. 12, 5435--5448 (2021; Zbl 1485.13010) Full Text: DOI arXiv OpenURL
Grinblat, Andrey; Lopatkin, Viktor Bipartite graphs as polynomials and polynomials as bipartite graphs. (English) Zbl 1477.05091 J. Algebra Appl. 20, No. 5, Article ID 2150083, 23 p. (2021). MSC: 05C31 05C25 05C76 11R09 16Y60 68W10 13F20 13B25 PDF BibTeX XML Cite \textit{A. Grinblat} and \textit{V. Lopatkin}, J. Algebra Appl. 20, No. 5, Article ID 2150083, 23 p. (2021; Zbl 1477.05091) Full Text: DOI OpenURL
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 07418918 Finite Fields Appl. 76, Article ID 101902, 13 p. (2021). MSC: 12E05 12E12 12E10 PDF BibTeX XML Cite \textit{K. H. Kim} et al., Finite Fields Appl. 76, Article ID 101902, 13 p. (2021; Zbl 07418918) Full Text: DOI arXiv OpenURL
Dittmann, Philip; Leijnse, Dion A class of fields with a restricted model completeness property. (English) Zbl 07415221 J. Symb. Log. 86, No. 2, 701-708 (2021). MSC: 12L12 03C10 12E05 PDF BibTeX XML Cite \textit{P. Dittmann} and \textit{D. Leijnse}, J. Symb. Log. 86, No. 2, 701--708 (2021; Zbl 07415221) Full Text: DOI arXiv OpenURL
Pezda, Tadeusz An algorithm determining the set of lengths of polynomial cycles in \(Z_K^N\). (English) Zbl 1480.11136 Colloq. Math. 166, No. 1, 151-169 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R09 11C08 11S05 11S82 13F05 13F30 37P05 37P15 37P35 PDF BibTeX XML Cite \textit{T. Pezda}, Colloq. Math. 166, No. 1, 151--169 (2021; Zbl 1480.11136) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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) OpenURL
Jones, Lenny Infinite families of non-monogenic trinomials. (English) Zbl 07399096 Acta Sci. Math. 87, No. 1-2, 95-105 (2021). MSC: 11R04 11R09 12F05 PDF BibTeX XML Cite \textit{L. Jones}, Acta Sci. Math. 87, No. 1--2, 95--105 (2021; Zbl 07399096) Full Text: DOI OpenURL
Bamunoba, Alex Samuel; Bergström, Jonas A search for c-Wieferich primes. (English) Zbl 07383235 Int. J. Number Theory 17, No. 7, 1599-1616 (2021). Reviewer: Othman Echi (Dhahran) MSC: 11T55 11A41 12E05 PDF BibTeX XML Cite \textit{A. S. Bamunoba} and \textit{J. Bergström}, Int. J. Number Theory 17, No. 7, 1599--1616 (2021; Zbl 07383235) Full Text: DOI arXiv OpenURL
Looper, Nicole R. Dynamical uniform boundedness and the \(abc\)-conjecture. (English) Zbl 1468.14059 Invent. Math. 225, No. 1, 1-44 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 14H25 37C25 11C08 11R09 14E05 37F10 11D41 PDF BibTeX XML Cite \textit{N. R. Looper}, Invent. Math. 225, No. 1, 1--44 (2021; Zbl 1468.14059) Full Text: DOI arXiv OpenURL
Harrington, Joshua; Jones, Lenny Monogenic cyclotomic compositions. (English) Zbl 1477.11181 Kodai Math. J. 44, No. 1, 115-125 (2021). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 11R04 11R09 PDF BibTeX XML Cite \textit{J. Harrington} and \textit{L. Jones}, Kodai Math. J. 44, No. 1, 115--125 (2021; Zbl 1477.11181) Full Text: DOI arXiv OpenURL
Phetnun, Phitthayathon; Kanasri, Narakorn Rompurk; Singthongla, Patiwat On the irreducibility of polynomials associated with the complete residue systems in any imaginary quadratic fields. (English) Zbl 07368247 Int. J. Math. Math. Sci. 2021, Article ID 5564589, 17 p. (2021). MSC: 11R09 11R04 PDF BibTeX XML Cite \textit{P. Phetnun} et al., Int. J. Math. Math. Sci. 2021, Article ID 5564589, 17 p. (2021; Zbl 07368247) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. Abdollahi} and \textit{Z. Taheri}, Rend. Semin. Mat. Univ. Padova 145, 191--203 (2021; Zbl 1476.16022) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{H. Liu} and \textit{J. Liao}, J. Hubei Univ., Nat. Sci. 43, No. 1, 1--5 (2021; Zbl 1474.12002) Full Text: DOI OpenURL
