Pazuki, Fabien; Pengo, Riccardo On the Northcott property for special values of \(L\)-functions. (English) Zbl 07810703 Rev. Mat. Iberoam. 40, No. 1, 1-42 (2024). MSC: 11G40 11G50 14K05 11F67 PDFBibTeX XMLCite \textit{F. Pazuki} and \textit{R. Pengo}, Rev. Mat. Iberoam. 40, No. 1, 1--42 (2024; Zbl 07810703) Full Text: DOI arXiv
Kartas, Konstantinos Decidability via the tilting correspondence. (English) Zbl 07805418 Algebra Number Theory 18, No. 2, 209-248 (2024). MSC: 11U05 11U09 PDFBibTeX XMLCite \textit{K. Kartas}, Algebra Number Theory 18, No. 2, 209--248 (2024; Zbl 07805418) Full Text: DOI arXiv
Springer, Caleb Definability and decidability for rings of integers in totally imaginary fields. (English) Zbl 07798515 Bull. Lond. Math. Soc. 56, No. 1, 306-318 (2024). MSC: 11R04 11R80 11U05 12L05 PDFBibTeX XMLCite \textit{C. Springer}, Bull. Lond. Math. Soc. 56, No. 1, 306--318 (2024; Zbl 07798515) Full Text: DOI arXiv OA License
Legrand, François On Galois extensions of division rings of Laurent series. (English) Zbl 1526.12001 J. Pure Appl. Algebra 228, No. 2, Article ID 107466, 18 p. (2024). Reviewer: El Hassane Fliouet (Agadir) MSC: 12E15 12F12 PDFBibTeX XMLCite \textit{F. Legrand}, J. Pure Appl. Algebra 228, No. 2, Article ID 107466, 18 p. (2024; Zbl 1526.12001) Full Text: DOI
Eisenträger, Kirsten; Miller, Russell; Springer, Caleb; Westrick, Linda A topological approach to undefinability in algebraic extensions of \(\mathbb{Q}\). (English) Zbl 07808886 Bull. Symb. Log. 29, No. 4, 626-655 (2023). MSC: 03C57 12L05 11U05 03C40 03D45 PDFBibTeX XMLCite \textit{K. Eisenträger} et al., Bull. Symb. Log. 29, No. 4, 626--655 (2023; Zbl 07808886) Full Text: DOI arXiv OA License
Widmer, Martin On the Northcott property for infinite extensions. (English) Zbl 07789343 Essent. Number Theory 2, No. 1, 1-14 (2023). MSC: 11G50 11R04 11R06 11R20 37P30 PDFBibTeX XMLCite \textit{M. Widmer}, Essent. Number Theory 2, No. 1, 1--14 (2023; Zbl 07789343) Full Text: DOI arXiv
Anscombe, Sylvy; Dittmann, Philip; Fehm, Arno Axiomatizing the existential theory of \(\mathbb{F}_q((t))\). (English) Zbl 07783172 Algebra Number Theory 17, No. 11, 2013-2032 (2023). MSC: 03C60 11D88 11G25 12L05 PDFBibTeX XMLCite \textit{S. Anscombe} et al., Algebra Number Theory 17, No. 11, 2013--2032 (2023; Zbl 07783172) Full Text: DOI arXiv
Bary-Soroker, Lior; Fehm, Arno; Petersen, Sebastian Ramified covers of abelian varieties over torsion fields. (English) Zbl 07771195 J. Reine Angew. Math. 805, 185-211 (2023). MSC: 11G10 14G05 PDFBibTeX XMLCite \textit{L. Bary-Soroker} et al., J. Reine Angew. Math. 805, 185--211 (2023; Zbl 07771195) Full Text: DOI arXiv
Johnson, Will; Walsberg, Erik; Ye, Jinhe The étale open topology over the fraction field of a Henselian local domain. (English) Zbl 07747092 Math. Nachr. 296, No. 5, 1928-1937 (2023). MSC: 12E30 14G27 PDFBibTeX XMLCite \textit{W. Johnson} et al., Math. Nachr. 296, No. 5, 1928--1937 (2023; Zbl 07747092) Full Text: DOI arXiv OA License
Touchard, Pierre Burden in Henselian valued fields. (English) Zbl 07741121 Ann. Pure Appl. Logic 174, No. 10, Article ID 103318, 61 p. (2023). MSC: 03C45 03C60 12J10 PDFBibTeX XMLCite \textit{P. Touchard}, Ann. Pure Appl. Logic 174, No. 10, Article ID 103318, 61 p. (2023; Zbl 07741121) Full Text: DOI arXiv
