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 07324305 Acta Arith. 197, No. 1, 55-76 (2021). MSC: 12F10 12F12 20B25 12E25 12E30 PDF BibTeX XML Cite \textit{B. Deschamps} and \textit{F. Legrand}, Acta Arith. 197, No. 1, 55--76 (2021; Zbl 07324305) Full Text: DOI
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah The Schinzel hypothesis for polynomials. (English) Zbl 07301826 Trans. Am. Math. Soc. 373, No. 12, 8339-8364 (2020). MSC: 12E05 12E25 12E30 11C08 11N80 13Fxx PDF BibTeX XML Cite \textit{A. Bodin} et al., Trans. Am. Math. Soc. 373, No. 12, 8339--8364 (2020; Zbl 07301826) Full Text: DOI
Fried, S.; Haran, D. \( \Theta \)-Hilbertianity. (English) Zbl 07191126 J. Algebra 555, 36-51 (2020). MSC: 12E25 12F12 20E18 PDF BibTeX XML Cite \textit{S. Fried} and \textit{D. Haran}, J. Algebra 555, 36--51 (2020; Zbl 07191126) Full Text: DOI
Fehm, Arno; Legrand, François; Paran, Elad Embedding problems for automorphism groups of field extensions. (English) Zbl 07118834 Bull. Lond. Math. Soc. 51, No. 4, 732-744 (2019). MSC: 12E25 12E30 12F12 20B25 PDF BibTeX XML Cite \textit{A. Fehm} et al., Bull. Lond. Math. Soc. 51, No. 4, 732--744 (2019; Zbl 07118834) 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 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
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 PDF BibTeX XML Cite \textit{D. Izquierdo}, Algebra Number Theory 12, No. 2, 429--454 (2018; Zbl 1442.11070) Full Text: DOI
Dumitrescu, Tiberiu; Rani, Anam Perinormal polynomial domains. (English) Zbl 1386.13008 Int. Electron. J. Algebra 23, 153-156 (2018). MSC: 13A15 13F05 PDF BibTeX XML Cite \textit{T. Dumitrescu} and \textit{A. Rani}, Int. Electron. J. Algebra 23, 153--156 (2018; Zbl 1386.13008) 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 PDF BibTeX XML Cite \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 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
Khrennikov, Andrei The present situation in quantum theory and its merging with general relativity. (English) Zbl 1382.81013 Found. Phys. 47, No. 8, 1077-1099 (2017). MSC: 81P05 83C05 81T10 81V17 81P15 83C45 PDF BibTeX XML Cite \textit{A. Khrennikov}, Found. Phys. 47, No. 8, 1077--1099 (2017; Zbl 1382.81013) Full Text: DOI
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 PDF BibTeX XML Cite \textit{F. Legrand}, Rocky Mt. J. Math. 47, No. 6, 1917--1945 (2017; Zbl 1397.11159) Full Text: DOI Euclid
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 PDF BibTeX XML Cite \textit{A. Fehm}, J. Inst. Math. Jussieu 16, No. 1, 121--154 (2017; Zbl 1423.03130) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{L. Bary-Soroker} et al., J. Reine Angew. Math. 712, 123--139 (2016; Zbl 1410.12008) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{S. Checcoli} and \textit{P. Dèbes}, J. Algebra 446, 346--372 (2016; Zbl 1400.11150) Full Text: DOI 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{W.-D. Geyer}, Trav. Math. 22, 5--177 (2013; Zbl 1311.12001)
