Jones, Lenny Some new infinite families of monogenic polynomials with non-squarefree discriminant. (English) Zbl 07324314 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 07324314) Full Text: DOI
Banerjee, Pradipto; Bera, Ranjan Corrigendum to: “On a generalization of a conjecture of Grosswald”. (English) Zbl 07318746 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 07318746) Full Text: DOI
Kim, Kwang Ho; Choe, Junyop; Mesnager, Sihem Solving \(X^{q+1}+X+a=0\) over finite fields. (English) Zbl 07313153 Finite Fields Appl. 70, Article ID 101797, 17 p. (2021). 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 07313153) Full Text: DOI
Hong, Hoon; Yang, Jing A condition for multiplicity structure of univariate polynomials. (English) Zbl 07312492 J. Symb. Comput. 104, 523-538 (2021). MSC: 68W30 12D10 12E05 13-04 13P99 PDF BibTeX XML Cite \textit{H. Hong} and \textit{J. Yang}, J. Symb. Comput. 104, 523--538 (2021; Zbl 07312492) Full Text: DOI
Chattopadhyay, Arkadev; Grenet, Bruno; Koiran, Pascal; Portier, Natacha; Strozecki, Yann Computing the multilinear factors of lacunary polynomials without heights. (English) Zbl 07312477 J. Symb. Comput. 104, 183-206 (2021). MSC: 68W30 11Y16 68Q25 11R09 PDF BibTeX XML Cite \textit{A. Chattopadhyay} et al., J. Symb. Comput. 104, 183--206 (2021; Zbl 07312477) Full Text: DOI
Wu, Xiaoliang; Liu, Hang; Tang, Guoping Identities of Mahler measures of certain polynomials defining curves of arbitrary genus. (English) Zbl 07310645 J. Math. Anal. Appl. 494, No. 2, Article ID 124602, 12 p. (2021). 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 07310645) Full Text: DOI
Zhao, Xiaopeng; Cao, Zhenfu; Dong, Xiaolei; Shao, Jun Extended Galbraith’s test on the anonymity of IBE schemes from higher residuosity. (English) Zbl 07308509 Des. Codes Cryptography 89, No. 2, 241-253 (2021). MSC: 11T71 11R04 11R09 11R58 PDF BibTeX XML Cite \textit{X. Zhao} et al., Des. Codes Cryptography 89, No. 2, 241--253 (2021; Zbl 07308509) Full Text: DOI
Hare, Kevin G.; Jankauskas, Jonas On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk. (English) Zbl 07298457 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 07298457) Full Text: DOI
Hou, Xiang-dong; Sze, Christopher On a type of permutation rational functions over finite fields. (English) Zbl 07312734 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 07312734) Full Text: DOI
Mesnager, Sihem; Kim, Kwang Ho; Choe, Jong Hyok; Lee, Dok Nam Solving some affine equations over finite fields. (English) Zbl 07312728 Finite Fields Appl. 68, Article ID 101746, 20 p. (2020). MSC: 11D04 12E05 12E12 PDF BibTeX XML Cite \textit{S. Mesnager} et al., Finite Fields Appl. 68, Article ID 101746, 20 p. (2020; Zbl 07312728) Full Text: DOI
Bevelacqua, Anthony J. Artin-Schreier binomials. (English) Zbl 07291061 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 (2020; Zbl 07291061) Full Text: DOI
Hiraoka, Yasuaki; Ochiai, Hiroyuki; Shirai, Tomoyuki Zeta functions of periodic cubical lattices and cyclotomic-like polynomials. (English) Zbl 07283183 Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-088-4/hbk). Advanced Studies in Pure Mathematics 84, 93-121 (2020). MSC: 11R09 11S40 05E45 05C50 58C40 PDF BibTeX XML Cite \textit{Y. Hiraoka} et al., Adv. Stud. Pure Math. 84, 93--121 (2020; Zbl 07283183) Full Text: DOI Euclid