Krapp, Lothar Sebastian; Kuhlmann, Salma; Link, Moritz Definability of Henselian valuations by conditions on the value group. (English) Zbl 07735945 J. Symb. Log. 88, No. 3, 1064-1082 (2023). MSC: 03C40 03C64 12J10 12L12 12J25 13J15 PDFBibTeX XMLCite \textit{L. S. Krapp} et al., J. Symb. Log. 88, No. 3, 1064--1082 (2023; Zbl 07735945) Full Text: DOI arXiv
Dittmann, Philip; Jahnke, Franziska; Krapp, Lothar Sebastian; Kuhlmann, Salma Definable valuations on ordered fields. (English) Zbl 07721466 Model Theory 2, No. 1, 101-120 (2023). Reviewer: Assaf Hasson (Be’er Sheva) MSC: 13A18 03C64 12J20 12L12 13F25 13J30 PDFBibTeX XMLCite \textit{P. Dittmann} et al., Model Theory 2, No. 1, 101--120 (2023; Zbl 07721466) Full Text: DOI arXiv
Prasad, Gorekh Height of algebraic units under splitting conditions. (English) Zbl 07715954 Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 16, 9 p. (2023). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11G50 11S15 PDFBibTeX XMLCite \textit{G. Prasad}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 16, 9 p. (2023; Zbl 07715954) Full Text: DOI
Kartas, Konstantinos Diophantine problems over tamely ramified fields. (English) Zbl 1515.11121 J. Algebra 617, 127-159 (2023). Reviewer: Alexandra Shlapentokh (Greenville) MSC: 11U05 03C60 PDFBibTeX XMLCite \textit{K. Kartas}, J. Algebra 617, 127--159 (2023; Zbl 1515.11121) Full Text: DOI arXiv
Kartas, Konstantinos An undecidability result for the asymptotic theory of \(p\)-adic fields. (English) Zbl 1516.12002 Ann. Pure Appl. Logic 174, No. 2, Article ID 103203, 13 p. (2023). Reviewer: Xavier Vidaux (Concepción) MSC: 12L05 12J10 03C60 03D35 PDFBibTeX XMLCite \textit{K. Kartas}, Ann. Pure Appl. Logic 174, No. 2, Article ID 103203, 13 p. (2023; Zbl 1516.12002) Full Text: DOI arXiv
Walsberg, Erik; Ye, Jinhe Éz fields. (English) Zbl 1521.03091 J. Algebra 614, 611-649 (2023). Reviewer: Vahagn Aslanyan (Manchester) MSC: 03C60 12L12 PDFBibTeX XMLCite \textit{E. Walsberg} and \textit{J. Ye}, J. Algebra 614, 611--649 (2023; Zbl 1521.03091) Full Text: DOI arXiv
Pazuki, Fabien; Technau, Niclas; Widmer, Martin Northcott numbers for the house and the Weil height. (English) Zbl 07738392 Bull. Lond. Math. Soc. 54, No. 5, 1873-1897 (2022). MSC: 11G50 11R04 PDFBibTeX XMLCite \textit{F. Pazuki} et al., Bull. Lond. Math. Soc. 54, No. 5, 1873--1897 (2022; Zbl 07738392) Full Text: DOI arXiv
Bugeaud, Yann (ed.); Corvaja, Pietro (ed.); DeMarco, Laura (ed.); Habegger, Philipp (ed.) Diophantine approximations. Abstracts from the workshop held April 17–23, 2022. (Diophantische Approximationen.) (English) Zbl 1519.00014 Oberwolfach Rep. 19, No. 2, 1091-1164 (2022). MSC: 00B05 00B25 11-06 11Jxx 11Gxx 37P55 PDFBibTeX XMLCite \textit{Y. Bugeaud} (ed.) et al., Oberwolfach Rep. 19, No. 2, 1091--1164 (2022; Zbl 1519.00014) Full Text: DOI
Luger, Cedric The Hilbert property for arithmetic schemes. (English) Zbl 1502.14057 Acta Arith. 206, No. 2, 115-126 (2022). MSC: 14G05 14G40 PDFBibTeX XMLCite \textit{C. Luger}, Acta Arith. 206, No. 2, 115--126 (2022; Zbl 1502.14057) Full Text: DOI arXiv
