Doyle, John R.; Fili, Paul; Hyde, Trevor Dynatomic polynomials, necklace operators, and universal relations for dynamical units. (English) Zbl 1493.37116 New York J. Math. 28, 534-556 (2022). MSC: 37P05 11R27 37P35 PDF BibTeX XML Cite \textit{J. R. Doyle} et al., New York J. Math. 28, 534--556 (2022; Zbl 1493.37116) Full Text: arXiv Link
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
Huang, Keping Uniform bounds for periods of endomorphisms of varieties. (English) Zbl 1472.11197 J. Number Theory 221, 358-364 (2021). Reviewer: Rubén A. Hidalgo (Temuco) MSC: 11G30 37P05 14G40 PDF BibTeX XML Cite \textit{K. Huang}, J. Number Theory 221, 358--364 (2021; Zbl 1472.11197) Full Text: DOI arXiv
Canci, Jung Kyu; Troncoso, Sebastian; Vishkautsan, Solomon Scarcity of finite orbits for rational functions over a number field. (English) Zbl 1431.37075 Acta Arith. 190, No. 3, 221-237 (2019). Reviewer: Mahadi Ddamulira (Graz) MSC: 37P05 37P35 11D45 PDF BibTeX XML Cite \textit{J. K. Canci} et al., Acta Arith. 190, No. 3, 221--237 (2019; Zbl 1431.37075) Full Text: DOI arXiv
Doyle, John R. Dynamical modular curves for quadratic polynomial maps. (English) Zbl 1427.37071 Trans. Am. Math. Soc. 371, No. 8, 5655-5685 (2019). Reviewer: Gabriel D. Villa Salvador (México D. F.) MSC: 37P05 37P45 11R58 14H05 PDF BibTeX XML Cite \textit{J. R. Doyle}, Trans. Am. Math. Soc. 371, No. 8, 5655--5685 (2019; Zbl 1427.37071) Full Text: DOI arXiv
Canci, Jung Kyu; Vishkautsan, Solomon Scarcity of cycles for rational functions over a number field. (English) Zbl 1403.37100 Trans. Am. Math. Soc. 371, No. 1, 335-356 (2019). MSC: 37P05 37P35 PDF BibTeX XML Cite \textit{J. K. Canci} and \textit{S. Vishkautsan}, Trans. Am. Math. Soc. 371, No. 1, 335--356 (2019; Zbl 1403.37100) Full Text: DOI arXiv
Canci, Jung Kyu; Paladino, Laura Preperiodic points for rational functions defined over a global field in terms of good reduction. (English) Zbl 1392.37115 Proc. Am. Math. Soc. 144, No. 12, 5141-5158 (2016). MSC: 37P35 37P05 11D45 PDF BibTeX XML Cite \textit{J. K. Canci} and \textit{L. Paladino}, Proc. Am. Math. Soc. 144, No. 12, 5141--5158 (2016; Zbl 1392.37115) Full Text: DOI arXiv
Anashin, Vladimir S. Noncommutative algebraic dynamics: ergodic theory for profinite groups. (English. Russian original) Zbl 1201.37010 Proc. Steklov Inst. Math. 265, 30-58 (2009); translation from Tr. Mat. Inst. Steklova 265, 36-65 (2009). Reviewer: Yuefei Wang (Beijing) MSC: 37P20 11S82 20E18 22D40 37A45 PDF BibTeX XML Cite \textit{V. S. Anashin}, Proc. Steklov Inst. Math. 265, 30--58 (2009; Zbl 1201.37010); translation from Tr. Mat. Inst. Steklova 265, 36--65 (2009) Full Text: DOI
Canci, Jung Kyu Finite orbits for rational functions. (English) Zbl 1129.14025 Indag. Math., New Ser. 18, No. 2, 203-214 (2007). Reviewer: Władysław Narkiewicz (Wrocław) (MR2352676) MSC: 14E05 11G99 11R99 PDF BibTeX XML Cite \textit{J. K. Canci}, Indag. Math., New Ser. 18, No. 2, 203--214 (2007; Zbl 1129.14025) Full Text: DOI arXiv
Fouvry, Étienne; Klüners, Jürgen On the 4-rank of class groups of quadratic number fields. (English) Zbl 1126.11062 Invent. Math. 167, No. 3, 455-513 (2007). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R29 11R11 11R45 PDF BibTeX XML Cite \textit{É. Fouvry} and \textit{J. Klüners}, Invent. Math. 167, No. 3, 455--513 (2007; Zbl 1126.11062) Full Text: DOI
Marszałek, Roman; Narkiewicz, Władyslaw Finite polynomial orbits in quadratic rings. (English) Zbl 1122.11069 Ramanujan J. 12, No. 1, 91-130 (2006). Reviewer: Franco Vivaldi (London) MSC: 11R09 11R11 37F10 PDF BibTeX XML Cite \textit{R. Marszałek} and \textit{W. Narkiewicz}, Ramanujan J. 12, No. 1, 91--130 (2006; Zbl 1122.11069) Full Text: DOI
