Motte, François Hilbert irreducibility, the Malle conjecture and the Grunwald problem. (Théorème d’irréductibilité de Hilbert, conjecture de Malle et problème de Grunwald.) (English. French summary) Zbl 07748428 Ann. Inst. Fourier 73, No. 5, 2099-2134 (2023). Reviewer: Giancarlo Lucchini Arteche (Santiago) MSC: 12E25 12F12 11R58 11R44 PDFBibTeX XMLCite \textit{F. Motte}, Ann. Inst. Fourier 73, No. 5, 2099--2134 (2023; Zbl 07748428) Full Text: DOI
Fried, Michael D.; Jarden, Moshe Field arithmetic. 4th corrected edition. (English) Zbl 07720284 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 11. Cham: Springer (ISBN 978-3-031-28019-1/hbk; 978-3-031-28022-1/pbk; 978-3-031-28020-7/ebook). xxxi, 827 p. (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 12E30 12-02 12E25 12F12 12Lxx 14G05 PDFBibTeX XMLCite \textit{M. D. Fried} and \textit{M. Jarden}, Field arithmetic. 4th corrected edition. Cham: Springer (2023; Zbl 07720284) Full Text: DOI
Faris, Mohamed; El Fadil, Lhoussain On the geometric determination of extensions of non-Archimedean absolute values. (English) Zbl 1512.12001 Tatra Mt. Math. Publ. 83, 87-102 (2023). MSC: 12E25 12E99 13A18 PDFBibTeX XMLCite \textit{M. Faris} and \textit{L. El Fadil}, Tatra Mt. Math. Publ. 83, 87--102 (2023; Zbl 1512.12001) Full Text: DOI
You, Siwen; Wang, Chen; Shi, Fei; Hu, Sihuang; Zhang, Yiwei Unextendible product bases from tile structures in bipartite systems. (English) Zbl 1519.81123 J. Phys. A, Math. Theor. 56, No. 1, Article ID 015303, 14 p. (2023). MSC: 81P45 81P55 12E25 PDFBibTeX XMLCite \textit{S. You} et al., J. Phys. A, Math. Theor. 56, No. 1, Article ID 015303, 14 p. (2023; Zbl 1519.81123) Full Text: DOI
Bary-Soroker, Lior; Fehm, Arno; Petersen, Sebastian Hilbert properties under base change in small extensions. arXiv:2312.16219 Preprint, arXiv:2312.16219 [math.NT] (2023). MSC: 12E30 12E25 14G05 11G05 BibTeX Cite \textit{L. Bary-Soroker} et al., ``Hilbert properties under base change in small extensions'', Preprint, arXiv:2312.16219 [math.NT] (2023) Full Text: arXiv OA License
Agredo, Julián; Fagnola, Franco; Poletti, Damiano The Kossakowski matrix and strict positivity of Markovian quantum dynamics. (English) Zbl 1516.81114 Open Syst. Inf. Dyn. 29, No. 2, Article ID 2250005, 16 p. (2022). MSC: 81R05 47D07 60G15 12E25 15B48 PDFBibTeX XMLCite \textit{J. Agredo} et al., Open Syst. Inf. Dyn. 29, No. 2, Article ID 2250005, 16 p. (2022; Zbl 1516.81114) Full Text: DOI
Kulkarni, Kaivalya R.; Levin, Aaron Hilbert’s irreducibility theorem and ideal class groups of quadratic fields. (English) Zbl 1515.11113 Acta Arith. 205, No. 4, 371-380 (2022). Reviewer: Francesco Battistoni (Milano) MSC: 11R29 12E25 PDFBibTeX XMLCite \textit{K. R. Kulkarni} and \textit{A. Levin}, Acta Arith. 205, No. 4, 371--380 (2022; Zbl 1515.11113) Full Text: DOI arXiv
Dittmann, Philip; Kadets, Borys Odoni’s conjecture on arboreal Galois representations is false. (English) Zbl 1521.12003 Proc. Am. Math. Soc. 150, No. 8, 3335-3343 (2022). MSC: 12F10 12E25 PDFBibTeX XMLCite \textit{P. Dittmann} and \textit{B. Kadets}, Proc. Am. Math. Soc. 150, No. 8, 3335--3343 (2022; Zbl 1521.12003) Full Text: DOI arXiv
Liu, Fei On Hilbert’s irreducibility theorem for linear algebraic groups. (English) Zbl 1509.12001 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 2, 1053-1089 (2022). MSC: 12E25 11G35 PDFBibTeX XMLCite \textit{F. Liu}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 2, 1053--1089 (2022; Zbl 1509.12001) Full Text: DOI
Frías, María P.; Torres-Signes, Antoni; Ruiz-Medina, María D.; Mateu, Jorge Spatial Cox processes in an infinite-dimensional framework. (English) Zbl 1497.60054 Test 31, No. 1, 175-203 (2022). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 60G25 60G60 62J05 62J10 PDFBibTeX XMLCite \textit{M. P. Frías} et al., Test 31, No. 1, 175--203 (2022; Zbl 1497.60054) Full Text: DOI arXiv
Legrand, François On finite embedding problems with abelian kernels. (English) Zbl 1489.12016 J. Algebra 595, 633-659 (2022). Reviewer: Angelot Behajaina (Paris) MSC: 12E25 12F12 12F10 PDFBibTeX XMLCite \textit{F. Legrand}, J. Algebra 595, 633--659 (2022; Zbl 1489.12016) Full Text: DOI arXiv
Kaltofen, Erich L. A note on the van der Waerden conjecture on random polynomials with symmetric Galois group for function fields. arXiv:2204.02836 Preprint, arXiv:2204.02836 [math.NT] (2022). MSC: 12E25 12F10 BibTeX Cite \textit{E. L. Kaltofen}, ``A note on the van der Waerden conjecture on random polynomials with symmetric Galois group for function fields'', Preprint, arXiv:2204.02836 [math.NT] (2022) Full Text: arXiv OA License