Walsberg, Erik Topological proofs of results on large fields. (English) Zbl 1520.12002 C. R., Math., Acad. Sci. Paris 360, 1187-1192 (2022). MSC: 12E30 14F20 14G27 PDFBibTeX XMLCite \textit{E. Walsberg}, C. R., Math., Acad. Sci. Paris 360, 1187--1192 (2022; Zbl 1520.12002) Full Text: DOI arXiv
Corvaja, Pietro; Demeio, Julian Lawrence; Javanpeykar, Ariyan; Lombardo, Davide; Zannier, Umberto On the distribution of rational points on ramified covers of abelian varieties. (English) Zbl 1506.14048 Compos. Math. 158, No. 11, 2109-2155 (2022). Reviewer: Ana María Botero (Regensburg) MSC: 14G05 11G35 11G10 14K15 PDFBibTeX XMLCite \textit{P. Corvaja} et al., Compos. Math. 158, No. 11, 2109--2155 (2022; Zbl 1506.14048) Full Text: DOI arXiv
Fehm, Arno; Legrand, François A note on finite embedding problems with nilpotent kernel. (English. French summary) Zbl 07607142 J. Théor. Nombres Bordx. 34, No. 2, 549-562 (2022). MSC: 12F12 12E30 11R32 12E15 11R52 PDFBibTeX XMLCite \textit{A. Fehm} and \textit{F. Legrand}, J. Théor. Nombres Bordx. 34, No. 2, 549--562 (2022; Zbl 07607142) Full Text: DOI arXiv
David, Chantal; Devin, Lucile; Nam, Jungbae; Schlitt, Jeremy Lemke Oliver and Soundararajan bias for consecutive sums of two squares. (English) Zbl 1514.11057 Math. Ann. 384, No. 3-4, 1181-1242 (2022). Reviewer: Prapanpong Pongsriiam (Nakhon Pathom) MSC: 11N25 11N69 11P55 PDFBibTeX XMLCite \textit{C. David} et al., Math. Ann. 384, No. 3--4, 1181--1242 (2022; Zbl 1514.11057) Full Text: DOI arXiv Backlinks: MO
Martínez-Ranero, Carlos; Utreras, Javier; Vidaux, Xavier Existential decidability for addition and divisibility in holomorphy subrings of global fields. (English) Zbl 1512.11096 J. Number Theory 241, 504-530 (2022). Reviewer: Alexandra Shlapentokh (Greenville) MSC: 11U05 03B25 PDFBibTeX XMLCite \textit{C. Martínez-Ranero} et al., J. Number Theory 241, 504--530 (2022; Zbl 1512.11096) Full Text: DOI arXiv
Legrand, François On a variant of the Beckmann-Black problem. (English) Zbl 1521.12004 Proc. Am. Math. Soc. 150, No. 8, 3267-3281 (2022). MSC: 12F12 20B25 12E15 PDFBibTeX XMLCite \textit{F. Legrand}, Proc. Am. Math. Soc. 150, No. 8, 3267--3281 (2022; Zbl 1521.12004) Full Text: DOI arXiv
Mello, Jorge; Sha, Min On the properties of Northcott and Narkiewicz for elliptic curves. (English) Zbl 1503.11089 Int. J. Number Theory 18, No. 10, 2129-2144 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G05 11G50 PDFBibTeX XMLCite \textit{J. Mello} and \textit{M. Sha}, Int. J. Number Theory 18, No. 10, 2129--2144 (2022; Zbl 1503.11089) 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 PDFBibTeX XMLCite \textit{L. Pottmeyer}, Res. Number Theory 8, No. 3, Paper No. 60, 10 p. (2022; Zbl 1501.37095) Full Text: DOI arXiv
Behajaina, Angelot; Deschamps, Bruno; Legrand, François Finite embedding problems over noncommutative fields. (Problèmes de plongement finis sur les corps non commutatifs.) (French. English summary) Zbl 07571693 Isr. J. Math. 249, No. 2, 617-650 (2022). Reviewer: Giulio Peruginelli (Padova) MSC: 16K40 12F12 PDFBibTeX XMLCite \textit{A. Behajaina} et al., Isr. J. Math. 249, No. 2, 617--650 (2022; Zbl 07571693) Full Text: DOI