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{L. Bary-Soroker}, J. Algebra 357, 26--33 (2012; Zbl 1309.12003) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{A. Fehm} et al., Forum Math. 24, No. 5, 1013--1022 (2012; Zbl 1277.12002) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{E. Paran}, J. Inst. Math. Jussieu 11, No. 2, 351--361 (2012; Zbl 1293.12005) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{L. Bary-Soroker} and \textit{D. Kelmer}, Isr. J. Math. 175, 113--124 (2010; Zbl 1251.11020) 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 PDF BibTeX XML Cite \textit{M. Jarden}, J. Inst. Math. Jussieu 9, No. 3, 477--480 (2010; Zbl 1198.12001) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{L. Bary-Soroker}, Proc. Am. Math. Soc. 137, No. 1, 73--83 (2009; Zbl 1259.12002) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \textit{J.-P. Serre}, Topics in Galois theory. Notes written by Henri Darmon. 2nd ed. Wellesley, MA: A K Peters (2007; Zbl 1128.12001)
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 PDF BibTeX XML Cite \textit{S. Petersen}, J. Number Theory 120, No. 2, 287--302 (2006; Zbl 1193.11059) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{M. Jarden}, J. Group Theory 9, No. 2, 139--146 (2006; Zbl 1101.20017) Full Text: DOI
Moroşanu, Gheorghe; Vladimirescu, Cristian An extension of the Jordan-von Neumann theorem. (English) Zbl 1199.46065 Gaz. Mat., Rev. Cult. Mat. 23(102), No. 2, 154-157 (2005). MSC: 46C15 46C05 PDF BibTeX XML Cite \textit{G. Moroşanu} and \textit{C. Vladimirescu}, Gaz. Mat., Rev. Cult. Mat. 23(102), No. 2, 154--157 (2005; Zbl 1199.46065)
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 PDF BibTeX XML Cite \textit{S. T. Hawkins}, Linear Multilinear Algebra 53, No. 6, 455--461 (2005; Zbl 1088.11026) 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 PDF BibTeX XML Cite \textit{M. D. Fried} and \textit{M. Jarden}, Field arithmetic. 2nd revised and enlarged ed. Berlin: Springer (2005; Zbl 1055.12003)
Müller, Peter Finiteness results for Hilbert’s irreducibility theorem. (English) Zbl 1014.12002 Ann. Inst. Fourier 52, No. 4, 983-1015 (2002). Reviewer: Roberto Dvornicich (Pisa) MSC: 12E25 12E30 14H25 20B15 20B25 PDF BibTeX XML Cite \textit{P. Müller}, Ann. Inst. Fourier 52, No. 4, 983--1015 (2002; Zbl 1014.12002) Full Text: DOI Numdam EuDML
Razon, Aharon On the density property of P\(\mathcal{S}\)C fields. (English) Zbl 1008.12006 Math. Nachr. 235, 163-177 (2002). Reviewer: Roberto Dvornicich (Pisa) MSC: 12E30 12E25 11S99 11G99 PDF BibTeX XML Cite \textit{A. Razon}, Math. Nachr. 235, 163--177 (2002; Zbl 1008.12006) Full Text: DOI
Geyer, Wulf-Dieter; Jarden, Moshe PSC Galois extensions of Hilbertian fields. (English) Zbl 1007.12003 Math. Nachr. 236, 119-160 (2002). Reviewer: Roberto Dvornicich (Pisa) MSC: 12E30 12E25 PDF BibTeX XML Cite \textit{W.-D. Geyer} and \textit{M. Jarden}, Math. Nachr. 236, 119--160 (2002; Zbl 1007.12003) Full Text: DOI
Ershov, Yu. L. Immediate extensions of Prüfer rings. (Russian, English) Zbl 1032.13009 Algebra Logika 40, No. 3, 262-289 (2001); translation in Algebra Logic 40, No. 3, 144-158 (2001). Reviewer: A.P.Pozhidaev (Novosibirsk) MSC: 13F05 13F10 13F30 12F05 12J10 12E25 PDF BibTeX XML Cite \textit{Yu. L. Ershov}, Algebra Logika 40, No. 3, 262--289 (2001; Zbl 1032.13009); translation in Algebra Logic 40, No. 3, 144--158 (2001)