Nakato, Sarah Correction to: “Non-absolutely irreducible elements in the ring of integer-valued polynomials”. (English) Zbl 07271683 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 07271683) Full Text: DOI
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
Jones, Lenny Generating infinite families of monogenic polynomials using a new discriminant formula. (English) Zbl 1441.11268 Albanian J. Math. 14, No. 1, 37-45 (2020). MSC: 11R04 11R09 12F05 PDF BibTeX XML Cite \textit{L. Jones}, Albanian J. Math. 14, No. 1, 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 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
Najib, Salah The spectrum of a rational function. (English) Zbl 07245617 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 07245617) Full Text: DOI
Lee, Jungin On a number of isogeny classes of simple abelian varieties over finite fields. (English) Zbl 07242461 Math. Z. 296, No. 1-2, 685-693 (2020). MSC: 11G10 11G25 14K02 11G25 14G20 11R09 PDF BibTeX XML Cite \textit{J. Lee}, Math. Z. 296, No. 1--2, 685--693 (2020; Zbl 07242461) Full Text: DOI
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
Banerjee, Pradipto; Bera, Ranjan On a generalization of a conjecture of Grosswald. (English) Zbl 07226989 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 07226989) Full Text: DOI
Laishram, Shanta; Nair, Saranya G.; Shorey, Tarlok N. Irreducibility of extensions of Laguerre polynomials. (English) Zbl 07225506 Funct. Approximatio, Comment. Math. 62, No. 2, 143-164 (2020). MSC: 11A41 11B25 11N05 11N13 11C08 11Z05 PDF BibTeX XML Cite \textit{S. Laishram} et al., Funct. Approximatio, Comment. Math. 62, No. 2, 143--164 (2020; Zbl 07225506) Full Text: DOI Euclid
Dubickas, Artūras On the distance between two algebraic numbers. (English) Zbl 07209887 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 07209887) Full Text: DOI
Banerjee, Pradipto; Bera, Ranjan An irreducibility question concerning modifications of Laguerre polynomials. (English) Zbl 07205415 Int. J. Number Theory 16, No. 5, 1031-1051 (2020). MSC: 11C08 12E05 33C45 PDF BibTeX XML Cite \textit{P. Banerjee} and \textit{R. Bera}, Int. J. Number Theory 16, No. 5, 1031--1051 (2020; Zbl 07205415) Full Text: DOI
Castillo, Marianela; Vidaux, Xavier; Videla, Carlos Julia Robinson numbers and arithmetical dynamic of quadratic polynomials. (English) Zbl 07199849 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 07199849) Full Text: DOI
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
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
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
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
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
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
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
Bober, J. W.; Fretwell, D.; Martin, G.; Wooley, T. D. Smooth values of polynomials. (English) Zbl 07177251 J. Aust. Math. Soc. 108, No. 2, 245-261 (2020). 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 07177251) Full Text: DOI