Paredes, Marcelo; Sasyk, Román Effective Hilbert’s Irreducibility Theorem for global fields. arXiv:2202.10420 Preprint, arXiv:2202.10420 [math.NT] (2022). MSC: 11C08 11D45 11G50 11R09 11R32 12E25 BibTeX Cite \textit{M. Paredes} and \textit{R. Sasyk}, ``Effective Hilbert's Irreducibility Theorem for global fields'', Preprint, arXiv:2202.10420 [math.NT] (2022) Full Text: arXiv OA License
Fima, Pierre; Wang, Hua Rapid decay and polynomial growth for bicrossed products. (English) Zbl 1485.81044 J. Noncommut. Geom. 15, No. 3, 1105-1128 (2021). MSC: 81R50 46K10 12E25 20K25 18M20 81U90 46L65 PDFBibTeX XMLCite \textit{P. Fima} and \textit{H. Wang}, J. Noncommut. Geom. 15, No. 3, 1105--1128 (2021; Zbl 1485.81044) Full Text: DOI arXiv
Haran, Dan; Jarden, Moshe The absolute Galois group of a semi-local field. (English) Zbl 1490.12002 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-030-89190-9/hbk; 978-3-030-89191-6/ebook). xvi, 137 p. (2021). Reviewer: Angelot Behajaina (Paris) MSC: 12-02 12E30 12E25 12F10 PDFBibTeX XMLCite \textit{D. Haran} and \textit{M. Jarden}, The absolute Galois group of a semi-local field. Cham: Springer (2021; Zbl 1490.12002) Full Text: DOI
Deschamps, Bruno; Legrand, François Concerning a weak version of the inverse Galois problem. (À propos d’une version faible du problème inverse de Galois.) (French. English summary) Zbl 1464.12006 Acta Arith. 197, No. 1, 55-76 (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 12F10 12F12 20B25 12E25 12E30 PDFBibTeX XMLCite \textit{B. Deschamps} and \textit{F. Legrand}, Acta Arith. 197, No. 1, 55--76 (2021; Zbl 1464.12006) Full Text: DOI arXiv
Iadarola, Angelo Hilbert specialization of parametrized varieties. arXiv:2104.05455 Preprint, arXiv:2104.05455 [math.NT] (2021). MSC: 12E05 12E25 12E30 11C08 14Rxx BibTeX Cite \textit{A. Iadarola}, ``Hilbert specialization of parametrized varieties'', Preprint, arXiv:2104.05455 [math.NT] (2021) Full Text: arXiv OA License
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah The Schinzel hypothesis for polynomials. (English) Zbl 1469.12003 Trans. Am. Math. Soc. 373, No. 12, 8339-8364 (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 12E05 11C08 12E25 13F20 PDFBibTeX XMLCite \textit{A. Bodin} et al., Trans. Am. Math. Soc. 373, No. 12, 8339--8364 (2020; Zbl 1469.12003) Full Text: DOI arXiv
Fried, S.; Haran, D. \(\Theta\)-Hilbertianity. (English) Zbl 1512.12002 J. Algebra 555, 36-51 (2020). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 12E25 12F12 20E18 PDFBibTeX XMLCite \textit{S. Fried} and \textit{D. Haran}, J. Algebra 555, 36--51 (2020; Zbl 1512.12002) Full Text: DOI
Jarden, Moshe; Razon, Aharon Extensions of Hilbertian rings. (English) Zbl 1471.12003 Glasg. Math. J. 62, No. 1, 1-11 (2020). MSC: 12E25 PDFBibTeX XMLCite \textit{M. Jarden} and \textit{A. Razon}, Glasg. Math. J. 62, No. 1, 1--11 (2020; Zbl 1471.12003) Full Text: DOI
König, Joachim; Neftin, Danny Reducible Fibers of Polynomial Maps. arXiv:2001.03630 Preprint, arXiv:2001.03630 [math.NT] (2020). MSC: 12E25 20B15 BibTeX Cite \textit{J. König} and \textit{D. Neftin}, ``Reducible Fibers of Polynomial Maps'', Preprint, arXiv:2001.03630 [math.NT] (2020) Full Text: arXiv OA License
Filaseta, Michael; Wilcox, Robert An explicit dense universal Hilbert set. (English) Zbl 1444.11211 Math. Proc. Camb. Philos. Soc. 167, No. 3, 531-547 (2019). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R09 12E25 PDFBibTeX XMLCite \textit{M. Filaseta} and \textit{R. Wilcox}, Math. Proc. Camb. Philos. Soc. 167, No. 3, 531--547 (2019; Zbl 1444.11211) Full Text: DOI
Fehm, Arno; Legrand, François; Paran, Elad Embedding problems for automorphism groups of field extensions. (English) Zbl 1478.12004 Bull. Lond. Math. Soc. 51, No. 4, 732-744 (2019). Reviewer: Salah Najib (Khouribga) MSC: 12E25 12E30 12F12 20B25 PDFBibTeX XMLCite \textit{A. Fehm} et al., Bull. Lond. Math. Soc. 51, No. 4, 732--744 (2019; Zbl 1478.12004) Full Text: DOI arXiv
Landesman, Aaron; Swaminathan, Ashvin; Tao, James; Xu, Yujie Surjectivity of Galois representations in rational families of abelian varieties. (English) Zbl 1472.11169 Algebra Number Theory 13, No. 5, 995-1038 (2019). MSC: 11F80 11G10 11G30 11N36 11R32 12E25 PDFBibTeX XMLCite \textit{A. Landesman} et al., Algebra Number Theory 13, No. 5, 995--1038 (2019; Zbl 1472.11169) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{L. Bary-Soroker} and \textit{F. Legrand}, New York J. Math. 24, 1004--1019 (2018; Zbl 1443.11240) Full Text: arXiv Link
