Sow, El Hadji Algebraic points of low degrees on a quotient of Fermat curves. (English) Zbl 07940139 JP J. Algebra Number Theory Appl. 63, No. 5, 447-458 (2024). MSC: 14H50 14H40 11D68 × Cite Format Result Cite Review PDF Full Text: DOI
Tomanov, George Characterization of norm forms via their values at integer points. (English) Zbl 07938124 J. Mod. Dyn. 20, 663-678 (2024). MSC: 22F30 22E40 20G45 11J68 11H46 37A17 37A44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sarr, Pape Modou; Fall, Moussa Algebraic points of any degree on the affine curve \(y^2=3x(x^4+3)\). (English) Zbl 1546.14060 Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the third NLAGA-BIRS symposium, AIMS-Mbour, Senegal, August 21–27, 2023. Cham: Birkhäuser. Trends Math., 359-366 (2024). MSC: 14H50 14G05 14H25 11D68 12F05 × Cite Format Result Cite Review PDF Full Text: DOI
Akkarapakam, Sushmanth J.; Morton, Patrick Periodic points of algebraic functions related to a continued fraction of Ramanujan. (English) Zbl 07883460 New York J. Math. 30, 783-827 (2024). MSC: 11G15 11F11 11R37 37P05 14H05 37F05 11R37 11D88 11R29 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Phillips, Tristan Points of bounded height on projective spaces over global function fields via geometry of numbers. (English) Zbl 07841538 Finite Fields Appl. 96, Article ID 102417, 9 p. (2024). Reviewer: Ratko Darda (Basel) MSC: 11G50 11G25 11G45 14G05 11D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Phillips, Tristan Counting Drinfeld modules with prescribed local conditions. (English) Zbl 07818535 Res. Number Theory 10, No. 1, Paper No. 21, 22 p. (2024). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11G18 11G50 11D45 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Panraksa, Chatchawan; Samart, Detchat; Sriwongsa, Songpon A dynamical system proof of Niven’s theorem and its extensions. (English) Zbl 1536.37091 Bull. Aust. Math. Soc. 109, No. 1, 138-151 (2024). MSC: 37P05 37P35 33B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sarr, Pape Modou; Sow, El Hadji; Fall, Moussa Algebraic points of any degree on the affine curve \(\mathcal{C}:y^2=x^5-243\). (English) Zbl 1549.14020 J. Contemp. Appl. Math. 14, No. 1, 46-53 (2024). MSC: 14H50 14H40 11D68 12F05 × Cite Format Result Cite Review PDF Full Text: DOI
Sow, El Hadji; Fall, Moussa; Sall, Oumar Algebraic points on the genus 2 curve \(\mathcal{C}:y^2=5(1-x^5)\). (English) Zbl 1538.14011 J. Contemp. Appl. Math. 14, No. 1, 28-32 (2024). MSC: 14H50 14H40 11D68 × Cite Format Result Cite Review PDF
Tsushima, Takahiro On cohomology of generalized Suzuki curves and exponential sums. (English) Zbl 07784986 Finite Fields Appl. 93, Article ID 102309, 30 p. (2024). MSC: 11G20 11L03 14H37 14F20 11M38 × Cite Format Result Cite Review PDF Full Text: DOI
Frühbis-Krüger, Anne; Zach, Matthias Determinantal singularities. (English) Zbl 07916315 Cisneros-Molina, José Luis (ed.) et al., Handbook of geometry and topology of singularities IV. Cham: Springer. 45-159 (2023). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14B05 32S30 14M12 14-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Diallo, Mohamadou Mor Diogou; Coly, Cherif Mamina; Sall, Oumar Algebraic points of the family of superelliptic curves of Tomasz Jdrzȩjak for a given degree. (English) Zbl 1549.14028 JP J. Geom. Topol. 29, No. 2, 167-172 (2023). MSC: 14L40 11D68 14C20 × Cite Format Result Cite Review PDF Full Text: DOI