Remete, L. A generalization of simplest number fields and their integral basis. (English) Zbl 1474.11075 Acta Math. Hung. 163, No. 2, 437-461 (2021). Reviewer: István Gaál (Debrecen) MSC: 11C08 11R04 11R09 11R21 11R32 PDF BibTeX XML Cite \textit{L. Remete}, Acta Math. Hung. 163, No. 2, 437--461 (2021; Zbl 1474.11075) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J. Singh} and \textit{S. Kumar}, Commun. Algebra 49, No. 6, 2722--2727 (2021; Zbl 1471.11117) Full Text: DOI arXiv OpenURL
Charkani, Mohamed E.; Sahmoudi, Mohammed; Soullami, Abderazak Tower index formula and monogenecity. (English) Zbl 1470.11268 Commun. Algebra 49, No. 6, 2469-2475 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 13F05 11R09 11Y40 PDF BibTeX XML Cite \textit{M. E. Charkani} et al., Commun. Algebra 49, No. 6, 2469--2475 (2021; Zbl 1470.11268) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Ounaies} et al., J. Number Theory 224, 165--190 (2021; Zbl 1467.11094) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{L. Jones}, Acta Arith. 197, No. 2, 213--219 (2021; Zbl 1465.11204) Full Text: DOI OpenURL
Banerjee, Pradipto; Bera, Ranjan Corrigendum to: “On a generalization of a conjecture of Grosswald”. (English) Zbl 1475.11206 J. Number Theory 222, 426-428 (2021). MSC: 11R32 33C45 PDF BibTeX XML Cite \textit{P. Banerjee} and \textit{R. Bera}, J. Number Theory 222, 426--428 (2021; Zbl 1475.11206) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{K. H. Kim} et al., Finite Fields Appl. 70, Article ID 101797, 17 p. (2021; Zbl 1476.12001) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{H. Hong} and \textit{J. Yang}, J. Symb. Comput. 104, 523--538 (2021; Zbl 1469.13056) Full Text: DOI arXiv OpenURL
Wu, Xiaoliang; Liu, Hang; Tang, Guoping Identities of Mahler measures of certain polynomials defining curves of arbitrary genus. (English) Zbl 1467.11095 J. Math. Anal. Appl. 494, No. 2, Article ID 124602, 12 p. (2021). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11R09 19F27 PDF BibTeX XML Cite \textit{X. Wu} et al., J. Math. Anal. Appl. 494, No. 2, Article ID 124602, 12 p. (2021; Zbl 1467.11095) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{K. G. Hare} and \textit{J. Jankauskas}, Math. Comput. 90, No. 328, 831--870 (2021; Zbl 1461.11141) Full Text: DOI arXiv OpenURL
Bevelacqua, Anthony J. Artin-Schreier binomials. (English) Zbl 1457.12003 Commun. Algebra 49, No. 1, 263-277 (2021). MSC: 12E05 12F05 12F10 PDF BibTeX XML Cite \textit{A. J. Bevelacqua}, Commun. Algebra 49, No. 1, 263--277 (2021; Zbl 1457.12003) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{C. Schwarzweller}, Formaliz. Math. 28, No. 2, 129--135 (2020; Zbl 07488865) Full Text: DOI OpenURL
Hooshmand, M. H. Some combinatorial relations and identities arising from polynomials with multiple roots. (English) Zbl 07442426 Ars Comb. 150, 121-126 (2020). MSC: 12E05 05A19 05E99 12E12 PDF BibTeX XML Cite \textit{M. H. Hooshmand}, Ars Comb. 150, 121--126 (2020; Zbl 07442426) OpenURL
Laudano, F.; Donatiello, A. Divisibility tests for polynomials. (English) Zbl 1475.97005 Int. J. Math. Educ. Sci. Technol. 51, No. 3, 431-438 (2020). MSC: 97F60 97H40 13P05 11R09 PDF BibTeX XML Cite \textit{F. Laudano} and \textit{A. Donatiello}, Int. J. Math. Educ. Sci. Technol. 51, No. 3, 431--438 (2020; Zbl 1475.97005) Full Text: DOI OpenURL
Koley, Biswajit; Reddy, A. Satyanarayana An irreducibility criterion for polynomials over integers. (English) Zbl 07391094 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 1, 83-89 (2020). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R09 12D05 12D10 PDF BibTeX XML Cite \textit{B. Koley} and \textit{A. S. Reddy}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 1, 83--89 (2020; Zbl 07391094) Full Text: arXiv OpenURL