Villarino, Mark B.; Gasarch, William; Regan, Kenneth W. Hilbert’s proof of his irreducibility theorem. (English) Zbl 1458.12002 Am. Math. Mon. 125, No. 6, 513-530 (2018). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 12E25 05D10 PDFBibTeX XMLCite \textit{M. B. Villarino} et al., Am. Math. Mon. 125, No. 6, 513--530 (2018; Zbl 1458.12002) Full Text: DOI arXiv
Legrand, François; Paran, Elad Automorphism groups over Hilbertian fields. (English) Zbl 1419.12002 J. Algebra 503, 1-7 (2018). MSC: 12E25 12F12 20B25 PDFBibTeX XMLCite \textit{F. Legrand} and \textit{E. Paran}, J. Algebra 503, 1--7 (2018; Zbl 1419.12002) Full Text: DOI arXiv
Izquierdo, Diego On a conjecture of Kato and Kuzumaki. (English) Zbl 1442.11070 Algebra Number Theory 12, No. 2, 429-454 (2018). MSC: 11E76 12E25 12E30 14G27 19D45 19F99 PDFBibTeX XMLCite \textit{D. Izquierdo}, Algebra Number Theory 12, No. 2, 429--454 (2018; Zbl 1442.11070) Full Text: DOI arXiv
Ghazi, Nour On the profinite abelian Beckmann-Black problem. (English) Zbl 1386.12006 Math. J. Okayama Univ. 60, 233-240 (2018). MSC: 12F12 12E25 14H30 PDFBibTeX XMLCite \textit{N. Ghazi}, Math. J. Okayama Univ. 60, 233--240 (2018; Zbl 1386.12006)
Bilu, Yuri [Gillibert, Jean] Counting number fields in fibers (with an appendix by Jean Gillibert). (English) Zbl 1411.11101 Math. Z. 288, No. 1-2, 541-563 (2018). Reviewer: Roberto Dvornicich (Pisa) MSC: 11R21 12E25 14H05 PDFBibTeX XMLCite \textit{Y. Bilu}, Math. Z. 288, No. 1--2, 541--563 (2018; Zbl 1411.11101) Full Text: DOI Link
Im, Bo-Hae; Wallace, Erik Rank gain of Jacobian varieties over finite Galois extensions. (English) Zbl 1391.14055 J. Number Theory 184, 68-84 (2018). Reviewer: Sungkon Chang (Savannah) MSC: 14H40 11G05 12E25 14H30 PDFBibTeX XMLCite \textit{B.-H. Im} and \textit{E. Wallace}, J. Number Theory 184, 68--84 (2018; Zbl 1391.14055) Full Text: DOI
Malle, Gunter; Matzat, Bernd Heinrich Inverse Galois theory. 2nd edition. (English) Zbl 1406.12001 Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-3-662-55419-7/hbk; 978-3-662-55420-3/ebook). xvii, 533 p. (2018). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 12-02 12F12 12F10 12G05 14G22 PDFBibTeX XMLCite \textit{G. Malle} and \textit{B. H. Matzat}, Inverse Galois theory. 2nd edition. Berlin: Springer (2018; Zbl 1406.12001) Full Text: DOI
Hyde, Trevor; Lagarias, Jeffrey C. Polynomial splitting measures and cohomology of the pure braid group. (English) Zbl 1469.11416 Arnold Math. J. 3, No. 2, 219-249 (2017). MSC: 11R09 11R32 11R34 12E20 12E25 20F36 PDFBibTeX XMLCite \textit{T. Hyde} and \textit{J. C. Lagarias}, Arnold Math. J. 3, No. 2, 219--249 (2017; Zbl 1469.11416) Full Text: DOI arXiv
Bilu, Yuri; Luca, Florian Number fields in fibers: the geometrically abelian case with rational critical values. (English) Zbl 1413.12001 Period. Math. Hung. 75, No. 2, 315-321 (2017). MSC: 12E25 PDFBibTeX XMLCite \textit{Y. Bilu} and \textit{F. Luca}, Period. Math. Hung. 75, No. 2, 315--321 (2017; Zbl 1413.12001) Full Text: DOI arXiv
Bengtsson, Ingemar The number behind the simplest SIC-POVM. (English) Zbl 1382.81024 Found. Phys. 47, No. 8, 1031-1041 (2017). MSC: 81P15 46G10 12E25 PDFBibTeX XMLCite \textit{I. Bengtsson}, Found. Phys. 47, No. 8, 1031--1041 (2017; Zbl 1382.81024) Full Text: DOI arXiv
Legrand, François Hilbert specialization results with local conditions. (English) Zbl 1397.11159 Rocky Mt. J. Math. 47, No. 6, 1917-1945 (2017). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11R58 12E25 12E30 14E22 PDFBibTeX XMLCite \textit{F. Legrand}, Rocky Mt. J. Math. 47, No. 6, 1917--1945 (2017; Zbl 1397.11159) Full Text: DOI arXiv Euclid
König, Joachim Non-parametricity of rational translates of regular Galois extensions. (English) Zbl 1384.11099 Acta Arith. 179, No. 3, 267-275 (2017). Reviewer: John D. Dixon (Ottawa) MSC: 11R32 12E25 PDFBibTeX XMLCite \textit{J. König}, Acta Arith. 179, No. 3, 267--275 (2017; Zbl 1384.11099) Full Text: DOI arXiv
Corvaja, Pietro; Zannier, Umberto On the Hilbert property and the fundamental group of algebraic varieties. (English) Zbl 1391.14044 Math. Z. 286, No. 1-2, 579-602 (2017). Reviewer: Paul Vojta (Berkeley) MSC: 14G25 12E25 PDFBibTeX XMLCite \textit{P. Corvaja} and \textit{U. Zannier}, Math. Z. 286, No. 1--2, 579--602 (2017; Zbl 1391.14044) Full Text: DOI arXiv