Kellock, Lilybelle Cowland; Dokchitser, Vladimir Root numbers and parity phenomena. (English) Zbl 1539.11083 Bull. Lond. Math. Soc. 55, No. 6, 2557-2597 (2023). Reviewer: Alejandro José Giangreco Maidana (Asunción) MSC: 11G05 11G10 11G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Poëls, Anthony; Roy, Damien Parametric geometry of numbers over a number field and extension of scalars. (Géométrie paramétrique des nombres sur un corps de nombres et extension des scalaires.) (English. French summary) Zbl 1545.11066 Bull. Soc. Math. Fr. 151, No. 2, 257-303 (2023). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11J13 11H06 11J82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sow, El Hadji; Fall, Moussa; Sall, Oumar Algebraic points of given degree on the affine curve \(C: y^2 = x^5 + 16\). (English) Zbl 1538.14010 JP J. Algebra Number Theory Appl. 60, No. 2, 59-68 (2023). MSC: 14H50 14H40 11D68 12F05 × Cite Format Result Cite Review PDF Full Text: DOI
Sow, El Hadji; Fall, Moussa; Camara, Moustapha Algebraic points on the curves \(y^2 = ax(x^4 + 3)\). (English) Zbl 1538.14009 JP J. Geom. Topol. 29, No. 1, 29-34 (2023). MSC: 14H50 14H40 11D68 × Cite Format Result Cite Review PDF Full Text: DOI
El Hadji, Sow Algebraic points of degree at most 4 on the affine curve \(y^2+y=x^5\). (English) Zbl 1524.14065 Int. J. Math. Comput. Sci. 18, No. 4, 613-617 (2023). MSC: 14H40 11D68 12F05 × Cite Format Result Cite Review PDF Full Text: Link
Shute, Alec On the leading constant in the Manin-type conjecture for Campana points. (English) Zbl 1517.11072 Acta Arith. 204, No. 4, 317-346 (2022). MSC: 11G50 11D45 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laga, Jef The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3. (English) Zbl 1518.11052 Algebra Number Theory 16, No. 5, 1161-1212 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 11E72 11N45 14G05 14G25 14H40 14H45 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Richard, Rodolphe Manin-Mumford by Weyl’s criterion. (Manin-Mumford par le critère de Weyl.) (French. English summary) Zbl 1499.11222 J. Number Theory 239, 137-150 (2022). MSC: 11G10 14K15 14G05 14G25 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Cheol-Min; Park, Sun Woo Minimal degrees of algebraic numbers with respect to primitive elements. (English) Zbl 1494.11085 Int. J. Number Theory 18, No. 3, 485-500 (2022). Reviewer: Radoslav M. Dimitrić (New York) MSC: 11R04 11R09 14G05 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Poëls, Anthony; Roy, Damien Rational approximation to real points on quadratic hypersurfaces. (English) Zbl 1479.11120 J. Lond. Math. Soc., II. Ser. 103, No. 2, 672-696 (2021). Reviewer: Michel Waldschmidt (Paris) MSC: 11J13 11J82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazur, Barry; Rubin, Karl Big fields that are not large. (English) Zbl 1468.11218 Proc. Am. Math. Soc., Ser. B 7, 159-169 (2020). Reviewer: Mariana Coutinho (São Carlos) MSC: 11R04 11U05 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Browning, Tim D.; Sawin, Will Free rational points on smooth hypersurfaces. (English) Zbl 1462.11083 Comment. Math. Helv. 95, No. 4, 635-659 (2020). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11P55 11D45 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Browning, T. D.; Heath-Brown, D. R. Density of rational points on a quadric bundle in \(\mathbb{P}^3 \times \mathbb{P}^3 \). (English) Zbl 1477.11058 Duke Math. J. 169, No. 16, 3099-3165 (2020). Reviewer: Emiliano Ambrosi (Strasbourg) MSC: 11D45 11G50 11P55 14G05 14G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Bright, Martin; Loughran, Daniel Brauer-Manin obstruction for Erdős-Straus surfaces. (English) Zbl 1459.14011 Bull. Lond. Math. Soc. 52, No. 4, 746-761 (2020). MSC: 14G12 11D25 11D68 14F22 