Harrington, Joshua; Jones, Lenny Monogenic binomial compositions. (English) Zbl 1467.11099 Taiwanese J. Math. 24, No. 5, 1073-1090 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R09 11R04 11R06 PDF BibTeX XML Cite \textit{J. Harrington} and \textit{L. Jones}, Taiwanese J. Math. 24, No. 5, 1073--1090 (2020; Zbl 1467.11099) Full Text: DOI Euclid OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{S. Mesnager} et al., Finite Fields Appl. 68, Article ID 101746, 20 p. (2020; Zbl 1469.12004) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Bodin} et al., Trans. Am. Math. Soc. 373, No. 12, 8339--8364 (2020; Zbl 1469.12003) Full Text: DOI arXiv OpenURL
Nakato, Sarah Correction to: “Non-absolutely irreducible elements in the ring of integer-valued polynomials”. (English) Zbl 1465.13003 Commun. Algebra 48, No. 9, 4100-4101 (2020). MSC: 13A05 13B25 13F20 11R09 PDF BibTeX XML Cite \textit{S. Nakato}, Commun. Algebra 48, No. 9, 4100--4101 (2020; Zbl 1465.13003) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Mesnager} et al., Cryptogr. Commun. 12, No. 4, 809--817 (2020; Zbl 1446.11207) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{L. Jones}, Albanian J. Math. 14, 37--45 (2020; Zbl 1441.11268) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{A. Dubickas} and \textit{J. Jankauskas}, J. Théor. Nombres Bordx. 32, No. 1, 179--191 (2020; Zbl 1452.11129) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Najib}, Algebra Colloq. 27, No. 3, 477--482 (2020; Zbl 1458.12001) Full Text: DOI OpenURL
Lee, Jungin On a number of isogeny classes of simple abelian varieties over finite fields. (English) Zbl 1469.11182 Math. Z. 296, No. 1-2, 685-693 (2020). Reviewer: G. K. Sankaran (Bath) MSC: 11G10 11G25 11R09 14K02 14G20 PDF BibTeX XML Cite \textit{J. Lee}, Math. Z. 296, No. 1--2, 685--693 (2020; Zbl 1469.11182) Full Text: DOI arXiv OpenURL
Fili, Paul A.; Pottmeyer, Lukas; Zhang, Mingming On the behavior of Mahler’s measure under iteration. (English) Zbl 1450.11110 Monatsh. Math. 193, No. 1, 61-86 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11R04 11R09 11R16 PDF BibTeX XML Cite \textit{P. A. Fili} et al., Monatsh. Math. 193, No. 1, 61--86 (2020; Zbl 1450.11110) Full Text: DOI arXiv OpenURL
Banerjee, Pradipto; Bera, Ranjan On a generalization of a conjecture of Grosswald. (English) Zbl 1469.11438 J. Number Theory 216, 216-241 (2020); corrigendum ibid. 222, 426-428 (2021). MSC: 11R32 33C45 PDF BibTeX XML Cite \textit{P. Banerjee} and \textit{R. Bera}, J. Number Theory 216, 216--241 (2020; Zbl 1469.11438) Full Text: DOI OpenURL
Stankov, Dragan The number of unimodular roots of some reciprocal polynomials. (Sur le nombre de racines de module un de certains polynômes réciproques.) (English. French summary) Zbl 1469.11415 C. R., Math., Acad. Sci. Paris 358, No. 2, 159-168 (2020). MSC: 11R06 11R09 30C10 PDF BibTeX XML Cite \textit{D. Stankov}, C. R., Math., Acad. Sci. Paris 358, No. 2, 159--168 (2020; Zbl 1469.11415) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Dubickas}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 3049--3064 (2020; Zbl 1470.11045) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{P. Banerjee} and \textit{R. Bera}, Int. J. Number Theory 16, No. 5, 1031--1051 (2020; Zbl 1470.11271) Full Text: DOI OpenURL
Castillo, Marianela; Vidaux, Xavier; Videla, Carlos Julia Robinson numbers and arithmetical dynamic of quadratic polynomials. (English) Zbl 1458.11152 Indiana Univ. Math. J. 69, No. 3, 873-885 (2020). Reviewer: Lawrence C. Washington (College Park) MSC: 11R04 11R32 11R80 37P05 11R09 11R11 PDF BibTeX XML Cite \textit{M. Castillo} et al., Indiana Univ. Math. J. 69, No. 3, 873--885 (2020; Zbl 1458.11152) Full Text: DOI arXiv OpenURL