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
Checcoli, S.; Fehm, A. Constructing totally \(p\)-adic numbers of small height. (English) Zbl 1493.11102 Int. J. Number Theory 18, No. 3, 501-514 (2022). Reviewer: Elira Curri (Vlorë) MSC: 11G50 11S15 11R06 PDFBibTeX XMLCite \textit{S. Checcoli} and \textit{A. Fehm}, Int. J. Number Theory 18, No. 3, 501--514 (2022; Zbl 1493.11102) Full Text: DOI arXiv
Hochfilzer, Leonhard Variance of sums in short intervals and \(L\)-functions in \(\mathbb{F}_q [t]\). (English) Zbl 1501.11107 J. Number Theory 236, 188-213 (2022). Reviewer: Neranga Fernando (Worcester) MSC: 11T55 11M50 11M38 PDFBibTeX XMLCite \textit{L. Hochfilzer}, J. Number Theory 236, 188--213 (2022; Zbl 1501.11107) 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
Krapp, Lothar Sebastian; Kuhlmann, Salma; Lehéricy, Gabriel Ordered fields dense in their real closure and definable convex valuations. (English) Zbl 1521.12009 Forum Math. 33, No. 4, 953-972 (2021). Reviewer: Pablo Cubides Kovacsics (Bogotá) MSC: 12J15 03C64 06F20 12J10 PDFBibTeX XMLCite \textit{L. S. Krapp} et al., Forum Math. 33, No. 4, 953--972 (2021; Zbl 1521.12009) Full Text: DOI arXiv
Dittmann, Philip; Fehm, Arno Nondefinability of rings of integers in most algebraic fields. (English) Zbl 1486.12009 Notre Dame J. Formal Logic 62, No. 3, 589-592 (2021). Reviewer: Piotr Kowalski (Wroclaw) MSC: 12L12 11U09 PDFBibTeX XMLCite \textit{P. Dittmann} and \textit{A. Fehm}, Notre Dame J. Formal Logic 62, No. 3, 589--592 (2021; Zbl 1486.12009) Full Text: DOI arXiv
Gorodetsky, Ofir; Rodgers, Brad The variance of the number of sums of two squares in \(\mathbb{F}_q[T]\) in short intervals. (English) Zbl 1503.11140 Am. J. Math. 143, No. 6, 1703-1745 (2021). Reviewer: Maciej Radziejewski (Poznań) MSC: 11R59 11K65 PDFBibTeX XMLCite \textit{O. Gorodetsky} and \textit{B. Rodgers}, Am. J. Math. 143, No. 6, 1703--1745 (2021; Zbl 1503.11140) Full Text: DOI arXiv
Dèbes, Pierre; König, Joachim; Legrand, François; Neftin, Danny Rational pullbacks of Galois covers. (English) Zbl 1480.14011 Math. Z. 299, No. 3-4, 1507-1531 (2021). Reviewer: Noriko Yui (Kingston) MSC: 14E22 12F12 11R58 14E20 12E30 11Gxx PDFBibTeX XMLCite \textit{P. Dèbes} et al., Math. Z. 299, No. 3--4, 1507--1531 (2021; Zbl 1480.14011) Full Text: DOI arXiv
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Pop, Florian Large fields in differential Galois theory. (English) Zbl 1481.12007 J. Inst. Math. Jussieu 20, No. 6, 1931-1946 (2021). Reviewer: Andreas Maurischat (Aachen) MSC: 12H05 12E30 20G15 12F12 14H25 PDFBibTeX XMLCite \textit{A. Bachmayr} et al., J. Inst. Math. Jussieu 20, No. 6, 1931--1946 (2021; Zbl 1481.12007) Full Text: DOI arXiv
Entin, Alexei Factorization statistics of restricted polynomial specializations over large finite fields. (English) Zbl 1473.11213 Isr. J. Math. 242, No. 1, 37-53 (2021). MSC: 11R58 11R45 PDFBibTeX XMLCite \textit{A. Entin}, Isr. J. Math. 242, No. 1, 37--53 (2021; Zbl 1473.11213) Full Text: DOI arXiv