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berthé, Valérie; Frougny, Christiane; Rigo, Michel; Sakarovitch, Jacques The carry propagation of the successor function. (English) Zbl 1484.11012 Adv. Appl. Math. 120, Article ID 102062, 54 p. (2020). Reviewer: Derong Kong (Chongqing) MSC: 11A63 11K16 37A46 37B10 68Q70 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dubickas, Artūras Maximal values of symmetric functions in distances between points. (English) Zbl 1445.11121 Math. Inequal. Appl. 23, No. 1, 329-339 (2020). Reviewer: Victor V. Pambuccian (Glendale) MSC: 11R06 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Sirvent, Víctor F. A note on the periodic structure of transversal maps on the torus and products of spheres. (English) Zbl 1444.37019 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 45, 10 p. (2020). Reviewer: Weslem Liberato Silva (Ilhéus) MSC: 37C25 37C05 37C55 37C30 37E15 × Cite Format Result Cite Review PDF Full Text: DOI
Bhargava, Manjul; Klagsbrun, Zev; Oliver, Robert J. Lemke; Shnidman, Ari \(3\)-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field. (English) Zbl 1442.14084 Duke Math. J. 168, No. 15, 2951-2989 (2019). Reviewer: G. K. Sankaran (Bath) MSC: 14G05 11G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Bianchi, Fabrizio Parabolic implosion for endomorphisms of \(\mathbb C^2\). (English) Zbl 1435.32020 J. Eur. Math. Soc. (JEMS) 21, No. 12, 3709-3737 (2019). MSC: 32H50 37F10 37F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Fall, Moussa; Sall, Oumar Algebraic points of small degrees on the curve given by affine equation \(y^2=x^5+1\). (Points algébriques de petits degrés sur la courbe d’équation affine \(y^{2}=x^{5}+1\).) (French. English summary) Zbl 1405.11036 Afr. Mat. 29, No. 7-8, 1151-1157 (2018). MSC: 11D68 11G30 14G05 14H25 14H40 14H50 × Cite Format Result Cite Review PDF Full Text: DOI
Browning, T. D.; Heath-Brown, D. R. Counting rational points on quadric surfaces. (English) Zbl 1444.11142 Discrete Anal. 2018, Paper No. 15, 29 p. (2018). Reviewer: José María Tornero (Sevilla) MSC: 11G35 14G05 14G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahn, Taeyong Local regularity of super-potentials and equidistribution of positive closed currents on \({\mathbb {P}}^k\). (English) Zbl 1414.32018 Math. Ann. 371, No. 3-4, 1163-1190 (2018). Reviewer: Dan Coman (Syracuse) MSC: 32H50 32U40 32U25 32H02 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bilu, Yuri; Gillibert, Jean Chevalley-Weil theorem and subgroups of class groups. (English) Zbl 1411.11108 Isr. J. Math. 226, No. 2, 927-956 (2018). Reviewer: Ayberk Zeytin (Istanbul) MSC: 11R29 14H30 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Gunther, Joseph; Hindes, Wade Integral points of bounded degree on the projective line and in dynamical orbits. (English) Zbl 1437.11049 Proc. Am. Math. Soc. 145, No. 12, 5087-5096 (2017). MSC: 11D45 37P15 11G50 11R04 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen, Dong Quan Ngoc Certain K3 surfaces parametrized by the Fibonacci sequence violate the Hasse principle. (English) Zbl 1386.11080 Rocky Mt. J. Math. 47, No. 5, 1693-1710 (2017). Reviewer: Damaris Schindler (Utrecht) MSC: 11G35 11G05 11G25 14F22 14G05 14J28 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Zeytin, Ayberk Class number problems and Lang conjectures. (English) Zbl 1426.11128 Mourtada, Hussein (ed.) et al., Algebraic geometry and number theory. Summer school, Galatasaray University, Istanbul, Turkey, June 2–13, 2014. Basel: Birkhäuser/Springer. Prog. Math. 321, 211-232 (2017). MSC: 11R29 11E16 11E41 × Cite Format Result Cite Review PDF Full Text: DOI