Swallow, John R. Quadratic descent for quaternion algebras. (English) Zbl 1004.12001 Commun. Algebra 29, No. 10, 4523-4544 (2001). Reviewer: J.-P.Tignol (Louvain-La-Neuve) MSC: 12F12 12E25 PDF BibTeX XML Cite \textit{J. R. Swallow}, Commun. Algebra 29, No. 10, 4523--4544 (2001; Zbl 1004.12001) Full Text: DOI
Hofmann, Gerald On self-polar Hilbertian norms on (indefinite) inner product spaces. (English) Zbl 0989.46010 Kérchy, László (ed.) et al., Recent advances in operator theory and related topics. The Béla Szőkefalvi-Nagy memorial volume. Proceedings of the memorial conference, Szeged, Hungary, August 2-6, 1999. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 127, 349-374 (2001). Reviewer: L.Janos (Kent/Ohio) MSC: 46C20 46K10 81T05 PDF BibTeX XML Cite \textit{G. Hofmann}, in: Recent advances in operator theory and related topics. The Béla Szőkefalvi-Nagy memorial volume. Proceedings of the memorial conference, Szeged, Hungary, August 2--6, 1999. Basel: Birkhäuser. 349--374 (2001; Zbl 0989.46010)
Dvornicich, Roberto The influence of Hilbert on number theory. (Italian) Zbl 1097.11002 Matematiche 55, Suppl. 1, 75-91 (2000). Reviewer: Leonardo Cangelmi (Pescara) MSC: 11-03 01A60 12E25 12-03 PDF BibTeX XML Cite \textit{R. Dvornicich}, Matematiche 55, 75--91 (2000; Zbl 1097.11002)
Huang, Ming-Deh; Wong, Yiu-Chung Extended Hilbert irreducibility and its applications. (English) Zbl 0962.68076 J. Algorithms 37, No. 1, 121-145 (2000). MSC: 12E25 68Q25 12Y05 PDF BibTeX XML Cite \textit{M.-D. Huang} and \textit{Y.-C. Wong}, J. Algorithms 37, No. 1, 121--145 (2000; Zbl 0962.68076) Full Text: DOI
Razon, Aharon Splittings of \(\widetilde{\mathbb Q} /\mathbb Q\). (English) Zbl 0954.12001 Arch. Math. 74, No. 4, 263-265 (2000). Reviewer: G.Pestov (Tomsk) MSC: 12E30 12E25 12F05 PDF BibTeX XML Cite \textit{A. Razon}, Arch. Math. 74, No. 4, 263--265 (2000; Zbl 0954.12001) Full Text: DOI
dos Santos, Clotilzio Moreira On multiquadratic extensions of \(n\)-Hilbert fields in characteristic 2. (English) Zbl 0988.12002 Commun. Algebra 28, No. 2, 861-866 (2000). Reviewer: K.Szymiczek (Tychy) MSC: 12E25 PDF BibTeX XML Cite \textit{C. M. dos Santos}, Commun. Algebra 28, No. 2, 861--866 (2000; Zbl 0988.12002) Full Text: DOI
Dèbes, Pierre Galois covers with prescribed fibers: The Beckmann-Black problem. (English) Zbl 0954.12002 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 28, No. 2, 273-286 (1999). Reviewer: Roberto Dvornicich (Pisa) MSC: 12F12 12E25 14H30 PDF BibTeX XML Cite \textit{P. Dèbes}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 28, No. 2, 273--286 (1999; Zbl 0954.12002) Full Text: Numdam EuDML
Malle, Gunter; Matzat, B. Heinrich Inverse Galois theory. (English) Zbl 0940.12001 Springer Monographs in Mathematics. Berlin: Springer. xv, 436 p. (1999). Reviewer: M.Epkenhans (Paderborn) MSC: 12F12 12-02 12F10 12G05 PDF BibTeX XML Cite \textit{G. Malle} and \textit{B. H. Matzat}, Inverse Galois theory. Berlin: Springer (1999; Zbl 0940.12001)
Tung, Shih Ping Sentences over integral domains and their computational complexities. (English) Zbl 0940.03015 Inf. Comput. 149, No. 2, 99-133 (1999). MSC: 03B25 12L05 12L12 03D15 68Q25 12E25 03C60 PDF BibTeX XML Cite \textit{S. P. Tung}, Inf. Comput. 149, No. 2, 99--133 (1999; Zbl 0940.03015) Full Text: DOI