Fehm, Arno The elementary theory of large fields of totally \(\mathfrak{S}\)-adic numbers. (English) Zbl 1423.03130 J. Inst. Math. Jussieu 16, No. 1, 121-154 (2017). MSC: 03C60 03C62 03B25 12L12 12E30 12E25 PDFBibTeX XMLCite \textit{A. Fehm}, J. Inst. Math. Jussieu 16, No. 1, 121--154 (2017; Zbl 1423.03130) Full Text: DOI arXiv
König, Joachim On the reducibility behavior of Thue polynomials. (English) Zbl 1425.11052 J. Number Theory 176, 37-45 (2017). Reviewer: Salah Najib (Khouribga) MSC: 11C08 12E25 20B15 PDFBibTeX XMLCite \textit{J. König}, J. Number Theory 176, 37--45 (2017; Zbl 1425.11052) Full Text: DOI arXiv
Hasson, Hilaf Minimal fields of definition for Galois action. (English) Zbl 1386.14114 J. Pure Appl. Algebra 220, No. 9, 3327-3331 (2016). Reviewer: Günter Lettl (Graz) MSC: 14H30 14L30 12E25 14E20 PDFBibTeX XMLCite \textit{H. Hasson}, J. Pure Appl. Algebra 220, No. 9, 3327--3331 (2016; Zbl 1386.14114) Full Text: DOI arXiv
Shusterman, Mark Free subgroups of finitely generated free profinite groups. (English) Zbl 1403.20040 J. Lond. Math. Soc., II. Ser. 93, No. 2, 361-378 (2016). MSC: 20E18 12E25 20E05 20F05 PDFBibTeX XMLCite \textit{M. Shusterman}, J. Lond. Math. Soc., II. Ser. 93, No. 2, 361--378 (2016; Zbl 1403.20040) Full Text: DOI arXiv
Ruiz-Medina, M. D.; Romano, E.; Fernández-Pascual, R. Plug-in prediction intervals for a special class of standard ARH(1) processes. (English) Zbl 1346.60052 J. Multivariate Anal. 146, 138-150 (2016). MSC: 60G25 62M20 62M10 60G15 60G60 60G07 PDFBibTeX XMLCite \textit{M. D. Ruiz-Medina} et al., J. Multivariate Anal. 146, 138--150 (2016; Zbl 1346.60052) Full Text: DOI
Bary-Soroker, Lior; Fehm, Arno; Wiese, Gabor Hilbertian fields and Galois representations. (English) Zbl 1410.12008 J. Reine Angew. Math. 712, 123-139 (2016). MSC: 12E25 12E30 20E18 20E22 PDFBibTeX XMLCite \textit{L. Bary-Soroker} et al., J. Reine Angew. Math. 712, 123--139 (2016; Zbl 1410.12008) Full Text: DOI arXiv
Dèbes, Pierre Reduction and specialization of polynomials. (English) Zbl 1346.12001 Acta Arith. 172, No. 2, 175-197 (2016). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 12E05 12E25 PDFBibTeX XMLCite \textit{P. Dèbes}, Acta Arith. 172, No. 2, 175--197 (2016; Zbl 1346.12001) Full Text: DOI
Lagarias, Jeffrey C. A family of measures on symmetric groups and the field with one element. (English) Zbl 1337.11074 J. Number Theory 161, 311-342 (2016). Reviewer: Mihai Cipu (Bucureşti) MSC: 11R09 11R32 12E20 12E25 PDFBibTeX XMLCite \textit{J. C. Lagarias}, J. Number Theory 161, 311--342 (2016; Zbl 1337.11074) Full Text: DOI arXiv
Checcoli, Sara; Dèbes, Pierre Tchebotarev theorems for function fields. (English) Zbl 1400.11150 J. Algebra 446, 346-372 (2016). MSC: 11R58 12F10 12E25 12E30 14G99 PDFBibTeX XMLCite \textit{S. Checcoli} and \textit{P. Dèbes}, J. Algebra 446, 346--372 (2016; Zbl 1400.11150) Full Text: DOI arXiv
Borovoi, Mikhail Homogeneous spaces of Hilbert type. (English) Zbl 1314.14098 Int. J. Number Theory 11, No. 2, 397-405 (2015). Reviewer: Balasubramanian Sury (Bangalore) MSC: 14M17 20G30 12E25 PDFBibTeX XMLCite \textit{M. Borovoi}, Int. J. Number Theory 11, No. 2, 397--405 (2015; Zbl 1314.14098) Full Text: DOI arXiv
Bary-Soroker, Lior; Fehm, Arno [Pop, Florian] On fields of totally \(\mathfrak S\)-adic numbers – with an appendix by Florian Pop. (English) Zbl 1392.11090 Campillo, Antonio (ed.) et al., Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18–29, 2011. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-149-1/hbk). EMS Series of Congress Reports, 11-15 (2014). MSC: 11S85 12E25 PDFBibTeX XMLCite \textit{L. Bary-Soroker} and \textit{A. Fehm}, in: Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18--29, 2011. Zürich: European Mathematical Society (EMS). 11--15 (2014; Zbl 1392.11090) Full Text: arXiv
Bary-Soroker, Lior; Fehm, Arno; Petersen, Sebastian On varieties of Hilbert type. (Sur les variétés ayant la propriété de Hilbert.) (English. French summary) Zbl 1359.12001 Ann. Inst. Fourier 64, No. 5, 1893-1901 (2014). MSC: 12E25 12E30 20G30 PDFBibTeX XMLCite \textit{L. Bary-Soroker} et al., Ann. Inst. Fourier 64, No. 5, 1893--1901 (2014; Zbl 1359.12001) Full Text: DOI arXiv