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
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
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
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
Ostafe, Alina; Young, Marley On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics. (English) Zbl 07174551 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 07174551) Full Text: DOI
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
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
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)
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
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
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
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
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
Jones, Lenny A brief note on some infinite families of monogenic polynomials. (English) Zbl 07104865 Bull. Aust. Math. Soc. 100, No. 2, 239-244 (2019). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R09 12F05 PDF BibTeX XML Cite \textit{L. Jones}, Bull. Aust. Math. Soc. 100, No. 2, 239--244 (2019; Zbl 07104865) Full Text: DOI
Charkani, Mohamed E.; Deajim, Abdulaziz Polynomial index in discrete valuation rings. (English) Zbl 1438.11134 Stud. Sci. Math. Hung. 56, No. 2, 260-266 (2019). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R09 13F05 13F30 13C10 PDF BibTeX XML Cite \textit{M. E. Charkani} and \textit{A. Deajim}, Stud. Sci. Math. Hung. 56, No. 2, 260--266 (2019; Zbl 1438.11134) Full Text: DOI
Goksel, Vefa Markov processes and some PCF quadratic polynomials. (English) Zbl 07096773 Res. Number Theory 5, No. 3, Paper No. 29, 50 p. (2019). MSC: 11R32 12E05 20E08 37P15 PDF BibTeX XML Cite \textit{V. Goksel}, Res. Number Theory 5, No. 3, Paper No. 29, 50 p. (2019; Zbl 07096773) Full Text: DOI arXiv
Filaseta, Michael A class of irreducible polynomials associated with prime divisors of values of cyclotomic polynomials. (English) Zbl 07096330 Mathematika 65, No. 4, 1033-1037 (2019). Reviewer: Salah Najib (Khouribga) MSC: 11R09 11C08 11B83 11N05 12E05 PDF BibTeX XML Cite \textit{M. Filaseta}, Mathematika 65, No. 4, 1033--1037 (2019; Zbl 07096330) Full Text: DOI
García-Máynez, Adalberto; Gary, Margarita; Acosta, Adolfo Pimienta The generalized Fermat conjecture. (English) Zbl 07093108 Math. Slovaca 69, No. 2, 321-326 (2019). MSC: 11R04 11R09 11R11 11R58 PDF BibTeX XML Cite \textit{A. García-Máynez} et al., Math. Slovaca 69, No. 2, 321--326 (2019; Zbl 07093108) Full Text: DOI
Trigub, Roald M. Chebyshev polynomials and integer coefficients. (English. Russian original) Zbl 1439.11092 Math. Notes 105, No. 2, 291-300 (2019); translation from Mat. Zametki 105, No. 2, 302-312 (2019). MSC: 11C08 30C10 41A10 PDF BibTeX XML Cite \textit{R. M. Trigub}, Math. Notes 105, No. 2, 291--300 (2019; Zbl 1439.11092); translation from Mat. Zametki 105, No. 2, 302--312 (2019) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{J. Bewersdorff}, Algebra für Einsteiger. Von der Gleichungsauflösung zur Galois-Theorie. 6th edition. Wiesbaden: Springer Spektrum (2019; Zbl 1411.12002) Full Text: DOI