Anscombe, Sylvy; Dittmann, Philip; Fehm, Arno Denseness results in the theory of algebraic fields. (English) Zbl 1498.03083 Ann. Pure Appl. Logic 172, No. 8, Article ID 102973, 20 p. (2021). Reviewer: Piotr Kowalski (Wroclaw) MSC: 03C60 12L12 12J12 12J15 PDFBibTeX XMLCite \textit{S. Anscombe} et al., Ann. Pure Appl. Logic 172, No. 8, Article ID 102973, 20 p. (2021; Zbl 1498.03083) Full Text: DOI arXiv
Dèbes, Pierre; König, Joachim; Legrand, François; Neftin, Danny On parametric and generic polynomials with one parameter. (English) Zbl 1472.12003 J. Pure Appl. Algebra 225, No. 10, Article ID 106717, 18 p. (2021). MSC: 12F12 11R58 11G05 12E30 PDFBibTeX XMLCite \textit{P. Dèbes} et al., J. Pure Appl. Algebra 225, No. 10, Article ID 106717, 18 p. (2021; Zbl 1472.12003) Full Text: DOI arXiv
Javanpeykar, Ariyan Rational points and ramified covers of products of two elliptic curves. (English) Zbl 1468.14054 Acta Arith. 198, No. 3, 275-287 (2021). Reviewer: Ljudmila Kamenova (New York) MSC: 14G99 11G35 14G05 32Q45 PDFBibTeX XMLCite \textit{A. Javanpeykar}, Acta Arith. 198, No. 3, 275--287 (2021; Zbl 1468.14054) Full Text: DOI arXiv
Checcoli, S.; Fehm, A. On the Northcott property and local degrees. (English) Zbl 1470.11269 Proc. Am. Math. Soc. 149, No. 6, 2403-2414 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11G50 12E30 11R32 12F05 PDFBibTeX XMLCite \textit{S. Checcoli} and \textit{A. Fehm}, Proc. Am. Math. Soc. 149, No. 6, 2403--2414 (2021; Zbl 1470.11269) Full Text: DOI arXiv
Behajaina, Angelot Inverse Galois theory over fields of twisted rational fractions. (Théorie inverse de Galois sur les corps des fractions rationnelles tordus.) (French. English summary) Zbl 1473.12002 J. Pure Appl. Algebra 225, No. 4, Article ID 106549, 10 p. (2021). Reviewer: El Hassane Fliouet (Agadir) MSC: 12E15 12F12 PDFBibTeX XMLCite \textit{A. Behajaina}, J. Pure Appl. Algebra 225, No. 4, Article ID 106549, 10 p. (2021; Zbl 1473.12002) Full Text: DOI arXiv
Darnière, Luck; Tressl, Marcus Defining integer-valued functions in rings of continuous definable functions over a topological field. (English) Zbl 1486.03063 J. Math. Log. 20, No. 3, Article ID 2050014, 24 p. (2020). MSC: 03C60 03C64 12L12 12J10 12J15 PDFBibTeX XMLCite \textit{L. Darnière} and \textit{M. Tressl}, J. Math. Log. 20, No. 3, Article ID 2050014, 24 p. (2020; Zbl 1486.03063) 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 PDFBibTeX XMLCite \textit{B. Mazur} and \textit{K. Rubin}, Proc. Am. Math. Soc., Ser. B 7, 159--169 (2020; Zbl 1468.11218) Full Text: DOI arXiv
Matei, Vlad A geometric approach to counting norms in cyclic extensions of function fields. (English) Zbl 1460.11141 Res. Math. Sci. 7, No. 4, Paper No. 31, 17 p. (2020). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 11T55 PDFBibTeX XMLCite \textit{V. Matei}, Res. Math. Sci. 7, No. 4, Paper No. 31, 17 p. (2020; Zbl 1460.11141) Full Text: DOI arXiv Backlinks: MO
Alon, Gil; Legrand, François; Paran, Elad Galois groups over rational function fields over skew fields. (English. French summary) Zbl 1477.12001 C. R., Math., Acad. Sci. Paris 358, No. 7, 785-790 (2020). Reviewer: El Hassane Fliouet (Agadir) MSC: 12F12 12E15 PDFBibTeX XMLCite \textit{G. Alon} et al., C. R., Math., Acad. Sci. Paris 358, No. 7, 785--790 (2020; Zbl 1477.12001) Full Text: DOI arXiv