Geyer, Wulf-Dieter Field theory. (English) Zbl 1311.12001 Arias-de-Reyna, Sara (ed.) et al., Special issue: Proceedings of the Winter School on Galois theory, Universtity of Luxembourg, Luxembourg, February 15–24, 2012. Vol. I. Luxembourg: University of Luxembourg, Faculty of Science, Technology and Communication (ISBN 978-2-919940-08-0/pbk). Travaux Mathématiques 22, 5-177 (2013). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 12-01 12E30 12E05 12E25 11R32 11S20 12F10 12F12 12J10 14C20 01A55 PDFBibTeX XMLCite \textit{W.-D. Geyer}, Trav. Math. 22, 5--177 (2013; Zbl 1311.12001)
Fehm, Arno; Petersen, Sebastian Hilbertianity of division fields of commutative algebraic groups. (English) Zbl 1379.12004 Isr. J. Math. 195, Part A, 123-134 (2013). MSC: 12E25 20G99 PDFBibTeX XMLCite \textit{A. Fehm} and \textit{S. Petersen}, Isr. J. Math. 195, Part A, 123--134 (2013; Zbl 1379.12004) Full Text: DOI
Müller, Peter Permutation groups with a cyclic two-orbits subgroup and monodromy groups of Laurent polynomials. (English) Zbl 1366.20001 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 12, No. 2, 369-438 (2013). MSC: 20B15 12E25 14H30 PDFBibTeX XMLCite \textit{P. Müller}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 12, No. 2, 369--438 (2013; Zbl 1366.20001) Full Text: DOI arXiv
Bary-Soroker, Lior; Paran, Elad Fully Hilbertian fields. (English) Zbl 1298.12002 Isr. J. Math. 194, Part B, 507-538 (2013). MSC: 12E25 12F10 PDFBibTeX XMLCite \textit{L. Bary-Soroker} and \textit{E. Paran}, Isr. J. Math. 194, Part B, 507--538 (2013; Zbl 1298.12002) Full Text: DOI arXiv
Bary-Soroker, Lior; Fehm, Arno Random Galois extensions of Hilbertian fields. (English. French summary) Zbl 1387.12002 J. Théor. Nombres Bordx. 25, No. 1, 31-42 (2013). MSC: 12E25 12F10 PDFBibTeX XMLCite \textit{L. Bary-Soroker} and \textit{A. Fehm}, J. Théor. Nombres Bordx. 25, No. 1, 31--42 (2013; Zbl 1387.12002) Full Text: DOI arXiv
Thornhill, Christopher Abelian varieties and Galois extensions of Hilbertian fields. (English) Zbl 1304.12001 J. Inst. Math. Jussieu 12, No. 2, 237-247 (2013). Reviewer: Arno Fehm (Konstanz) MSC: 12E30 12E25 14K15 PDFBibTeX XMLCite \textit{C. Thornhill}, J. Inst. Math. Jussieu 12, No. 2, 237--247 (2013; Zbl 1304.12001) Full Text: DOI arXiv
Fehm, Arno; Paran, Elad Klein approximation and Hilbertian fields. (English) Zbl 1295.12005 J. Reine Angew. Math. 676, 213-225 (2013). Reviewer: Lior Bary-Soroker (Tel Aviv) MSC: 12E25 12E30 12J10 PDFBibTeX XMLCite \textit{A. Fehm} and \textit{E. Paran}, J. Reine Angew. Math. 676, 213--225 (2013; Zbl 1295.12005) Full Text: DOI
Dèbes, Pierre; Legrand, François Twisted covers and specializations. (English) Zbl 1321.11114 Nakamura, Hiroaki (ed.) et al., Galois-Teichmüller theory and arithmetic geometry. Selected papers based on the presentations at the workshop and conference, Kyoto, Japan, October 25–30, 2010. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-014-3/hbk). Advanced Studies in Pure Mathematics 63, 141-162 (2012). MSC: 11R58 12E30 14H30 12E25 14G05 PDFBibTeX XMLCite \textit{P. Dèbes} and \textit{F. Legrand}, Adv. Stud. Pure Math. 63, 141--162 (2012; Zbl 1321.11114) Full Text: arXiv
Bary-Soroker, Lior Irreducibility and embedding problems. (English) Zbl 1309.12003 J. Algebra 357, 26-33 (2012). MSC: 12E30 12E25 PDFBibTeX XMLCite \textit{L. Bary-Soroker}, J. Algebra 357, 26--33 (2012; Zbl 1309.12003) Full Text: DOI arXiv
Jarden, Moshe; Paran, Elad Galois theory over integral Tate algebras. (English) Zbl 1295.12006 New York J. Math. 18, 373-387 (2012). Reviewer: Arno Fehm (Konstanz) MSC: 12F10 12E25 12J10 12J27 PDFBibTeX XMLCite \textit{M. Jarden} and \textit{E. Paran}, New York J. Math. 18, 373--387 (2012; Zbl 1295.12006) Full Text: EMIS
Fehm, Arno; Jarden, Moshe; Petersen, Sebastian Kuykian fields. (English) Zbl 1277.12002 Forum Math. 24, No. 5, 1013-1022 (2012). Reviewer: Bernat Plans (Barcelona) MSC: 12E30 12E25 14K05 PDFBibTeX XMLCite \textit{A. Fehm} et al., Forum Math. 24, No. 5, 1013--1022 (2012; Zbl 1277.12002) Full Text: DOI
Dèbes, Pierre; Ghazi, Nour Galois covers and the Hilbert-Grunwald property. (English. French summary) Zbl 1255.14022 Ann. Inst. Fourier 62, No. 3, 989-1013 (2012). Reviewer: Günter Lettl (Graz) MSC: 14H30 11R32 12F12 12E25 PDFBibTeX XMLCite \textit{P. Dèbes} and \textit{N. Ghazi}, Ann. Inst. Fourier 62, No. 3, 989--1013 (2012; Zbl 1255.14022) Full Text: DOI Numdam