Dubickas, Artūras Small discs containing conjugate algebraic integers. (English) Zbl 1439.11274 Ann. Acad. Sci. Fenn., Math. 45, No. 1, 601-606 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R09 PDF BibTeX XML Cite \textit{A. Dubickas}, Ann. Acad. Sci. Fenn., Math. 45, No. 1, 601--606 (2020; Zbl 1439.11274) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. Tarizadeh}, J. Algebra Appl. 19, No. 1, Article ID 2050003, 13 p. (2020; Zbl 1440.13093) Full Text: DOI arXiv OpenURL
Dodig, Marija; Stošić, Marko Combinatorics of polynomial chains. (English) Zbl 1437.05021 Linear Algebra Appl. 589, 130-157 (2020). MSC: 05A20 15A83 12E05 PDF BibTeX XML Cite \textit{M. Dodig} and \textit{M. Stošić}, Linear Algebra Appl. 589, 130--157 (2020; Zbl 1437.05021) Full Text: DOI OpenURL
Singh, Gajendra An irreducibility test for polynomials whose coefficients are algebraic integers. (English) Zbl 1436.11126 Indian J. Pure Appl. Math. 51, No. 1, 171-177 (2020). MSC: 11R04 11R09 PDF BibTeX XML Cite \textit{G. Singh}, Indian J. Pure Appl. Math. 51, No. 1, 171--177 (2020; Zbl 1436.11126) Full Text: DOI OpenURL
Nakato, Sarah Non-absolutely irreducible elements in the ring of integer-valued polynomials. (English) Zbl 1437.13011 Commun. Algebra 48, No. 4, 1789-1802 (2020); correction ibid. 48, No. 9, 4100-4101 (2020). Reviewer: Cristodor-Paul Ionescu (Bucureşti) MSC: 13A05 13B25 13F20 11R09 PDF BibTeX XML Cite \textit{S. Nakato}, Commun. Algebra 48, No. 4, 1789--1802 (2020; Zbl 1437.13011) Full Text: DOI arXiv OpenURL
Schwarzweller, Christoph Field extensions and Kronecker’s construction. (English) Zbl 1433.68584 Formaliz. Math. 27, No. 3, 229-235 (2020). MSC: 68V20 12E05 12F05 PDF BibTeX XML Cite \textit{C. Schwarzweller}, Formaliz. Math. 27, No. 3, 229--235 (2020; Zbl 1433.68584) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{C. Schwarzweller}, Formaliz. Math. 27, No. 3, 223--228 (2020; Zbl 1433.68583) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. W. Bober} et al., J. Aust. Math. Soc. 108, No. 2, 245--261 (2020; Zbl 1482.11126) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J. König}, Isr. J. Math. 235, No. 1, 413--437 (2020; Zbl 1455.11151) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{N. Alon} et al., Isr. J. Math. 235, No. 1, 63--77 (2020; Zbl 1434.05128) Full Text: DOI arXiv OpenURL
Pinner, Christopher; Smyth, Christopher Integer group determinants for small groups. (English) Zbl 1451.11116 Ramanujan J. 51, No. 2, 421-453 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 15B36 11B83 11C20 11G50 11R09 11T22 43A40 PDF BibTeX XML Cite \textit{C. Pinner} and \textit{C. Smyth}, Ramanujan J. 51, No. 2, 421--453 (2020; Zbl 1451.11116) Full Text: DOI arXiv OpenURL
Jones, Lenny Monogenic polynomials with non-squarefree discriminant. (English) Zbl 1436.11125 Proc. Am. Math. Soc. 148, No. 4, 1527-1533 (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11C08 11R09 PDF BibTeX XML Cite \textit{L. Jones}, Proc. Am. Math. Soc. 148, No. 4, 1527--1533 (2020; Zbl 1436.11125) Full Text: DOI OpenURL
Ostafe, Alina; Young, Marley On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics. (English) Zbl 1460.37086 Trans. Am. Math. Soc. 373, No. 3, 2191-2206 (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 37P35 11R09 11R18 PDF BibTeX XML Cite \textit{A. Ostafe} and \textit{M. Young}, Trans. Am. Math. Soc. 373, No. 3, 2191--2206 (2020; Zbl 1460.37086) Full Text: DOI arXiv OpenURL