Anscombe, Sylvy; Dittmann, Philip; Fehm, Arno Approximation theorems for spaces of localities. (English) Zbl 1493.12011 Math. Z. 296, No. 3-4, 1471-1499 (2020). MSC: 12J10 12J15 13A18 13F30 PDFBibTeX XMLCite \textit{S. Anscombe} et al., Math. Z. 296, No. 3--4, 1471--1499 (2020; Zbl 1493.12011) Full Text: DOI arXiv
Demeio, Julian Lawrence Non-rational varieties with the Hilbert property. (English) Zbl 1457.14051 Int. J. Number Theory 16, No. 4, 803-822 (2020). Reviewer: David McKinnon (Waterloo) MSC: 14G05 11D25 14M20 14J27 14J28 PDFBibTeX XMLCite \textit{J. L. Demeio}, Int. J. Number Theory 16, No. 4, 803--822 (2020; Zbl 1457.14051) 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
Deschamps, Bruno; Legrand, François Inverse Galois problem over the skew field of rational fractions with central indeterminate. (Le problème inverse de Galois sur les corps des fractions tordus à indéterminée centrale.) (French. English summary) Zbl 1480.12004 J. Pure Appl. Algebra 224, No. 5, Article ID 106240, 13 p. (2020). Reviewer: Lhoussain El Fadil (Fès) MSC: 12F12 12E15 PDFBibTeX XMLCite \textit{B. Deschamps} and \textit{F. Legrand}, J. Pure Appl. Algebra 224, No. 5, Article ID 106240, 13 p. (2020; Zbl 1480.12004) Full Text: DOI arXiv
Bary-Soroker, Lior; Gorodetsky, Ofir; Karidi, Taelin; Sawin, Will Chebotarev density theorem in short intervals for extensions of \(\mathbb{F}_q(T)\). (English) Zbl 1460.11145 Trans. Am. Math. Soc. 373, No. 1, 597-628 (2020). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11T55 11N05 11S20 PDFBibTeX XMLCite \textit{L. Bary-Soroker} et al., Trans. Am. Math. Soc. 373, No. 1, 597--628 (2020; Zbl 1460.11145) Full Text: DOI arXiv
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
Drappeau, Sary; Topacogullari, Berke Combinatorial identities and Titchmarsh’s divisor problem for multiplicative functions. (English) Zbl 1472.11252 Algebra Number Theory 13, No. 10, 2383-2425 (2019). MSC: 11N37 11N25 PDFBibTeX XMLCite \textit{S. Drappeau} and \textit{B. Topacogullari}, Algebra Number Theory 13, No. 10, 2383--2425 (2019; Zbl 1472.11252) Full Text: DOI arXiv
Bary-Soroker, Lior; Stix, Jakob Cubic twin prime polynomials are counted by a modular form. (English) Zbl 1460.11146 Can. J. Math. 71, No. 6, 1323-1350 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11T55 11G25 11N05 PDFBibTeX XMLCite \textit{L. Bary-Soroker} and \textit{J. Stix}, Can. J. Math. 71, No. 6, 1323--1350 (2019; Zbl 1460.11146) Full Text: DOI arXiv
Jarden, Moshe; Razon, Aharon Strong approximation theorem for absolutely irreducible varieties over the compositum of all symmetric extensions of a global field. (English) Zbl 1439.12008 Glasg. Math. J. 61, No. 2, 373-380 (2019). MSC: 12F10 11F80 12E30 PDFBibTeX XMLCite \textit{M. Jarden} and \textit{A. Razon}, Glasg. Math. J. 61, No. 2, 373--380 (2019; Zbl 1439.12008) Full Text: DOI
Rapinchuk, Igor A. A generalization of Serre’s condition (F) with applications to the finiteness of unramified cohomology. (English) Zbl 1443.12003 Math. Z. 291, No. 1-2, 199-213 (2019). MSC: 12G05 14F20 PDFBibTeX XMLCite \textit{I. A. Rapinchuk}, Math. Z. 291, No. 1--2, 199--213 (2019; Zbl 1443.12003) Full Text: DOI arXiv