Fried, Michael D.; Jarden, Moshe On \(\Sigma\)-Hilbertian fields. (English) Zbl 0933.12001 Pac. J. Math. 185, No. 2, 307-313 (1998). Reviewer: P.Corvaja (Udine) MSC: 12E25 PDF BibTeX XML Cite \textit{M. D. Fried} and \textit{M. Jarden}, Pac. J. Math. 185, No. 2, 307--313 (1998; Zbl 0933.12001) Full Text: DOI Link
Huang, Ming-Deh; Wong, Yiu-Chung Extended Hilbert irreducibility and its applications. (English) Zbl 0932.12005 Proceedings of the 9th annual ACM-SIAM symposium on Discrete algorithms. San Francisco, CA, USA, January 25–27, 1998. Philadelphia, PA: SIAM. 50-58 (1998). Reviewer: Leonardo Cangelmi (Roma) MSC: 12E25 12Y05 13P10 68W30 PDF BibTeX XML Cite \textit{M.-D. Huang} and \textit{Y.-C. Wong}, in: Proceedings of the 9th annual ACM-SIAM symposium on discrete algorithms, SODA '98. San Francisco, CA, USA, January 25--27, 1998. Philadelphia, PA: SIAM. 50--58 (1998; Zbl 0932.12005)
Zannier, Umberto On the number of times a root of \(f(n,x)=0\) generates a field containing a given number field. (English) Zbl 0928.11043 J. Number Theory 72, No. 1, 1-12 (1998). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R09 12E25 11R04 11C08 PDF BibTeX XML Cite \textit{U. Zannier}, J. Number Theory 72, No. 1, 1--12 (1998; Zbl 0928.11043) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Jarden} and \textit{A. Razon}, Trans. Am. Math. Soc. 350, No. 1, 55--85 (1998; Zbl 0924.11092) Full Text: DOI
Dèbes, Pierre; Zannier, Umberto Hilbert’s irreducibility theorem and \(G\)-functions. (English) Zbl 0892.11024 Math. Ann. 309, No. 3, 491-503 (1997). Reviewer: T.Komatsu (Nagaoka) MSC: 11J72 11J91 33E30 33E20 12E25 PDF BibTeX XML Cite \textit{P. Dèbes} and \textit{U. Zannier}, Math. Ann. 309, No. 3, 491--503 (1997; Zbl 0892.11024) Full Text: DOI
Jarden, Moshe Large normal extension of Hilbertian fields. (English) Zbl 0873.12001 Math. Z. 224, No. 4, 555-565 (1997). Reviewer: M.Epkenhans (Paderborn) MSC: 12E25 12F99 12L05 PDF BibTeX XML Cite \textit{M. Jarden}, Math. Z. 224, No. 4, 555--565 (1997; Zbl 0873.12001) Full Text: DOI
Zannier, Umberto Fields containing values of algebraic functions and related questions. (English) Zbl 0922.12004 David, Sinnou (ed.), Number theory. Séminaire de Théorie des Nombres de Paris 1993–94. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 235, 199-213 (1996). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 12E25 12E05 12F05 PDF BibTeX XML Cite \textit{U. Zannier}, Lond. Math. Soc. Lect. Note Ser. 235, 199--213 (1996; Zbl 0922.12004)
Völklein, Helmut Groups as Galois groups: an introduction. (English) Zbl 0868.12003 Cambridge Studies in Advanced Mathematics. 53. Cambridge: Cambridge Univ. Press. xvii, 248 p. (1996). Reviewer: M.Epkenhans (Paderborn) MSC: 12F12 12-02 11R32 12F10 12E25 PDF BibTeX XML Cite \textit{H. Völklein}, Groups as Galois groups: an introduction. Cambridge: Cambridge Univ. Press (1996; Zbl 0868.12003)
Fein, Burton; Schacher, Murray Properties of iterates and composites of polynomials. (English) Zbl 0865.12003 J. Lond. Math. Soc., II. Ser. 54, No. 3, 489-497 (1996). Reviewer: B.Fein (Corvallis) MSC: 12E05 PDF BibTeX XML Cite \textit{B. Fein} and \textit{M. Schacher}, J. Lond. Math. Soc., II. Ser. 54, No. 3, 489--497 (1996; Zbl 0865.12003) Full Text: DOI