Divišová, Zuzana On cycles of polynomials with integral rational coefficients. (English) Zbl 1028.11064 Math. Slovaca 52, No. 5, 537-540 (2002). MSC: 11R04 11C08 PDF BibTeX XML Cite \textit{Z. Divišová}, Math. Slovaca 52, No. 5, 537--540 (2002; Zbl 1028.11064) Full Text: EuDML
Spearman, Blair K.; Williams, Kenneth S. Pure quintic fields defined by trinomials. (English) Zbl 0970.11040 Rocky Mt. J. Math. 30, No. 1, 371-391 (2000). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R21 11R32 11C08 11R09 PDF BibTeX XML Cite \textit{B. K. Spearman} and \textit{K. S. Williams}, Rocky Mt. J. Math. 30, No. 1, 371--391 (2000; Zbl 0970.11040) Full Text: DOI Link
Acciaro, Vincenzo; Fieker, Claus Finding normal integral bases of cyclic number fields of prime degree. (English) Zbl 0977.11047 J. Symb. Comput. 30, No. 2, 129-136 (2000). Reviewer: I.Gaál (Debrecen) MSC: 11R04 11Y40 11-04 PDF BibTeX XML Cite \textit{V. Acciaro} and \textit{C. Fieker}, J. Symb. Comput. 30, No. 2, 129--136 (2000; Zbl 0977.11047) Full Text: DOI
Narkiewicz, W.; Pezda, T. Finite polynomial orbits in finitely generated domains. (English) Zbl 0897.13024 Monatsh. Math. 124, No. 4, 309-316 (1997). Reviewer: J.-H.Evertse (Leiden) MSC: 13F20 13B25 11S05 11R09 13E15 13G05 PDF BibTeX XML Cite \textit{W. Narkiewicz} and \textit{T. Pezda}, Monatsh. Math. 124, No. 4, 309--316 (1997; Zbl 0897.13024) Full Text: DOI EuDML
Call, Gregory S.; Goldstine, Susan W. Canonical heights on projective space. (English) Zbl 0895.14006 J. Number Theory 63, No. 2, 211-243 (1997). Reviewer: P.Vojta (Berkeley) MSC: 14G40 14G25 PDF BibTeX XML Cite \textit{G. S. Call} and \textit{S. W. Goldstine}, J. Number Theory 63, No. 2, 211--243 (1997; Zbl 0895.14006) Full Text: DOI
Silverman, Joseph H. The field of definition for dynamical systems on \(\mathbb{P}^ 1\). (English) Zbl 0849.11090 Compos. Math. 98, No. 3, 269-304 (1995). Reviewer: F.Vivaldi (London) MSC: 11R99 37-XX 14E05 PDF BibTeX XML Cite \textit{J. H. Silverman}, Compos. Math. 98, No. 3, 269--304 (1995; Zbl 0849.11090) Full Text: Numdam EuDML
Halter-Koch, F.; Narkiewicz, W. Polynomial cycles in finitely generated domains. (English) Zbl 0840.13003 Monatsh. Math. 119, No. 4, 275-279 (1995). Reviewer: K.A.Brown (Glasgow) MSC: 13B25 13E15 13G05 13F20 14E05 PDF BibTeX XML Cite \textit{F. Halter-Koch} and \textit{W. Narkiewicz}, Monatsh. Math. 119, No. 4, 275--279 (1995; Zbl 0840.13003) Full Text: DOI EuDML
Pezda, T. Cycles of polynomial mappings in several variables. (English) Zbl 0804.11059 Manuscr. Math. 83, No. 3-4, 279-289 (1994). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 37P05 37P20 11S05 37P35 13F30 14E05 PDF BibTeX XML Cite \textit{T. Pezda}, Manuscr. Math. 83, No. 3--4, 279--289 (1994; Zbl 0804.11059) Full Text: DOI EuDML
Chen, Nan Xian; Chen, Zhao Dou; Shen, Ya Nan; Liu, Shou Jun; Li, Ming \(3\)D inverse lattice problems and Möbius inversion. (English) Zbl 0959.11500 Phys. Lett., A 184, No. 4-5, 347-351 (1994). MSC: 11Z05 11A25 82B20 PDF BibTeX XML Cite \textit{N. X. Chen} et al., Phys. Lett., A 184, No. 4--5, 347--351 (1994; Zbl 0959.11500) Full Text: DOI
Häfner, Frank Certain orthogonal and symplectic groups as Galois groups over \(\mathbb{Q}\). (Einige orthogonale und symplektische Gruppen als Galoisgruppen über \(\mathbb{Q}\).) (German) Zbl 0774.11066 Math. Ann. 292, No. 4, 587-618 (1992). Reviewer: C.U.Jensen (København) MSC: 11R32 12F12 20D08 PDF BibTeX XML Cite \textit{F. Häfner}, Math. Ann. 292, No. 4, 587--618 (1992; Zbl 0774.11066) Full Text: DOI EuDML