Grochow, Joshua A. New applications of the polynomial method: the cap set conjecture and beyond. (English) Zbl 1434.11033 Bull. Am. Math. Soc., New Ser. 56, No. 1, 29-64 (2019). MSC: 11B25 51E22 PDFBibTeX XMLCite \textit{J. A. Grochow}, Bull. Am. Math. Soc., New Ser. 56, No. 1, 29--64 (2019; Zbl 1434.11033) Full Text: DOI Backlinks: MO
Anscombe, Sylvy Existentially generated subfields of large fields. (English) Zbl 1431.12009 J. Algebra 517, 78-94 (2019). MSC: 12L12 03C60 12J10 PDFBibTeX XMLCite \textit{S. Anscombe}, J. Algebra 517, 78--94 (2019; Zbl 1431.12009) Full Text: DOI arXiv Link
Anscombe, Sylvy; Jahnke, Franziska Henselianity in the language of rings. (English) Zbl 1428.03058 Ann. Pure Appl. Logic 169, No. 9, 872-895 (2018). Reviewer: Allen Gehret (Los Angeles) MSC: 03C60 12L12 12J10 12J25 03C40 PDFBibTeX XMLCite \textit{S. Anscombe} and \textit{F. Jahnke}, Ann. Pure Appl. Logic 169, No. 9, 872--895 (2018; Zbl 1428.03058) Full Text: DOI arXiv Link
Dupont, Katharina Definable valuations induced by definable subgroups. (English) Zbl 1436.03197 Droste, Manfred (ed.) et al., Groups, modules, and model theory – surveys and recent developments. In Memory of Rüdiger Göbel. Proceedings of the conference on new pathways between group theory and model theory, Mülheim an der Ruhr, Germany, February 1–4, 2016. Cham: Springer. 83-108 (2017). MSC: 03C60 03C40 12J10 12L12 PDFBibTeX XMLCite \textit{K. Dupont}, in: Groups, modules, and model theory -- surveys and recent developments. In Memory of Rüdiger Göbel. Proceedings of the conference on new pathways between group theory and model theory, Mülheim an der Ruhr, Germany, February 1--4, 2016. Cham: Springer. 83--108 (2017; Zbl 1436.03197) Full Text: DOI arXiv
Fehm, Arno; Jahnke, Franziska Recent progress on definability of Henselian valuations. (English) Zbl 1388.12012 Broglia, Fabrizio (ed.) et al., Ordered algebraic structures and related topics. International conference at CIRM, Luminy, France, October 12–16, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2966-9/pbk; 978-1-4704-4222-4/ebook). Contemporary Mathematics 697, 135-143 (2017). MSC: 12J10 12L12 03C60 12E30 PDFBibTeX XMLCite \textit{A. Fehm} and \textit{F. Jahnke}, Contemp. Math. 697, 135--143 (2017; Zbl 1388.12012) Full Text: DOI arXiv
Helbig, Patrick On small profinite groups. (English) Zbl 1421.20012 J. Group Theory 20, No. 5, 987-997 (2017). Reviewer: Pavel Zalesskij (Brasília) MSC: 20E18 20E07 PDFBibTeX XMLCite \textit{P. Helbig}, J. Group Theory 20, No. 5, 987--997 (2017; Zbl 1421.20012) 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
Jarden, Moshe; Poonen, Bjorn Galois points on varieties. (English) Zbl 1425.11132 J. Ramanujan Math. Soc. 31, No. 2, 189-194 (2016). MSC: 11G35 12E30 14G05 12F05 PDFBibTeX XMLCite \textit{M. Jarden} and \textit{B. Poonen}, J. Ramanujan Math. Soc. 31, No. 2, 189--194 (2016; Zbl 1425.11132) Full Text: Link
Kosters, Michiel Images of polynomial maps on ample fields. (English) Zbl 1393.12011 Funct. Approximatio, Comment. Math. 55, No. 1, 23-30 (2016). MSC: 12J10 11R58 PDFBibTeX XMLCite \textit{M. Kosters}, Funct. Approximatio, Comment. Math. 55, No. 1, 23--30 (2016; Zbl 1393.12011) Full Text: DOI Euclid