Hare, Kevin G.; Mossinghoff, Michael J. Most Reinhardt polygons are sporadic. (English) Zbl 1412.52011 Geom. Dedicata 198, 1-18 (2019). MSC: 52B60 11R09 52A10 52B05 PDF BibTeX XML Cite \textit{K. G. Hare} and \textit{M. J. Mossinghoff}, Geom. Dedicata 198, 1--18 (2019; Zbl 1412.52011) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{M. I. Falcão} et al., Linear Multilinear Algebra 67, No. 6, 1231--1249 (2019; Zbl 1411.15013) Full Text: DOI arXiv
de Bondt, Michiel Quadratic polynomial maps with Jacobian rank two. (English) Zbl 1416.14003 Linear Algebra Appl. 565, 267-286 (2019). MSC: 14R10 12E05 12F20 14R05 PDF BibTeX XML Cite \textit{M. de Bondt}, Linear Algebra Appl. 565, 267--286 (2019; Zbl 1416.14003) Full Text: DOI arXiv
Coulter, Robert S. Coordinatising planes of prime power order using finite fields. (English) Zbl 07039556 J. Aust. Math. Soc. 106, No. 2, 184-199 (2019). MSC: 51E15 12E05 05B25 PDF BibTeX XML Cite \textit{R. S. Coulter}, J. Aust. Math. Soc. 106, No. 2, 184--199 (2019; Zbl 07039556) Full Text: DOI
Juul, J. Iterates of generic polynomials and generic rational functions. (English) Zbl 1442.37120 Trans. Am. Math. Soc. 371, No. 2, 809-831 (2019). MSC: 37P05 11G35 14G25 11R45 12F10 12E05 PDF BibTeX XML Cite \textit{J. Juul}, Trans. Am. Math. Soc. 371, No. 2, 809--831 (2019; Zbl 1442.37120) Full Text: DOI
Foster, Joseph C.; Juillerat, Jacob; Southwick, Jeremiah The irreducibility of polynomials arising from the study of Fourier coefficients of powers of the Dedekind eta function. (English) Zbl 07293435 J. Comb. Number Theory 10, No. 3, 161-167 (2018). MSC: 11F20 11F30 11R09 PDF BibTeX XML Cite \textit{J. C. Foster} et al., J. Comb. Number Theory 10, No. 3, 161--167 (2018; Zbl 07293435)
Nagarajan, D.; Rameshkumar, A. Mixed graphs over the ring of integers in cubic field. (English) Zbl 1427.11108 J. Indian Acad. Math. 40, No. 2, 155-171 (2018). MSC: 11R04 11R09 11R16 PDF BibTeX XML Cite \textit{D. Nagarajan} and \textit{A. Rameshkumar}, J. Indian Acad. Math. 40, No. 2, 155--171 (2018; Zbl 1427.11108)
Vasylyshyn, T. V.; Strutinskii, M. M. Algebras of symmetric \({}^*{}\)- polynomials on the space \(\mathbb C^2\). (Ukrainian, English) Zbl 1438.12002 Mat. Metody Fiz.-Mekh. Polya 61, No. 2, 38-48 (2018). Reviewer: R. V. Mullajonov (Andizhan) MSC: 12E05 12E10 30G99 PDF BibTeX XML Cite \textit{T. V. Vasylyshyn} and \textit{M. M. Strutinskii}, Mat. Metody Fiz.-Mekh. Polya 61, No. 2, 38--48 (2018; Zbl 1438.12002)
Schleischitz, Johannes Diophantine approximation in prescribed degree. (English) Zbl 1444.11152 Mosc. Math. J. 18, No. 3, 491-516 (2018). MSC: 11J13 11J82 11R09 PDF BibTeX XML Cite \textit{J. Schleischitz}, Mosc. Math. J. 18, No. 3, 491--516 (2018; Zbl 1444.11152) Full Text: Link arXiv
Akman, Fusun Polynomials in base \(x\) and the prime-irreducible affinity. (English) Zbl 07063855 Missouri J. Math. Sci. 30, No. 2, 197-217 (2018). Reviewer: Mehdi Hassani (Zanjan) MSC: 11A41 11N32 11A63 11K16 11Y05 PDF BibTeX XML Cite \textit{F. Akman}, Missouri J. Math. Sci. 30, No. 2, 197--217 (2018; Zbl 07063855) Full Text: Euclid
Shparlinski, Igor E. On the Győry-Sárközy-Stewart conjecture in function fields. (English) Zbl 07031698 Czech. Math. J. 68, No. 4, 1067-1077 (2018). MSC: 11R09 11S05 12E05 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Czech. Math. J. 68, No. 4, 1067--1077 (2018; Zbl 07031698) Full Text: DOI