Haran, Dan; Jarden, Moshe; Pop, Florian The absolute Galois group of subfields of the field of totally \(S\)-adic numbers. (English) Zbl 1318.12001 Funct. Approximatio, Comment. Math. 46, No. 2, 205-223 (2012). Reviewer: Sebastian Petersen (Kassel) MSC: 12E30 12E25 12F10 PDFBibTeX XMLCite \textit{D. Haran} et al., Funct. Approximatio, Comment. Math. 46, No. 2, 205--223 (2012; Zbl 1318.12001) Full Text: DOI Euclid
Paran, Elad Hilbertianity of fields of power series. (English) Zbl 1293.12005 J. Inst. Math. Jussieu 11, No. 2, 351-361 (2012). Reviewer: Arno Fehm (Konstanz) MSC: 12E30 12E25 13F25 PDFBibTeX XMLCite \textit{E. Paran}, J. Inst. Math. Jussieu 11, No. 2, 351--361 (2012; Zbl 1293.12005) Full Text: DOI
Kubzdela, Albert On orthogonal properties of immediate extensions of \(c_0\). (English) Zbl 1242.46091 Indag. Math., New Ser. 21, No. 1-2, 76-86 (2011). Reviewer: Cristina Pérez-García (Santander) MSC: 46S10 PDFBibTeX XMLCite \textit{A. Kubzdela}, Indag. Math., New Ser. 21, No. 1--2, 76--86 (2011; Zbl 1242.46091) Full Text: DOI
Ghazi, Nour On the Beckmann-Black problem. (English) Zbl 1239.12004 Acta Arith. 149, No. 3, 265-274 (2011). Reviewer: Bernat Plans (Barcelona) MSC: 12F12 12E25 14H30 PDFBibTeX XMLCite \textit{N. Ghazi}, Acta Arith. 149, No. 3, 265--274 (2011; Zbl 1239.12004) Full Text: DOI
Fehm, Arno; Paran, Elad Galois theory over rings of arithmetic power series. (English) Zbl 1231.12003 Adv. Math. 226, No. 5, 4183-4197 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 12F10 12F12 12E25 PDFBibTeX XMLCite \textit{A. Fehm} and \textit{E. Paran}, Adv. Math. 226, No. 5, 4183--4197 (2011; Zbl 1231.12003) Full Text: DOI
Pop, Florian Henselian implies large. (English) Zbl 1220.12001 Ann. Math. (2) 172, No. 3, 2183-2195 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 12F12 12E25 12E30 12F10 12G10 PDFBibTeX XMLCite \textit{F. Pop}, Ann. Math. (2) 172, No. 3, 2183--2195 (2010; Zbl 1220.12001) Full Text: DOI
Bary-Soroker, Lior; Kelmer, Dubi On PAC extensions and scaled trace forms. (English) Zbl 1251.11020 Isr. J. Math. 175, 113-124 (2010). Reviewer: Bernat Plans (Barcelona) MSC: 11E04 12E30 12E25 PDFBibTeX XMLCite \textit{L. Bary-Soroker} and \textit{D. Kelmer}, Isr. J. Math. 175, 113--124 (2010; Zbl 1251.11020) Full Text: DOI arXiv
Zannier, Umberto Hilbert irreducibility above algebraic groups. (English) Zbl 1208.11080 Duke Math. J. 153, No. 2, 397-425 (2010). Reviewer: Martin Bright (Warwick) MSC: 11G35 12E25 11G10 PDFBibTeX XMLCite \textit{U. Zannier}, Duke Math. J. 153, No. 2, 397--425 (2010; Zbl 1208.11080) Full Text: DOI arXiv
Jarden, Moshe Diamonds in torsion of abelian varieties. (English) Zbl 1198.12001 J. Inst. Math. Jussieu 9, No. 3, 477-480 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 12E30 12E25 14K15 11G10 PDFBibTeX XMLCite \textit{M. Jarden}, J. Inst. Math. Jussieu 9, No. 3, 477--480 (2010; Zbl 1198.12001) Full Text: DOI
Zywina, David Hilbert’s irreducibility theorem and the larger sieve. arXiv:1011.6465 Preprint, arXiv:1011.6465 [math.NT] (2010). MSC: 12E25 11G05 11F80 11N36 BibTeX Cite \textit{D. Zywina}, ``Hilbert's irreducibility theorem and the larger sieve'', Preprint, arXiv:1011.6465 [math.NT] (2010) Full Text: arXiv OA License
Ali, Nidal On the irreducibility for composition of polynomials. (English) Zbl 1279.12004 Int. Math. Forum 4, No. 37-40, 2001-2008 (2009). MSC: 12E05 11C08 12E25 PDFBibTeX XMLCite \textit{N. Ali}, Int. Math. Forum 4, No. 37--40, 2001--2008 (2009; Zbl 1279.12004) Full Text: Link
Zannier, U. On the Hilbert irreducibility theorem. (English) Zbl 1209.11058 Rend. Semin. Mat., Univ. Politec. Torino 67, No. 1, 1-14 (2009). Reviewer: B. Z. Moroz (Bonn) MSC: 11G35 11C08 11D72 12E25 PDFBibTeX XMLCite \textit{U. Zannier}, Rend. Semin. Mat., Univ. Politec. Torino 67, No. 1, 1--14 (2009; Zbl 1209.11058)
Paran, Elad Split embedding problems over function fields over complete domains. (English) Zbl 1225.12005 Am. J. Math. 131, No. 5, 1465-1483 (2009). Reviewer: Bernat Plans (Barcelona) MSC: 12F12 12E25 PDFBibTeX XMLCite \textit{E. Paran}, Am. J. Math. 131, No. 5, 1465--1483 (2009; Zbl 1225.12005) Full Text: DOI Link
Paran, Elad Split embedding problems over complete domains. (English) Zbl 1247.12005 Ann. Math. (2) 170, No. 2, 899-914 (2009). Reviewer: Lior Bary-Soroker (Tel Aviv) MSC: 12E30 12F12 PDFBibTeX XMLCite \textit{E. Paran}, Ann. Math. (2) 170, No. 2, 899--914 (2009; Zbl 1247.12005) Full Text: DOI Link