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
Halupczok, Immanuel; Jahnke, Franziska A definable Henselian valuation with high quantifier complexity. (English) Zbl 1372.03076 Math. Log. Q. 61, No. 4-5, 362-366 (2015). MSC: 03C60 12L12 12J10 03C40 PDFBibTeX XMLCite \textit{I. Halupczok} and \textit{F. Jahnke}, Math. Log. Q. 61, No. 4--5, 362--366 (2015; Zbl 1372.03076) Full Text: DOI arXiv Link
Fehm, Arno; Jahnke, Franziska On the quantifier complexity of definable canonical Henselian valuations. (English) Zbl 1372.03075 Math. Log. Q. 61, No. 4-5, 347-361 (2015). MSC: 03C60 03C40 12L12 12J10 PDFBibTeX XMLCite \textit{A. Fehm} and \textit{F. Jahnke}, Math. Log. Q. 61, No. 4--5, 347--361 (2015; Zbl 1372.03075) Full Text: DOI arXiv
Fehm, Arno; Prestel, Alexander Uniform definability of henselian valuation rings in the Macintyre language. (English) Zbl 1366.12004 Bull. Lond. Math. Soc. 47, No. 4, 693-703 (2015). Reviewer: Gerard Leloup (Le Mans) MSC: 12L12 12J12 PDFBibTeX XMLCite \textit{A. Fehm} and \textit{A. Prestel}, Bull. Lond. Math. Soc. 47, No. 4, 693--703 (2015; Zbl 1366.12004) Full Text: DOI arXiv
Fehm, Arno Existential \(\emptyset\)-definability of Henselian valuation rings. (English) Zbl 1372.03074 J. Symb. Log. 80, No. 1, 301-307 (2015). MSC: 03C60 03C40 12J10 12L12 PDFBibTeX XMLCite \textit{A. Fehm}, J. Symb. Log. 80, No. 1, 301--307 (2015; Zbl 1372.03074) Full Text: DOI arXiv
Krupiński, Krzysztof Superrosy fields and valuations. (English) Zbl 1372.03079 Ann. Pure Appl. Logic 166, No. 3, 342-357 (2015). MSC: 03C60 03C45 12J10 12L12 PDFBibTeX XMLCite \textit{K. Krupiński}, Ann. Pure Appl. Logic 166, No. 3, 342--357 (2015; Zbl 1372.03079) Full Text: DOI arXiv
Fehm, Arno; Paran, Elad Split embedding problems over the open arithmetic disc. (English) Zbl 1345.12001 Trans. Am. Math. Soc. 366, No. 7, 3535-3551 (2014). MSC: 12E30 12F12 13J05 PDFBibTeX XMLCite \textit{A. Fehm} and \textit{E. Paran}, Trans. Am. Math. Soc. 366, No. 7, 3535--3551 (2014; Zbl 1345.12001) Full Text: DOI arXiv
Fehm, Arno Elementary geometric local-global principles for fields. (English) Zbl 1367.12001 Ann. Pure Appl. Logic 164, No. 10, 989-1008 (2013). MSC: 12E30 12L12 14G05 12J12 03C10 11R80 11U09 PDFBibTeX XMLCite \textit{A. Fehm}, Ann. Pure Appl. Logic 164, No. 10, 989--1008 (2013; Zbl 1367.12001) 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
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
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
Fehm, Arno Embeddings of function fields into ample fields. (English) Zbl 1261.12005 Manuscr. Math. 134, No. 3-4, 533-544 (2011). Reviewer: Sudesh Kaur Khanduja (Mohali) MSC: 12E30 14H05 PDFBibTeX XMLCite \textit{A. Fehm}, Manuscr. Math. 134, No. 3--4, 533--544 (2011; Zbl 1261.12005) Full Text: DOI
Fehm, Arno Subfields of ample fields. Rational maps and definability. (English) Zbl 1258.14028 J. Algebra 323, No. 6, 1738-1744 (2010). Reviewer: Luc Bélair (Montréal) MSC: 14G05 14H25 12L12 PDFBibTeX XMLCite \textit{A. Fehm}, J. Algebra 323, No. 6, 1738--1744 (2010; Zbl 1258.14028) Full Text: DOI arXiv