Protasov, Vladimir Yu.; Wang, Yang Newman cyclotomic polynomials, refinable splines and the Euler binary partition function. (English. Russian original) Zbl 1406.11023 Sb. Math. 209, No. 12, 1783-1802 (2018); translation from Mat. Sb. 209, No. 12, 117-138 (2018). MSC: 11C08 11R09 11P81 30C10 PDF BibTeX XML Cite \textit{V. Yu. Protasov} and \textit{Y. Wang}, Sb. Math. 209, No. 12, 1783--1802 (2018; Zbl 1406.11023); translation from Mat. Sb. 209, No. 12, 117--138 (2018) Full Text: DOI
Boerkoel, Ton; Pinner, Christopher Minimal group determinants and the Lind-Lehmer problem for dihedral groups. (English) Zbl 1434.11212 Acta Arith. 186, No. 4, 377-395 (2018). MSC: 11R06 15B36 11B83 11R09 11T22 20C05 PDF BibTeX XML Cite \textit{T. Boerkoel} and \textit{C. Pinner}, Acta Arith. 186, No. 4, 377--395 (2018; Zbl 1434.11212) Full Text: DOI arXiv
Smith, Hanson Two families of monogenic \(S_4\) quartic number fields. (English) Zbl 1417.11150 Acta Arith. 186, No. 3, 257-271 (2018). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R09 11R16 PDF BibTeX XML Cite \textit{H. Smith}, Acta Arith. 186, No. 3, 257--271 (2018; Zbl 1417.11150) Full Text: DOI arXiv
Rajkumar, Krishnan; Reddy, Arikatla Satyanarayana; Semwal, Devendra Prasad Fixed divisor of a multivariate polynomial and generalized factorials in several variables. (English) Zbl 1405.13039 J. Korean Math. Soc. 55, No. 6, 1305-1320 (2018). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 13F20 05A10 11B65 11C08 11R09 13F05 PDF BibTeX XML Cite \textit{K. Rajkumar} et al., J. Korean Math. Soc. 55, No. 6, 1305--1320 (2018; Zbl 1405.13039) Full Text: Link
Nair, Saranya G.; Shorey, T. N. Irreducibility of generalized Laguerre polynomials \(L_n^{(1/2+u)}(x^2)\) with \(-18 \leq u \leq -2\). (English) Zbl 1434.11214 Acta Arith. 184, No. 4, 363-383 (2018). MSC: 11R09 11N05 11N13 33C45 PDF BibTeX XML Cite \textit{S. G. Nair} and \textit{T. N. Shorey}, Acta Arith. 184, No. 4, 363--383 (2018; Zbl 1434.11214) Full Text: DOI
Ballester-Bolinches, Adolfo; Esteban-Romero, Ramón; Pérez-Calabuig, Vicente A note on the rational canonical form of an endomorphism of a vector space of finite dimension. (English) Zbl 1402.15008 Oper. Matrices 12, No. 3, 823-836 (2018). Reviewer: Tin Yau Tam (Reno) MSC: 15A21 12E05 12Y05 PDF BibTeX XML Cite \textit{A. Ballester-Bolinches} et al., Oper. Matrices 12, No. 3, 823--836 (2018; Zbl 1402.15008) Full Text: DOI
Bary-Soroker, Lior; Legrand, François On the number of ramified primes in specializations of function fields over \(\mathbb Q\). (English) Zbl 1443.11240 New York J. Math. 24, 1004-1019 (2018). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 11K65 11N37 11N56 11R44 12E05 12E25 12F12 PDF BibTeX XML Cite \textit{L. Bary-Soroker} and \textit{F. Legrand}, New York J. Math. 24, 1004--1019 (2018; Zbl 1443.11240) Full Text: Link arXiv
Hou, Xiang-dong Applications of the Hasse-Weil bound to permutation polynomials. (English) Zbl 06964000 Finite Fields Appl. 54, 113-132 (2018). MSC: 11T06 11T55 14H05 PDF BibTeX XML Cite \textit{X.-d. Hou}, Finite Fields Appl. 54, 113--132 (2018; Zbl 06964000) Full Text: DOI