Klurman, Oleksiy; Munsch, Marc Polynomial products modulo primes and applications. (English) Zbl 1446.11030 Monatsh. Math. 191, No. 3, 577-593 (2020). Reviewer: Lajos Hajdu (Debrecen) MSC: 11B50 11D45 11R09 11R11 11R44 PDF BibTeX XML Cite \textit{O. Klurman} and \textit{M. Munsch}, Monatsh. Math. 191, No. 3, 577--593 (2020; Zbl 1446.11030) Full Text: DOI arXiv Link OpenURL
Brunault, François; Zudilin, Wadim Many variations of Mahler measures. A lasting symphony. (English) Zbl 1476.11002 Australian Mathematical Society Lecture Series 28. Cambridge: Cambridge University Press (ISBN 978-1-108-79445-9/pbk; 978-1-108-88555-3/ebook). xv, 167 p. (2020). Reviewer: Riccardo Pengo (Lyon) MSC: 11-01 11R09 11F67 11G50 PDF BibTeX XML Cite \textit{F. Brunault} and \textit{W. Zudilin}, Many variations of Mahler measures. A lasting symphony. Cambridge: Cambridge University Press (2020; Zbl 1476.11002) Full Text: DOI OpenURL
Ben Ammar, Mabrouk; Kthiri, Hassen Irreducibility criterion and 2-Pisot series in positive character. (English) Zbl 07476466 Publ. Inst. Math., Nouv. Sér. 105(119), 151-159 (2019). MSC: 11R04 11R06 11R09 PDF BibTeX XML Cite \textit{M. Ben Ammar} and \textit{H. Kthiri}, Publ. Inst. Math., Nouv. Sér. 105(119), 151--159 (2019; Zbl 07476466) Full Text: DOI OpenURL
Bayad, Abdelmejid; Seddik, Mohammed On cubic Thue equations and the indices of algebraic integers in cubic fields. (English) Zbl 07472218 Appl. Anal. Discrete Math. 13, No. 3, 774-786 (2019). MSC: 11R04 11R16 11R09 PDF BibTeX XML Cite \textit{A. Bayad} and \textit{M. Seddik}, Appl. Anal. Discrete Math. 13, No. 3, 774--786 (2019; Zbl 07472218) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{B. Farb} and \textit{J. Wolfson}, Enseign. Math. (2) 65, No. 3--4, 303--376 (2019; Zbl 1460.14104) Full Text: DOI arXiv OpenURL
Dubickas, Artūras On Newman polynomials without roots on the unit circle. (English) Zbl 1455.11045 Chebyshevskiĭ Sb. 20, No. 1(69), 197-203 (2019). Reviewer: Salah Najib (Khouribga) MSC: 11C08 30C10 11R09 PDF BibTeX XML Cite \textit{A. Dubickas}, Chebyshevskiĭ Sb. 20, No. 1(69), 197--203 (2019; Zbl 1455.11045) Full Text: DOI MNR OpenURL
Kanasri, N. R.; Singthongla, P.; Laohakosol, V. Irreducibility criteria for polynomials over some imaginary quadratic fields. (English) Zbl 1449.11105 Southeast Asian Bull. Math. 43, No. 3, 367-376 (2019). MSC: 11R09 11R04 PDF BibTeX XML Cite \textit{N. R. Kanasri} et al., Southeast Asian Bull. Math. 43, No. 3, 367--376 (2019; Zbl 1449.11105) OpenURL
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 PDF BibTeX XML Cite \textit{E. Breuillard} and \textit{P. P. Varjú}, Acta Math. 223, No. 2, 195--249 (2019; Zbl 1459.11079) Full Text: DOI arXiv OpenURL
Boyd, David W. Mahler’s measure for polynomials in several variables. (English) Zbl 1451.11005 Doc. Math. Extra Vol., Mahler Selecta, 45-56 (2019). MSC: 11-03 11R06 11R09 PDF BibTeX XML Cite \textit{D. W. Boyd}, Doc. Math. Extra Vol., 45--56 (2019; Zbl 1451.11005) Full Text: DOI OpenURL
Kwon, Doyong Irreducibility of polynomials with a large coefficient. (English) Zbl 1425.11171 Honam Math. J. 41, No. 3, 651-659 (2019). MSC: 11R09 30C10 PDF BibTeX XML Cite \textit{D. Kwon}, Honam Math. J. 41, No. 3, 651--659 (2019; Zbl 1425.11171) Full Text: DOI OpenURL
Schwarzweller, Christoph On monomorphisms and subfields. (English) Zbl 1432.68545 Formaliz. Math. 27, No. 2, 133-137 (2019). MSC: 68V20 12E05 12F05 PDF BibTeX XML Cite \textit{C. Schwarzweller}, Formaliz. Math. 27, No. 2, 133--137 (2019; Zbl 1432.68545) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{C. Schwarzweller}, Formaliz. Math. 27, No. 2, 93--100 (2019; Zbl 1432.68544) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{C. Ramya} and \textit{B. V. Raghavendra Rao}, Theor. Comput. Sci. 795, 165--182 (2019; Zbl 1437.65019) Full Text: DOI arXiv OpenURL