Wagener, Benjamin Proof of Serge Lang’s Heights Conjecture and an almost optimal Bound for the Torsion of Elliptic Curves. arXiv:1701.07433 Preprint, arXiv:1701.07433 [math.NT] (2017). MSC: 11G50 11D75 11D99 11G05 11G07 11G99 11H99 11J25 11J68 11J81 11J82 11J86 11J99 14G05 14G22 14G25 14G40 14G99 14H52 14H99 14J20 14K15 × Cite Format Result Cite Full Text: arXiv OA License
Verger-Gaugry, Jean-Louis On the conjecture of Lehmer, limit Mahler measure of trinomials and asymptotic expansions. (English) Zbl 1455.11143 Unif. Distrib. Theory 11, No. 1, 79-139 (2016). MSC: 11R06 11R09 11K16 11K38 30B10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Fornæss, John Erik; Wold, Erlend Fornæss Non-autonomous basins with uniform bounds are elliptic. (English) Zbl 1355.32012 Proc. Am. Math. Soc. 144, No. 11, 4709-4714 (2016). Reviewer: Eberhard Oeljeklaus (Bremen) MSC: 32E30 32H50 37Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Blanc, Jérémy; Cantat, Serge Dynamical degrees of birational transformations of projective surfaces. (English) Zbl 1394.14011 J. Am. Math. Soc. 29, No. 2, 415-471 (2016). Reviewer: Enrica Floris (Futuroscope Chasseneuil) MSC: 14E07 37F10 32H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lim, Dongkyu Fixed points and dynamics on generating function of Genocchi numbers. (English) Zbl 1327.30027 J. Nonlinear Sci. Appl. 9, No. 3, 933-939 (2016). MSC: 30D05 37C25 37F10 11B68 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bedford, Eric Invertible dynamics on blow-ups of \(\mathbb P^k\). (English) Zbl 1326.32003 Bracci, Filippo (ed.) et al., Complex analysis and geometry. KSCV 10. Proceddings of the 10th symposium, Gyeongju, Korea, August 7–11, 2014. Tokyo: Springer (ISBN 978-4-431-55743-2/hbk; 978-4-431-55744-9/ebook). Springer Proceedings in Mathematics & Statistics 144, 67-88 (2015). MSC: 32-02 32H50 37F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mignot, Teddy Points of bounded height on smooth hypersurfaces of the triprojective space. (Points de hauteur bornée sur les hypersurfaces lisses de l’espace triprojectif.) (French. English summary) Zbl 1365.11032 Int. J. Number Theory 11, No. 3, 945-995 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D45 14G05 11P55 11D72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pritsker, Igor E. Asymptotic distribution and symmetric means of algebraic numbers. (English) Zbl 1321.11036 Acta Arith. 168, No. 2, 121-138 (2015). Reviewer: Artūras Dubickas (Vilnius) MSC: 11C08 11R09 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oguiso, Keiji; Truong, Tuyen Trung Salem numbers in dynamics on Kähler threefolds and complex tori. (English) Zbl 1380.37094 Math. Z. 278, No. 1-2, 93-117 (2014). MSC: 37F10 32H50 11K16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ange, Thomas The Schanuel theorem in adelic Hermitian bundles. (Le théorème de Schanuel dans les fibrés adéliques hermitiens.) (French. French summary) Zbl 1309.11054 Manuscr. Math. 144, No. 3-4, 565-608 (2014). Reviewer: David McKinnon (Waterloo) MSC: 11G50 11R04 11H06 × Cite Format Result Cite Review PDF Full Text: DOI
Alekseyev, Max A.; Tengely, Szabolcs On integral points on biquadratic curves and near-multiples of squares in Lucas sequences. (English) Zbl 1358.11141 J. Integer Seq. 17, No. 6, Article 14.6.6, 15 p. (2014). MSC: 11Y50 11D25 11B39 14G05 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Tian, Ye Congruent numbers and Heegner points. (English) Zbl 1303.11067 Camb. J. Math. 2, No. 1, 117-161 (2014). Reviewer: Maciej Ulas (Kraków) MSC: 11G05 11D25 11G40 × Cite Format Result Cite Review PDF Full Text: DOI