Bzdęga, Bartłomiej; Herrera-Poyatos, Andrés; Moree, Pieter Cyclotomic polynomials at roots of unity. (English) Zbl 1435.11060 Acta Arith. 184, No. 3, 215-230 (2018). Reviewer: Gennady Bachman (Las Vegas) MSC: 11C08 11R09 PDF BibTeX XML Cite \textit{B. Bzdęga} et al., Acta Arith. 184, No. 3, 215--230 (2018; Zbl 1435.11060) Full Text: DOI
Kiselev, D. D. Galois theory, the classification of finite simple groups and a dense winding of a torus. (English. Russian original) Zbl 1425.11170 Sb. Math. 209, No. 6, 840-849 (2018); translation from Mat. Sb. 209, No. 6, 65-74 (2018). MSC: 11R09 11R32 49K15 PDF BibTeX XML Cite \textit{D. D. Kiselev}, Sb. Math. 209, No. 6, 840--849 (2018; Zbl 1425.11170); translation from Mat. Sb. 209, No. 6, 65--74 (2018) Full Text: DOI
Livingston, Charles Signature functions of knots. (English) Zbl 1404.57027 Proc. Am. Math. Soc. 146, No. 10, 4513-4520 (2018). Reviewer: Dieter Erle (Dortmund) MSC: 57M27 57M25 57Q60 57N70 12E05 11E39 PDF BibTeX XML Cite \textit{C. Livingston}, Proc. Am. Math. Soc. 146, No. 10, 4513--4520 (2018; Zbl 1404.57027) Full Text: DOI arXiv
van der Hoeven, Joris; Lecerf, Grégoire Modular composition via factorization. (English) Zbl 1430.12003 J. Complexity 48, 36-68 (2018). MSC: 12-08 11T06 11Y16 12E05 68Q25 PDF BibTeX XML Cite \textit{J. van der Hoeven} and \textit{G. Lecerf}, J. Complexity 48, 36--68 (2018; Zbl 1430.12003) Full Text: DOI
Jakhar, Anuj; Khanduja, Sudesh K.; Sangwan, Neeraj On factorization of polynomials in Henselian valued fields. (English) Zbl 1430.12011 Commun. Algebra 46, No. 7, 3205-3221 (2018). Reviewer: Kevin Keating (Gainesville) MSC: 12J25 12J10 12E05 11S05 PDF BibTeX XML Cite \textit{A. Jakhar} et al., Commun. Algebra 46, No. 7, 3205--3221 (2018; Zbl 1430.12011) Full Text: DOI
Hajja, Mowaffaq; Hayajneh, Mostafa; Nguyen, Bach; Shaqaqha, Shadi Irreducibility of the Cayley-Menger determinant and of a class of related polynomials. (English) Zbl 1400.12002 Beitr. Algebra Geom. 59, No. 2, 327-342 (2018). MSC: 12E05 12E10 12D05 PDF BibTeX XML Cite \textit{M. Hajja} et al., Beitr. Algebra Geom. 59, No. 2, 327--342 (2018; Zbl 1400.12002) Full Text: DOI arXiv
Jones, Lenny; Phillips, Tristan Infinite families of monogenic trinomials and their Galois groups. (English) Zbl 1423.11181 Int. J. Math. 29, No. 5, Article ID 1850039, 11 p. (2018). MSC: 11R04 11R32 11R09 12F12 PDF BibTeX XML Cite \textit{L. Jones} and \textit{T. Phillips}, Int. J. Math. 29, No. 5, Article ID 1850039, 11 p. (2018; Zbl 1423.11181) Full Text: DOI
de Bondt, Michiel Rational maps \(H\) for which \(K(th)\) has transcendence degree 2 over \(K\). (English) Zbl 1417.12001 J. Pure Appl. Algebra 222, No. 11, 3595-3620 (2018). MSC: 12E05 12F20 13B22 13N15 PDF BibTeX XML Cite \textit{M. de Bondt}, J. Pure Appl. Algebra 222, No. 11, 3595--3620 (2018; Zbl 1417.12001) Full Text: DOI arXiv
Aliabadi, Mohsen A note on the fundamental theorem of algebra. (English) Zbl 1386.12003 Bull. Aust. Math. Soc. 97, No. 3, 382-385 (2018). MSC: 12E05 12D10 PDF BibTeX XML Cite \textit{M. Aliabadi}, Bull. Aust. Math. Soc. 97, No. 3, 382--385 (2018; Zbl 1386.12003) Full Text: DOI