Pop, Florian Embedding problems over large fields. (English) Zbl 0862.12003 Ann. Math. (2) 144, No. 1, 1-34 (1996). Reviewer: Tara L.Smith (Cincinnati) MSC: 12F10 12F12 PDF BibTeX XML Cite \textit{F. Pop}, Ann. Math. (2) 144, No. 1, 1--34 (1996; Zbl 0862.12003) Full Text: DOI
Müller, Peter Reducibility behavior of polynomials with varying coefficients. (English) Zbl 0871.12003 Isr. J. Math. 94, 59-91 (1996). Reviewer: M.Reversat (Toulouse) MSC: 12E05 12E25 PDF BibTeX XML Cite \textit{P. Müller}, Isr. J. Math. 94, 59--91 (1996; Zbl 0871.12003) Full Text: DOI
Dèbes, Pierre On a problem of Dvornicich and Zannier. (English) Zbl 0849.12003 Acta Arith. 73, No. 4, 379-387 (1995). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 12E25 14H05 11R58 12E05 PDF BibTeX XML Cite \textit{P. Dèbes}, Acta Arith. 73, No. 4, 379--387 (1995; Zbl 0849.12003) Full Text: DOI EuDML
Dvornicich, R.; Zannier, U. Fields containing values of algebraic functions. II: On a conjecture of Schinzel. (English) Zbl 0832.12001 Acta Arith. 72, No. 3, 201-210 (1995). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 12E25 12F05 12E05 11R04 PDF BibTeX XML Cite \textit{R. Dvornicich} and \textit{U. Zannier}, Acta Arith. 72, No. 3, 201--210 (1995; Zbl 0832.12001) Full Text: DOI EuDML
Jarden, Moshe On free profinite groups of uncountable rank. (English) Zbl 0834.12002 Fried, Michael D. (ed.) et al., Recent developments in the inverse Galois problem. A joint summer research conference, July 17-23, 1993, University of Washington, Seattle, WA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 186, 371-383 (1995). Reviewer: M.Epkenhans (Paderborn) MSC: 12F10 PDF BibTeX XML Cite \textit{M. Jarden}, Contemp. Math. 186, 371--383 (1995; Zbl 0834.12002)
Kaltofen, Erich Effective Noether irreducibility forms and applications. (English) Zbl 0844.12006 J. Comput. Syst. Sci. 50, No. 2, 274-295 (1995). Reviewer: F.J.Wright (London) MSC: 12Y05 12E25 68Q25 PDF BibTeX XML Cite \textit{E. Kaltofen}, J. Comput. Syst. Sci. 50, No. 2, 274--295 (1995; Zbl 0844.12006) Full Text: DOI
Stoll, Michael Construction of semiabelian Galois extensions. (English) Zbl 0837.12002 Glasg. Math. J. 37, No. 1, 99-104 (1995). Reviewer: T.Soundararajan (Madurai) MSC: 12F12 12F10 12E25 PDF BibTeX XML Cite \textit{M. Stoll}, Glasg. Math. J. 37, No. 1, 99--104 (1995; Zbl 0837.12002) Full Text: DOI
Rubinfeld, Ronitt; Zippel, Richard A new modular interpolation algorithm for factoring multivariate polynomials (extended abstract). (English) Zbl 0842.12004 Adleman, Leonard M. (ed.) et al., Algorithmic number theory. 1st international symposium, ANTS-I, Ithaca, NY, USA, May 6-9, 1994. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 877, 93-107 (1994). Reviewer: F.J.Wright (London) MSC: 12Y05 68W30 11Y16 12E25 12E05 PDF BibTeX XML Cite \textit{R. Rubinfeld} and \textit{R. Zippel}, Lect. Notes Comput. Sci. 877, 93--107 (1994; Zbl 0842.12004)
Epkenhans, Martin; Krüskemper, Martin On trace forms of étale algebras and field extensions. (English) Zbl 0821.11024 Math. Z. 217, No. 3, 421-434 (1994). Reviewer: K.Szymiczek (Tychy) MSC: 11E04 11E81 12E25 PDF BibTeX XML Cite \textit{M. Epkenhans} and \textit{M. Krüskemper}, Math. Z. 217, No. 3, 421--434 (1994; Zbl 0821.11024) Full Text: DOI EuDML