Hoshi, Akinari; Miyake, Katsuya On the field intersection problem of quartic generic polynomials via formal Tschirnhausen transformation. (English) Zbl 1236.11090 Comment. Math. Univ. St. Pauli 58, No. 1, 51-89 (2009). Reviewer: Bernat Plans (Barcelona) MSC: 11R16 11R20 12E25 12F10 12F12 PDFBibTeX XMLCite \textit{A. Hoshi} and \textit{K. Miyake}, Comment. Math. Univ. St. Pauli 58, No. 1, 51--89 (2009; Zbl 1236.11090) Full Text: arXiv
Bary-Soroker, Lior Dirichlet’s theorem for polynomial rings. (English) Zbl 1259.12002 Proc. Am. Math. Soc. 137, No. 1, 73-83 (2009). Reviewer: Danny Neftin (Ann Arbor) MSC: 12E30 12E25 PDFBibTeX XMLCite \textit{L. Bary-Soroker}, Proc. Am. Math. Soc. 137, No. 1, 73--83 (2009; Zbl 1259.12002) Full Text: DOI arXiv
Bary-Soroker, Lior Pseudo Algebraically Closed Extensions. arXiv:0907.2892 Preprint, arXiv:0907.2892 [math.NT] (2009). MSC: 12E25 BibTeX Cite \textit{L. Bary-Soroker}, ``Pseudo Algebraically Closed Extensions'', Preprint, arXiv:0907.2892 [math.NT] (2009) Full Text: arXiv OA License
Dèbes, Pierre; Walkowiak, Yann Bounds for Hilbert’s irreducibility theorem. (English) Zbl 1213.12005 Pure Appl. Math. Q. 4, No. 4, 1059-1083 (2008). Reviewer: Lior Bary-Soroker (Essen) MSC: 12E25 14G05 12E05 PDFBibTeX XMLCite \textit{P. Dèbes} and \textit{Y. Walkowiak}, Pure Appl. Math. Q. 4, No. 4, 1059--1083 (2008; Zbl 1213.12005) Full Text: DOI Link
Bary-Soroker, Lior On the characterization of Hilbertian fields. (English) Zbl 1217.12003 Int. Math. Res. Not. 2008, Article ID rnn089, 10 p. (2008). Reviewer: Bernat Plans (Barcelona) MSC: 12E25 12F10 12E30 PDFBibTeX XMLCite \textit{L. Bary-Soroker}, Int. Math. Res. Not. 2008, Article ID rnn089, 10 p. (2008; Zbl 1217.12003) Full Text: DOI arXiv
Najib, Salah Irreducibility and specialization of polynomials. (Irréductibilité et spécialisation des polynômes.) (French) Zbl 1151.12300 Port. Math. (N.S.) 65, No. 3, 339-343 (2008). MSC: 12D05 12E25 12E05 11C08 PDFBibTeX XMLCite \textit{S. Najib}, Port. Math. (N.S.) 65, No. 3, 339--343 (2008; Zbl 1151.12300) Full Text: DOI Link
Fried, Michael D.; Jarden, Moshe Field arithmetic. Revised by Moshe Jarden. 3rd revised ed. (English) Zbl 1145.12001 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 11. Berlin: Springer (ISBN 978-3-540-77269-9/hbk). xxiv, 792 p. (2008). Reviewer: Roberto Dvornicich (Pisa) MSC: 12E30 12-02 12E25 12F12 12Lxx 14G05 PDFBibTeX XMLCite \textit{M. D. Fried} and \textit{M. Jarden}, Field arithmetic. Revised by Moshe Jarden. 3rd revised ed. Berlin: Springer (2008; Zbl 1145.12001) Full Text: DOI
Ferretti, Andrea; Zannier, Umberto Equations in the Hadamard ring of rational functions. (English) Zbl 1150.11008 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 6, No. 3, 457-475 (2007). Reviewer: John H. Loxton (North Ryde) MSC: 11B37 12E25 13F25 PDFBibTeX XMLCite \textit{A. Ferretti} and \textit{U. Zannier}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 6, No. 3, 457--475 (2007; Zbl 1150.11008) Full Text: arXiv
Serre, Jean-Pierre Topics in Galois theory. Notes written by Henri Darmon. 2nd ed. (English) Zbl 1128.12001 Research Notes in Mathematics 1. Wellesley, MA: A K Peters (ISBN 978-1-56881-412-4/hbk). xvi, 120 p. (2007). Reviewer: Werner Kleinert (Berlin) MSC: 12-01 11-01 12F12 11R32 12E25 11N35 20D08 20D06 20F29 PDFBibTeX XMLCite \textit{J.-P. Serre}, Topics in Galois theory. Notes written by Henri Darmon. 2nd ed. Wellesley, MA: A K Peters (2007; Zbl 1128.12001)
Dvornicich, R.; Zannier, U. Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps). (English) Zbl 1127.11040 Duke Math. J. 139, No. 3, 527-554 (2007). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11G10 11G50 11R18 37F10 12E25 11R09 PDFBibTeX XMLCite \textit{R. Dvornicich} and \textit{U. Zannier}, Duke Math. J. 139, No. 3, 527--554 (2007; Zbl 1127.11040) Full Text: DOI Euclid
Petersen, Sebastian On a question of Frey and Jarden about the rank of Abelian varieties. (English) Zbl 1193.11059 J. Number Theory 120, No. 2, 287-302 (2006). MSC: 11G10 14K15 PDFBibTeX XMLCite \textit{S. Petersen}, J. Number Theory 120, No. 2, 287--302 (2006; Zbl 1193.11059) Full Text: DOI
Jensen, C. U.; Massy, Richard Some remarks on Hilbertian fields. An appendix to the paper “Galois averages” by R. Massy. (English) Zbl 1181.12001 J. Number Theory 120, No. 2, 229-233 (2006). MSC: 12F10 11R32 12E25 PDFBibTeX XMLCite \textit{C. U. Jensen} and \textit{R. Massy}, J. Number Theory 120, No. 2, 229--233 (2006; Zbl 1181.12001) Full Text: DOI