Krumm, David Galois groups in a family of dynatomic polynomials. (English) Zbl 06866578 J. Number Theory 187, 469-511 (2018). MSC: 11R32 11R09 PDF BibTeX XML Cite \textit{D. Krumm}, J. Number Theory 187, 469--511 (2018; Zbl 06866578) Full Text: DOI arXiv
Drungilas, P.; Jankauskas, J.; Šiurys, J. On Littlewood and Newman polynomial multiples of Borwein polynomials. (English) Zbl 1390.11122 Math. Comput. 87, No. 311, 1523-1541 (2018). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R09 11Y16 12D05 11R06 PDF BibTeX XML Cite \textit{P. Drungilas} et al., Math. Comput. 87, No. 311, 1523--1541 (2018; Zbl 1390.11122) Full Text: DOI
Tan, Colin; To, Wing-Keung Characterization of polynomials whose large powers have all positive coefficients. (English) Zbl 1379.26016 Proc. Am. Math. Soc. 146, No. 2, 589-600 (2018). Reviewer: Sergei V. Rogosin (Minsk) MSC: 26C05 12E05 32T15 PDF BibTeX XML Cite \textit{C. Tan} and \textit{W.-K. To}, Proc. Am. Math. Soc. 146, No. 2, 589--600 (2018; Zbl 1379.26016) Full Text: DOI arXiv
Schinzel, Andrzej On some consequences of conjecture H. (English) Zbl 1439.11247 Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the sixth international conference, Palanga, Lithuania, September 11–17, 2016. Vilnius: Vilnius University Publishing House. 179-183 (2017). MSC: 11N32 11R09 11R04 PDF BibTeX XML Cite \textit{A. Schinzel}, in: Analytic and probabilistic methods in number theory. Proceedings of the sixth international conference, Palanga, Lithuania, September 11--17, 2016. Vilnius: Vilnius University Publishing House. 179--183 (2017; Zbl 1439.11247)
Dubickas, Artūras; Sha, Min; Shparlinski, Igor E. On distances in lattices from algebraic number fields. (English) Zbl 1433.11083 Mosc. Math. J. 17, No. 2, 239-268 (2017). MSC: 11H06 11R04 11R06 11R09 PDF BibTeX XML Cite \textit{A. Dubickas} et al., Mosc. Math. J. 17, No. 2, 239--268 (2017; Zbl 1433.11083) Full Text: Link
Baker, Zackery Integral bases for triquadratic number fields. (English) Zbl 1398.11131 Undergrad. Math J. 18, No. 2, 99-109 (2017). MSC: 11R04 11R09 11R21 PDF BibTeX XML Cite \textit{Z. Baker}, Undergrad. Math J. 18, No. 2, 99--109 (2017; Zbl 1398.11131) Full Text: Link
Singthongla, Patiwat; Kanasri, Narakorn Rompurk; Laohakosol, Vichian Prime elements and irreducible polynomials over some imaginary quadratic fields. (English) Zbl 1410.11118 Kyungpook Math. J. 57, No. 4, 581-600 (2017). MSC: 11R04 11R09 PDF BibTeX XML Cite \textit{P. Singthongla} et al., Kyungpook Math. J. 57, No. 4, 581--600 (2017; Zbl 1410.11118) Full Text: DOI
Amiot, Emmanuel Decompositions of nil sums of roots of unity. An adaptation of “Sommes nulles de racines de l’unité”. (English) Zbl 1395.00021 J. Math. Music 11, No. 2-3, 67-75 (2017). MSC: 00A65 11R32 PDF BibTeX XML Cite \textit{E. Amiot}, J. Math. Music 11, No. 2--3, 67--75 (2017; Zbl 1395.00021) Full Text: DOI
Hyde, Trevor; Lagarias, Jeffrey C. Polynomial splitting measures and cohomology of the pure braid group. (English) Zbl 06855337 Arnold Math. J. 3, No. 2, 219-249 (2017). MSC: 20F36 11R09 11R32 11R34 20J06 20G10 12E20 12E25 PDF BibTeX XML Cite \textit{T. Hyde} and \textit{J. C. Lagarias}, Arnold Math. J. 3, No. 2, 219--249 (2017; Zbl 06855337) Full Text: DOI