Dvornicich, R.; Zannier, U. Fields containing values of algebraic functions. (English) Zbl 0819.12003 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 21, No. 3, 421-443 (1994). Reviewer: D.Ştefănescu (Bucureşti) MSC: 12E25 12E05 11R04 12F05 PDF BibTeX XML Cite \textit{R. Dvornicich} and \textit{U. Zannier}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 21, No. 3, 421--443 (1994; Zbl 0819.12003) Full Text: Numdam EuDML
Fried, Michael D.; Haran, Dan; Völklein, Helmut Real Hilbertianity and the field of totally real numbers. (English) Zbl 0815.12002 Childress, Nancy (ed.) et al., Arithmetic geometry. Conference on arithmetic geometry with an emphasis on Iwasawa theory, March 15-18, 1993, Arizona State Univ., Tempe, AZ, USA. Providence, RI: American Mathematical Society. Contemp. Math. 174, 1-34 (1994). Reviewer: G.Pestov (Tomsk) MSC: 12E25 12F12 12D15 12L12 03C10 12L05 PDF BibTeX XML Cite \textit{M. D. Fried} et al., Contemp. Math. 174, 1--34 (1994; Zbl 0815.12002)
Fried, Michael D. Global construction of general exceptional covers (with motivation for applications to encoding). (English) Zbl 0849.12002 Mullen, Gary L. (ed.) et al., Finite fields: theory, applications and algorithms. 2nd international conference, August 17-21, 1993, Las Vegas, NV, USA. Providence, RI: American Mathematical Society. Contemp. Math. 168, 69-100 (1994). MSC: 12E20 14H30 11G20 11T06 12E25 11G25 12F12 11G35 11R58 14H10 11T71 PDF BibTeX XML Cite \textit{M. D. Fried}, Contemp. Math. 168, 69--100 (1994; Zbl 0849.12002)
Fried, Michael D.; Haran, Dan; Völklein, Helmut Absolute Galois group of the totally real numbers. (English. Abridged French version) Zbl 0794.12002 C. R. Acad. Sci., Paris, Sér. I 317, No. 11, 995-999 (1993). Reviewer: C.U.Jensen (København) MSC: 12E25 12F12 12F10 PDF BibTeX XML Cite \textit{M. D. Fried} et al., C. R. Acad. Sci., Paris, Sér. I 317, No. 11, 995--999 (1993; Zbl 0794.12002)
Grover, V. K.; Sankaran, N. Irreducibility in approximation couples. (English) Zbl 0801.12002 Period. Math. Hung. 26, No. 2, 95-99 (1993). Reviewer: H.Pop (Los Angeles) MSC: 12E25 14B12 PDF BibTeX XML Cite \textit{V. K. Grover} and \textit{N. Sankaran}, Period. Math. Hung. 26, No. 2, 95--99 (1993; Zbl 0801.12002) Full Text: DOI
Jarden, Moshe; Lubotzky, Alexander Hilbertian fields and free profinite groups. (English) Zbl 0724.12005 J. Lond. Math. Soc., II. Ser. 46, No. 2, 205-227 (1992). Reviewer: M.Jarden (Tel Aviv) MSC: 12E25 20E05 20E18 PDF BibTeX XML Cite \textit{M. Jarden} and \textit{A. Lubotzky}, J. Lond. Math. Soc., II. Ser. 46, No. 2, 205--227 (1992; Zbl 0724.12005) Full Text: DOI
Fein, Burton; Saltman, David J.; Schacher, Murray Brauer-Hilbertian fields. (English) Zbl 0767.12003 Trans. Am. Math. Soc. 334, No. 2, 915-928 (1992). Reviewer: H.Pop (Los Angeles) MSC: 12E15 12E25 14F22 16K20 12G05 PDF BibTeX XML Cite \textit{B. Fein} et al., Trans. Am. Math. Soc. 334, No. 2, 915--928 (1992; Zbl 0767.12003) Full Text: DOI
Fried, Michael D.; Völklein, Helmut The embedding problem over a Hilbertian PAC-field. (English) Zbl 0765.12002 Ann. Math. (2) 135, No. 3, 469-481 (1992). Reviewer: G.Pestov (Tomsk) MSC: 12E25 12F10 PDF BibTeX XML Cite \textit{M. D. Fried} and \textit{H. Völklein}, Ann. Math. (2) 135, No. 3, 469--481 (1992; Zbl 0765.12002) Full Text: DOI