Waldschmidt, Michel From highly composite numbers to transcendental number theory. (English) Zbl 1368.11067 Berndt, Bruce C. (ed.) et al., The legacy of Srinivasa Ramanujan. Proceedings of the international conference in celebration of the 125th anniversary of Ramanujan’s birth, University of Delhi, Delhi, India, December 17–22, 2012. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-13-7/hbk). Ramanujan Mathematical Society Lecture Notes Series 20, 387-397 (2013). MSC: 11J81 11A25 11J85 11R27 × Cite Format Result Cite Review PDF
Blanc, Jérémy Dynamical degrees of (pseudo)-automorphisms fixing cubic hypersurfaces. (English) Zbl 1301.37033 Indiana Univ. Math. J. 62, No. 4, 1143-1164 (2013). Reviewer: Paul Reschke (Ann Arbor) MSC: 37F99 32H50 14J50 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cabrera, Carlos; Kawahira, Tomoki On the natural extensions of dynamics with a Siegel or Cremer point. (English) Zbl 1291.37055 J. Difference Equ. Appl. 19, No. 5, 701-711 (2013). MSC: 37F10 37F50 37F25 37F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chan, Tsz Ho Twin cubefull numbers. (English) Zbl 1290.11129 Int. J. Number Theory 9, No. 1, 17-26 (2013). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11N25 11D25 11D41 11D45 × Cite Format Result Cite Review PDF Full Text: DOI
Câmara, Leonardo; Scárdua, Bruno A Fatou type theorem for complex map germs. (English) Zbl 1271.32034 Conform. Geom. Dyn. 16, 256-268 (2012). MSC: 32S65 37F99 32H50 37F75 37F10 × Cite Format Result Cite Review PDF Full Text: DOI
Van Valckenborgh, Karl Squareful numbers in hyperplanes. (English) Zbl 1321.11038 Algebra Number Theory 6, No. 5, 1019-1041 (2012). MSC: 11D45 14G05 11D72 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Browning, T. D.; Van Valckenborgh, K. Sums of three squareful numbers. (English) Zbl 1327.11022 Exp. Math. 21, No. 2, 204-211 (2012). Reviewer: B. Z. Moroz (Bonn) MSC: 11D45 11P05 14G05 11Y60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mason, A. W.; Sury, B. Subgroups of algebraic groups which are clopen in the \(S\)-congruence topology. (English) Zbl 1248.20051 J. Group Theory 15, No. 1, 47-55 (2012). Reviewer: L. N. Vaserstein (University Park) MSC: 20G30 22E40 11F06 20H05 × Cite Format Result Cite Review PDF Full Text: DOI
Ulas, Maciej A note on Sierpiński’s problem related to triangular numbers. (English) Zbl 1214.11039 Colloq. Math. 117, No. 2, 165-173 (2009). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 11D25 11D72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bedford, Eric; Kim, Kyounghee Dynamics of rational surface automorphisms: linear fractional recurrences. (English) Zbl 1185.37128 J. Geom. Anal. 19, No. 3, 553-583 (2009). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 37F99 32M99 32H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schütt, Matthias Arithmetic of \(K3\) surfaces. (English) Zbl 1172.14024 Jahresber. Dtsch. Math.-Ver. 111, No. 1, 23-41 (2009). Reviewer: Noriko Yui (Kingston) MSC: 14J28 11F11 11G15 11G25 14G05 14G10 × Cite Format Result Cite Review PDF Full Text: arXiv
Vojta, Paul Transplanting Faltings’ garden. arXiv:0901.2106 Preprint, arXiv:0901.2106 [math.NT] (2009). MSC: 11J68 11G35 11J97 14G05 × Cite Format Result Cite Full Text: arXiv OA License
Khrennikov, A. Yu.; Svensson, P.-A. Attracting fixed points of polynomial dynamical systems in fields of \(p\)-adic numbers. (English. Russian original) Zbl 1168.37011 Izv. Math. 71, No. 4, 753-764 (2007); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 71, No. 4, 103-114 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37F10 11S85 37E99 × Cite Format Result Cite Review PDF Full Text: DOI