Cho, Ilwoo Matrices induced by arithmetic functions acting on certain Krein spaces. (English) Zbl 1380.05197 Spec. Matrices 5, 258-289 (2017). MSC: 05E15 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 47L15 47L30 47L55 PDF BibTeX XML Cite \textit{I. Cho}, Spec. Matrices 5, 258--289 (2017; Zbl 1380.05197) Full Text: DOI
Jones, Rafe; Levy, Alon Eventually stable rational functions. (English) Zbl 1391.37072 Int. J. Number Theory 13, No. 9, 2299-2318 (2017). MSC: 37P05 37P15 11R32 12E05 37P25 11S82 PDF BibTeX XML Cite \textit{R. Jones} and \textit{A. Levy}, Int. J. Number Theory 13, No. 9, 2299--2318 (2017; Zbl 1391.37072) Full Text: DOI arXiv
Yoshiara, Satoshi Equivalences among plateaued APN functions. (English) Zbl 1409.11129 Des. Codes Cryptography 85, No. 2, 205-217 (2017). MSC: 11T06 12E05 05B25 94A60 PDF BibTeX XML Cite \textit{S. Yoshiara}, Des. Codes Cryptography 85, No. 2, 205--217 (2017; Zbl 1409.11129) Full Text: DOI
Korniłowicz, Artur; Pąk, Karol Vieta’s formula about the sum of roots of polynomials. (English) Zbl 1377.12001 Formaliz. Math. 25, No. 2, 87-92 (2017). MSC: 12E05 03B35 PDF BibTeX XML Cite \textit{A. Korniłowicz} and \textit{K. Pąk}, Formaliz. Math. 25, No. 2, 87--92 (2017; Zbl 1377.12001) Full Text: DOI
Calegari, Frank; Huang, Zili Counting Perron numbers by absolute value. (English) Zbl 1427.11109 J. Lond. Math. Soc., II. Ser. 96, No. 1, 181-200 (2017). MSC: 11R06 11R09 11C08 30C10 PDF BibTeX XML Cite \textit{F. Calegari} and \textit{Z. Huang}, J. Lond. Math. Soc., II. Ser. 96, No. 1, 181--200 (2017; Zbl 1427.11109) Full Text: DOI arXiv
Klaška, Jiří; Skula, Ladislav Law of inertia for the factorization of cubic polynomials – the imaginary case. (English) Zbl 1404.11136 Util. Math. 103, 99-109 (2017). MSC: 11T06 11D25 12E05 PDF BibTeX XML Cite \textit{J. Klaška} and \textit{L. Skula}, Util. Math. 103, 99--109 (2017; Zbl 1404.11136)
Férard, Eric On the irreducibility of the hyperplane sections of Fermat varieties in \(\mathbb {P}^{3}\) in characteristic 2. II. (English) Zbl 1369.12001 Cryptogr. Commun. 9, No. 6, 749-767 (2017). MSC: 12E05 14Q10 11T71 PDF BibTeX XML Cite \textit{E. Férard}, Cryptogr. Commun. 9, No. 6, 749--767 (2017; Zbl 1369.12001) Full Text: DOI
Liu, Ming-Sheng; Tang, Yan Cubic formulas for computing the zeros of certain quaternionic polynomial. (English) Zbl 1368.12001 Math. Methods Appl. Sci. 40, No. 12, 4280-4294 (2017). MSC: 12E05 11R52 12E12 30G35 PDF BibTeX XML Cite \textit{M.-S. Liu} and \textit{Y. Tang}, Math. Methods Appl. Sci. 40, No. 12, 4280--4294 (2017; Zbl 1368.12001) Full Text: DOI
Klurman, Oleksiy; Munsch, Marc Distribution of factorials modulo \(p\). (English. French summary) Zbl 1429.11037 J. Théor. Nombres Bordx. 29, No. 1, 169-177 (2017). MSC: 11B50 11B83 11R09 11R45 PDF BibTeX XML Cite \textit{O. Klurman} and \textit{M. Munsch}, J. Théor. Nombres Bordx. 29, No. 1, 169--177 (2017; Zbl 1429.11037) Full Text: DOI arXiv
Alden Gassert, T. A note on the monogeneity of power maps. (English) Zbl 1392.11082 Albanian J. Math. 11, 3-12 (2017). MSC: 11R09 11R04 PDF BibTeX XML Cite \textit{T. Alden Gassert}, Albanian J. Math. 11, 3--12 (2017; Zbl 1392.11082) Full Text: Link