Serre, Jean-Pierre Topics in Galois theory. Notes written by Henri Darmon. (English) Zbl 0746.12001 Research Notes in Mathematics. 1. Boston, MA etc.: Jones and Bartlett Publishers. xvi, 117 p. (1992). Reviewer: Hans Opolka (Braunschweig) MSC: 12-01 11-01 12F12 11R32 12E25 11N35 20D08 20D06 20F29 PDF BibTeX XML Cite \textit{J.-P. Serre}, Topics in Galois theory. Notes written by Henri Darmon. Boston, MA etc.: Jones and Bartlett Publishers (1992; Zbl 0746.12001)
Scheiderer, Claus Some remarks on orderings under finite field extensions. (English) Zbl 0745.12002 Pac. J. Math. 152, No. 1, 175-185 (1992). Reviewer: A.Sładek (Katowice) MSC: 12D15 12E25 12J15 PDF BibTeX XML Cite \textit{C. Scheiderer}, Pac. J. Math. 152, No. 1, 175--185 (1992; Zbl 0745.12002) Full Text: DOI
Haran, D.; Jarden, M. Compositum of Galois extensions of Hilbertian fields. (English) Zbl 0755.12001 Ann. Sci. Éc. Norm. Supér. (4) 24, No. 6, 739-748 (1991). Reviewer: Ph.Schultz (Nedlands) MSC: 12E25 PDF BibTeX XML Cite \textit{D. Haran} and \textit{M. Jarden}, Ann. Sci. Éc. Norm. Supér. (4) 24, No. 6, 739--748 (1991; Zbl 0755.12001) Full Text: DOI Numdam EuDML
Jarden, Moshe Intersections of local algebraic extensions of a Hilbertian field. (English) Zbl 0737.12001 Generators and relations in groups and geometries, Proc. NATO/ASI, Castelvecchio-Pascoli/Italy 1990, NATO ASI Ser., Ser. C 333, 343-405 (1991). Reviewer: G.Pestov (Tomsk) MSC: 12F10 12J10 12E25 43A05 PDF BibTeX XML
Matzat, B. Heinrich Frattini-Einbettungsprobleme über Hilbertkörpern. (Frattini embedding problems over Hilbert fields). (German) Zbl 0739.12001 Manuscr. Math. 70, No. 4, 429-439 (1991). Reviewer: J.Brinkhuis (Rotterdam) MSC: 12F10 12F12 12E25 PDF BibTeX XML Cite \textit{B. H. Matzat}, Manuscr. Math. 70, No. 4, 429--439 (1991; Zbl 0739.12001) Full Text: DOI EuDML
Geyer, Wulf-Dieter; Jarden, Moshe On stable fields in positive characteristic. (English) Zbl 0703.12006 Geom. Dedicata 29, No. 3, 335-375 (1989). Reviewer: C.U.Jensen MSC: 12F10 12F15 12F20 PDF BibTeX XML Cite \textit{W.-D. Geyer} and \textit{M. Jarden}, Geom. Dedicata 29, No. 3, 335--375 (1989; Zbl 0703.12006) Full Text: DOI
Krüskemper, Martin Algebraic systems of quadratic forms of number fields and function fields. (English) Zbl 0689.10027 Manuscr. Math. 65, No. 2, 225-243 (1989). Reviewer: Niels Schwartz (Passau) MSC: 11E04 11E16 11R58 PDF BibTeX XML Cite \textit{M. Krüskemper}, Manuscr. Math. 65, No. 2, 225--243 (1989; Zbl 0689.10027) Full Text: DOI EuDML
Jensen, Christian U.; Lenzing, Helmut Model theoretic algebra: with particular emphasis on fields, rings, modules. (English) Zbl 0728.03026 Algebra, Logic and Applications, 2. New York etc.: Gordon and Breach Science Publishers. xiii, 443 p. (1989). Reviewer: H.-J.Vogel (Potsdam) MSC: 03C60 03-02 12L12 13L05 16B70 03C20 12E05 12E25 13E05 13F05 PDF BibTeX XML Cite \textit{C. U. Jensen} and \textit{H. Lenzing}, Model theoretic algebra: with particular emphasis on fields, rings, modules. New York etc.: Gordon and Breach Science Publishers (1989; Zbl 0728.03026)
Geyer, Wulf-Dieter; Jarden, Moshe On the normalizer of finitely generated subgroups of absolute Galois groups of uncountable Hilbertian fields of characteristic 0. (English) Zbl 0667.12008 Isr. J. Math. 63, No. 3, 323-334 (1988). Reviewer: R.Weissauer MSC: 12F10 12E99 PDF BibTeX XML Cite \textit{W.-D. Geyer} and \textit{M. Jarden}, Isr. J. Math. 63, No. 3, 323--334 (1988; Zbl 0667.12008) Full Text: DOI