Bary-Soroker, Lior Diamond theorem for a finitely generated free profinite group. (English) Zbl 1111.20029 Math. Ann. 336, No. 4, 949-961 (2006). Reviewer: John D. Dixon (Ottawa) MSC: 20E18 12E25 12F05 20E07 20F05 PDFBibTeX XMLCite \textit{L. Bary-Soroker}, Math. Ann. 336, No. 4, 949--961 (2006; Zbl 1111.20029) Full Text: DOI arXiv
Najib, Salah A refinement of the Hilbertian character of the field \(K(X)\). (Un raffinement du caractère hilbertien du corps \(K(X)\).) (French) Zbl 1157.12001 Manuscr. Math. 120, No. 4, 415-418 (2006). MSC: 12E25 12E05 12D05 PDFBibTeX XMLCite \textit{S. Najib}, Manuscr. Math. 120, No. 4, 415--418 (2006; Zbl 1157.12001) Full Text: DOI
Jarden, Moshe A Karrass-Solitar theorem for profinite groups. (English) Zbl 1101.20017 J. Group Theory 9, No. 2, 139-146 (2006). Reviewer: Pavel Zalesskij (Brasília) MSC: 20E18 12E30 20E07 12E25 12F10 12F12 PDFBibTeX XMLCite \textit{M. Jarden}, J. Group Theory 9, No. 2, 139--146 (2006; Zbl 1101.20017) Full Text: DOI
Koenigsmann, Jochen Products of absolute Galois groups. (English) Zbl 1092.12004 Int. Math. Res. Not. 2005, No. 24, 1465-1486 (2005). Reviewer: Tara L. Smith (Cincinnati) MSC: 12F10 12E25 PDFBibTeX XMLCite \textit{J. Koenigsmann}, Int. Math. Res. Not. 2005, No. 24, 1465--1486 (2005; Zbl 1092.12004) Full Text: DOI
Hawkins, Sidney T. Inequalities between Pythagoras numbers and algebraic ranks in Witt rings of fields. (English) Zbl 1088.11026 Linear Multilinear Algebra 53, No. 6, 455-461 (2005). Reviewer: Alfred Czogała (Katowice) MSC: 11E81 11E04 PDFBibTeX XMLCite \textit{S. T. Hawkins}, Linear Multilinear Algebra 53, No. 6, 455--461 (2005; Zbl 1088.11026) Full Text: DOI Link
Walkowiak, Yann An effective Hilbert irreducibility theorem. (Théorème d’irréductibilité de Hilbert effectif.) (French) Zbl 1071.12002 Acta Arith. 116, No. 4, 343-362 (2005). Reviewer: Roger Heath-Brown (Oxford) MSC: 12E25 11C08 11D45 PDFBibTeX XMLCite \textit{Y. Walkowiak}, Acta Arith. 116, No. 4, 343--362 (2005; Zbl 1071.12002) Full Text: DOI
Fried, Michael D.; Jarden, Moshe Field arithmetic. 2nd revised and enlarged ed. (English) Zbl 1055.12003 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 11. Berlin: Springer (ISBN 3-540-22811-X/hbk). xxii, 780 p. (2005). Reviewer: Roberto Dvornicich (Pisa) MSC: 12E30 12-02 12E25 12F12 12Lxx 14G05 PDFBibTeX XMLCite \textit{M. D. Fried} and \textit{M. Jarden}, Field arithmetic. 2nd revised and enlarged ed. Berlin: Springer (2005; Zbl 1055.12003)
Cavachi, Marius; Vâjâitu, Marian; Zaharescu, Alexandru An irreducibility criterion for polynomials in several variables. (English) Zbl 1234.12001 Acta Math. Univ. Ostrav. 12, No. 1, 13-18 (2004). MSC: 12E25 11R09 PDFBibTeX XMLCite \textit{M. Cavachi} et al., Acta Math. Univ. Ostrav. 12, No. 1, 13--18 (2004; Zbl 1234.12001) Full Text: EuDML Link
Brink, David On alternating and symmetric groups as Galois groups. (English) Zbl 1067.12004 Isr. J. Math. 142, 47-60 (2004). Reviewer: Martin Epkenhans (Münster) MSC: 12F12 PDFBibTeX XMLCite \textit{D. Brink}, Isr. J. Math. 142, 47--60 (2004; Zbl 1067.12004) Full Text: DOI
Bonciocat, Nicolae Ciprian Upper bounds for the number of factors for a class of polynomials with rational coefficients. (English) Zbl 1049.11027 Acta Arith. 113, No. 2, 175-187 (2004). Reviewer: Roberto Dvornicich (Pisa) MSC: 11C08 12E25 PDFBibTeX XMLCite \textit{N. C. Bonciocat}, Acta Arith. 113, No. 2, 175--187 (2004; Zbl 1049.11027) Full Text: DOI Link
Laurent, Michel; Poulakis, Dimitrios On the global distance between two algebraic points on a curve. (English) Zbl 1055.11046 J. Number Theory 104, No. 2, 210-254 (2004). Reviewer: Michel Waldschmidt (Paris) MSC: 11J81 14G05 11D41 12E25 PDFBibTeX XMLCite \textit{M. Laurent} and \textit{D. Poulakis}, J. Number Theory 104, No. 2, 210--254 (2004; Zbl 1055.11046) Full Text: DOI
Perez-Garcia, C.; Schikhof, W. H. Finite-dimensional orthocomplemented subspaces in \(p\)-adic normed spaces. (English) Zbl 1057.46063 Schikhof, W. H. (ed.) et al., Ultrametric functional analysis. Proceedings of the seventh international conference on \(p\)-adic functional analysis, Nijmegen, The Netherlands, June 17–21, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2889-4/pbk). Contemp. Math. 319, 281-298 (2003). Reviewer: T. D. Narang (Amritsar) MSC: 46S10 PDFBibTeX XMLCite \textit{C. Perez-Garcia} and \textit{W. H. Schikhof}, Contemp. Math. 319, 281--298 (2003; Zbl 1057.46063)