Ingram, Patrick Diophantine analysis and torsion on elliptic curves. (English) Zbl 1117.11033 Proc. Lond. Math. Soc. (3) 94, No. 1, 137-154 (2007). Reviewer: Sergey Stepanov (Moskva) MSC: 11G05 11J68 × Cite Format Result Cite Review PDF Full Text: DOI
Browning, T. D.; Heath-Brown, D. R.; Salberger, P. Counting rational points on algebraic varieties. (English) Zbl 1098.14013 Duke Math. J. 132, No. 3, 545-578 (2006). Reviewer: B. Z. Moroz (Bonn) MSC: 14G05 11G35 11D45 11D68 11G50 11G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aguayo, J.; Goméz, J.; Saavedra, M.; Wallace, M. Perturbation of a \(p\)-adic dynamical system in two variables. (English) Zbl 1090.37016 Diarra, B. (ed.) et al., Ultrametric functional analysis. Proceedings of the eighth international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3684-6/pbk). Contemp. Math. 384, 39-51 (2005). MSC: 37P20 46S10 11S82 37C25 37C70 37F10 × Cite Format Result Cite Review PDF
Coman, Dan; Guedj, Vincent Invariant currents and dynamical Lelong numbers. (English) Zbl 1080.37050 J. Geom. Anal. 14, No. 2, 199-213 (2004). Reviewer: Alexandr Yu. Rashkovsky (Stavanger) MSC: 37F10 32H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Griffin, Cornelius Associating curves of low genus to infinite nilpotent groups via the zeta function. (English) Zbl 1073.20030 Isr. J. Math. 139, 67-92 (2004). Reviewer: Alexander Ivanovich Budkin (Barnaul) MSC: 20F18 11M41 14H52 20F40 14G05 20E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazur, B. Perturbations, deformations, and variations (and “near-misses”) in geometry, physics, and number theory. (English) Zbl 1057.11033 Bull. Am. Math. Soc., New Ser. 41, No. 3, 307-336 (2004). Reviewer: Noriko Yui (Kingston) MSC: 11G18 11-02 11F23 11J68 14G05 53D55 58K40 × Cite Format Result Cite Review PDF Full Text: DOI
Rochon, Dominic On a generalized Fatou-Julia theorem. (English) Zbl 1041.37023 Fractals 11, No. 3, 213-219 (2003). MSC: 37F50 32H50 37F10 39B12 × Cite Format Result Cite Review PDF Full Text: DOI
Ciesielski, K.; Pawlikowski, J. Crowded and selective ultrafilters under the Covering Property Axiom. (English) Zbl 1038.03050 J. Appl. Anal. 9, No. 1, 19-55 (2003). Reviewer: A. A. Ivanov (St. Peterburg) MSC: 03E35 26A03 03E17 × Cite Format Result Cite Review PDF Full Text: DOI Link
Graczyk, Jacek; Świątek, Grzegorz Siegel disks with critical points in their boundaries. (English) Zbl 1037.37022 Duke Math. J. 119, No. 1, 189-196 (2003). Reviewer: Rainer Brück (Dortmund) MSC: 37F10 37E45 37C25 30C10 30D05 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Derong; Zhang, Xianke Explicit classification for torsion subgroups of rational points of elliptic curves. (English) Zbl 1053.11051 Acta Math. Sin., Engl. Ser. 18, No. 3, 539-548 (2002). Reviewer: Horst G. Zimmer (Saarbrücken) MSC: 11G05 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Celletti, Alessandra; Falcolini, Corrado Singularities of periodic orbits near invariant curves. (English) Zbl 1019.37011 Physica D 170, No. 2, 87-102 (2002). MSC: 37C27 37E20 37M25 65P99 37J10 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Noguchi, Junjiro; Winkelmann, Jörg Holomorphic curves and integral points off divisors. (English) Zbl 1011.32012 Math. Z. 239, No. 3, 593-610 (2002). Reviewer: Paul Vojta (Berkeley) MSC: 32H30 11J68 14G05 11J97 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kisin, M.; Lehrer, G. I. Equivariant Poincaré polynomials and counting points over finite fields. (English) Zbl 1039.14005 J. Algebra 247, No. 2, 435-451 (2002). Reviewer: Christophe Ritzenthaler (Leiden) MSC: 14F43 14F30 14G15 14G05 14L30 14F25 13D40 × Cite Format Result Cite Review PDF Full Text: DOI