Odoni, R. W. K. Realising wreath products of cyclic groups as Galois groups. (English) Zbl 0662.12010 Mathematika 35, No. 1, 101-113 (1988). Reviewer: T.Soundararajan MSC: 11R32 12F10 20F29 20B25 PDF BibTeX XML Cite \textit{R. W. K. Odoni}, Mathematika 35, No. 1, 101--113 (1988; Zbl 0662.12010) Full Text: DOI
Krüskemper, Martin; Scharlau, Winfried On trace forms of Hilbertian fields. (English) Zbl 0662.10015 Comment. Math. Helv. 63, No. 2, 296-304 (1988). Reviewer: H.F.Kreimer MSC: 11E04 11E16 12F10 PDF BibTeX XML Cite \textit{M. Krüskemper} and \textit{W. Scharlau}, Comment. Math. Helv. 63, No. 2, 296--304 (1988; Zbl 0662.10015) Full Text: DOI EuDML
Scharlau, Winfried On trace forms of algebraic number fields. (English) Zbl 0658.10025 Math. Z. 196, 125-127 (1987). Reviewer: H.-J.Bartels MSC: 11E16 12D15 11E12 PDF BibTeX XML Cite \textit{W. Scharlau}, Math. Z. 196, 125--127 (1987; Zbl 0658.10025) Full Text: DOI EuDML
Yasumoto, Masahiro Nonstandard arithmetic of polynomial rings. (English) Zbl 0639.12002 Nagoya Math. J. 105, 33-37 (1987). Reviewer: N.Klingen MSC: 11R09 12L15 PDF BibTeX XML Cite \textit{M. Yasumoto}, Nagoya Math. J. 105, 33--37 (1987; Zbl 0639.12002) Full Text: DOI
Harbater, David Galois coverings of the arithmetic line. (English) Zbl 0627.12015 Number theory, Semin. New York 1984/85, Lect. Notes Math. 1240, 165-195 (1987). Reviewer: G.Tamme MSC: 12F10 14H30 20F29 13B05 11R32 PDF BibTeX XML
Roux, Bernard Structure des corps gauches locaux dont le corps résiduel est commutatif parfait de caractéristique \(p>0\). (Structure of local skew fields with perfect residue field of characteristic \(p>0)\). (French) Zbl 0616.12011 C. R. Acad. Sci., Paris, Sér. I 304, 275-278 (1987). Reviewer: A.Tschimmel-Faltings MSC: 12E15 13F30 16Kxx PDF BibTeX XML Cite \textit{B. Roux}, C. R. Acad. Sci., Paris, Sér. I 304, 275--278 (1987; Zbl 0616.12011)
Heintz, Joos On polynomials with symmetric Galois group which are easy to compute. (English) Zbl 0637.12013 Theor. Comput. Sci. 47, 99-105 (1986). Reviewer: Ş.A.Basarab MSC: 12E05 68Q25 12-04 12F10 PDF BibTeX XML Cite \textit{J. Heintz}, Theor. Comput. Sci. 47, 99--105 (1986; Zbl 0637.12013) Full Text: DOI
Fried, Michael D.; Jarden, Moshe Field arithmetic. (English) Zbl 0625.12001 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, Bd. 11. A series of Modern Surveys in Mathematics. Berlin etc.: Springer-Verlag. xvii, 458 p. DM 198.00 (1986). Reviewer: Rainer Weissauer (Mannheim) MSC: 12-02 12L15 03C60 12L12 12E30 12E25 03C10 03C20 14G05 12L05 03H15 PDF BibTeX XML
Chatzidakis, Zoé Some properties of the absolute Galois group of a Hilbertian field. (English) Zbl 0613.12017 Isr. J. Math. 55, 173-183 (1986). Reviewer: R.Weissauer MSC: 12F99 12F10 12F20 20B27 PDF BibTeX XML Cite \textit{Z. Chatzidakis}, Isr. J. Math. 55, 173--183 (1986; Zbl 0613.12017) Full Text: DOI
Waterhouse, W. C. Scaled trace forms over number fields. (English) Zbl 0607.10013 Arch. Math. 47, 229-231 (1986). Reviewer: N.Vila MSC: 11E12 12F99 PDF BibTeX XML Cite \textit{W. C. Waterhouse}, Arch. Math. 47, 229--231 (1986; Zbl 0607.10013) Full Text: DOI