Bley, W.; Burns, D. Étale cohomology and a generalisation of Hilbert’s Theorem 132. (English) Zbl 1002.11081 Math. Z. 239, No. 1, 1-25 (2002). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 11R18 × Cite Format Result Cite Review PDF Full Text: DOI
Pethő, A.; Schmitt, S. Elements with bounded height in number fields. (English) Zbl 0980.11053 Period. Math. Hung. 43, No. 1-2, 31-41 (2001). MSC: 11R33 11G50 14G05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Niederreiter, Harald; Xing, Chaoping Rational points on curves over finite fields. Theory and Applications. (English) Zbl 0971.11033 London Mathematical Society Lecture Note Series. 285. Cambridge: Cambridge University Press. x, 245 p. (2001). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11G20 11-02 11R58 11R37 14G05 94B27 11K45 14H25 14G15 94A60 × Cite Format Result Cite Review PDF
Akbary, Amir; Murty, V. Kumar Descending rational points on elliptic curves to smaller fields. (English) Zbl 0972.11056 Can. J. Math. 53, No. 3, 449-469 (2001). Reviewer: Cornelius Greither (Neubiberg) MSC: 11G15 11G40 11R32 11R33 × Cite Format Result Cite Review PDF Full Text: DOI
Murabayashi, Naoki; Umegaki, Atsuki Determination of all \(\mathbb{Q}\)-rational CM-points in the moduli space of principally polarized abelian surfaces. (English) Zbl 0974.14015 J. Algebra 235, No. 1, 267-274 (2001). Reviewer: Herbert Lange (Erlangen) MSC: 14G05 14K10 11R29 14K15 × Cite Format Result Cite Review PDF Full Text: DOI
Lauter, Kristin [Serre, J.-P.] Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields. Appendice by J. -P. Serre. (English. French appendix) Zbl 0982.14015 J. Algebr. Geom. 10, No. 1, 19-36 (2001). Reviewer: Miriam Abdon (Rio de Janeiro) MSC: 14G05 14G10 14G15 11R04 14H25 × Cite Format Result Cite Review PDF
Auer, Roland Ray class fields of global function fields with many rational places. (English) Zbl 0963.11067 Acta Arith. 95, No. 2, 97-122 (2000). Reviewer: Fernando Torres (Campinas) MSC: 11R58 11R37 14H05 11G20 14G15 11Y40 11R29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Beardon, Alan F. Iteration of rational functions. Complex analytic dynamical systems. Paperback ed. (English) Zbl 1120.30300 Graduate Texts in Mathematics 132. New York, NY: Springer (ISBN 0-387-95151-2/pbk). xiii, 280 p. (2000). MSC: 30-02 30D05 30-01 37Fxx 26C15 × Cite Format Result Cite Review PDF
Huxley, M. N. The rational points close to a curve. II. (English) Zbl 0978.11029 Acta Arith. 93, No. 3, 201-219 (2000). Reviewer: S.W.Graham (Mount Pleasant) MSC: 11J25 11P21 11K38 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Hindry, Marc; Silverman, Joseph H. Diophantine geometry. An introduction. (English) Zbl 0948.11023 Graduate Texts in Mathematics. 201. New York, NY: Springer. xiii, 558 p. (2000). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11Gxx 14-01 11-01 14Gxx 11G10 11J68 11G30 11G50 14G05 14G25 14G40 14K15 × Cite Format Result Cite Review PDF
Burns, David [Bley, Werner] On the equivariant structure of ideals in abelian extensions of local fields (with an appendix by W. Bley). (English) Zbl 0998.11069 Comment. Math. Helv. 75, No. 1, 1-44 (2000). Reviewer: Cornelius Greither (Neubiberg) MSC: 11S23 11R33 × Cite Format Result Cite Review PDF Full Text: DOI
Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. (English) Zbl 0953.11003 Translations of Mathematical Monographs. Iwanami Series in Modern Mathematics. 186. Providence, RI: American Mathematical Society (AMS). xv, 154 p. (2000). Reviewer: A.J.van der Poorten (North Ryde) MSC: 11-01 11G05 11M06 11R11 11D41 11R29 11E25 × Cite Format Result Cite Review PDF
Konyagin, S. V. Estimates of the least prime factor of a binomial coefficient. (English) Zbl 0972.11010 Mathematika 46, No. 1, 41-55 (1999). Reviewer: Olivier Ramaré (Lille) MSC: 11B65 11P21 11H99 11K99 × Cite Format Result Cite Review PDF Full Text: DOI
Geck, Meinolf; Malle, Gunter On special pieces in the unipotent variety. (English) Zbl 0962.20033 Exp. Math. 8, No. 3, 281-290 (1999). MSC: 20G05 20F55 20G40 20C40 × Cite Format Result Cite Review PDF Full Text: DOI Euclid EuDML
Bombieri, E.; Masser, D.; Zannier, U. Intersecting a curve with algebraic subgroups of multiplicative groups. (English) Zbl 0938.11031 Int. Math. Res. Not. 1999, No. 20, 1119-1140 (1999). Reviewer: Michel Waldschmidt (Paris) MSC: 11G30 11G50 14G05 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Shparlinski, I. E. Finite fields: theory and computation. The meeting point of number theory, computer science, coding theory and cryptography. (English) Zbl 0967.11052 Mathematics and its Applications (Dordrecht). 477. Dordrecht: Kluwer Academic Publishers. xiv, 528 p. (1999). Reviewer: Arne Winterhof (Wien) MSC: 11Txx 11-02 11Y16 11T71 94A60 94B27 11T06 11T23 11T55 65C10 68Q25 68W30 11Y40 14G05 11G20 11Y05 11Y11 × Cite Format Result Cite Review PDF
Batyrev, Victor V. Birational Calabi-Yau \(n\)-folds have equal Betti numbers. (English) Zbl 0955.14028 Hulek, Klaus (ed.) et al., New trends in algebraic geometry. Selected papers presented at the Euro conference, Warwick, UK, July 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 264, 1-11 (1999). Reviewer: Mark Gross (MR 2000i:14059) MSC: 14J32 14E05 14F45 14F25 14E30 14G20 × Cite Format Result Cite Review PDF Full Text: arXiv
Xing, Chaoping; Niederreiter, Harald Drinfeld modules of rank 1 and algebraic curves with many rational points. (English) Zbl 0982.11034 Monatsh. Math. 127, No. 3, 219-241 (1999). Reviewer: D.Goss (Columbus/Ohio) MSC: 11G09 11G20 11R58 14G15 14H05 11T71 94B27 11R60 × Cite Format Result Cite Review PDF Full Text: DOI
Niederreiter, Harald; Xing, Chaoping Nets, \((t,s)\)-sequences, and algebraic geometry. (English) Zbl 0923.11113 Hellekalek, Peter (ed.) et al., Random and quasi-random point sets. New York, NY: Springer. Lect. Notes Stat. 138, 267-302 (1998). Reviewer: R.F.Tichy (Graz) MSC: 11K45 11G20 14H25 65D32 × Cite Format Result Cite Review PDF
Allouche, Jean-Paul; Zamboni, Luca Q. Algebraic irrational binary numbers cannot be fixed points of non-trivial constant length or primitive morphisms. (English) Zbl 0918.11016 J. Number Theory 69, No. 1, 119-124 (1998). Reviewer: V.Berthé (Marseille) MSC: 11B85 11J81 11A67 11K16 × Cite Format Result Cite Review PDF Full Text: DOI
Niederreiter, Harald Nets, \((t,s)\)-sequences, and algebraic curves over finite fields with many rational points. (English) Zbl 0899.11038 Doc. Math., Extra Vol. ICM Berlin 1998, vol. III, 377-386 (1998). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11K45 11G20 05B15 11R58 11T71 14G15 14H05 94B27 94B65 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Jarden, Moshe; Razon, Aharon Rumely’s local global principle for algebraic P\(\mathcal{S}\)C fields over rings. (English) Zbl 0924.11092 Trans. Am. Math. Soc. 350, No. 1, 55-85 (1998). Reviewer: A.Prestel (Konstanz) MSC: 11R58 11R04 11U05 12E25 14G05 × Cite Format Result Cite Review PDF Full Text: DOI
Lehrer, G. I. The cohomology of the regular semisimple variety. (English) Zbl 0916.20033 J. Algebra 199, No. 2, 666-689 (1998). Reviewer: Peter Fleischmann (Canterbury) MSC: 20G10 20G20 20G40 17B56 14F25 × Cite Format Result Cite Review PDF Full Text: DOI