Found 317 Documents (Results 1–100)
Totally positive field extensions and the Pythagorean index. (English) Zbl 1535.12001
Reviewer: Detlev Hoffmann (Dortmund)
Northcott property and universality of higher degree forms. arXiv:2407.19974
Preprint, arXiv:2407.19974 [math.NT] (2024).
Effective density for inhomogeneous quadratic forms. II: Fixed forms and generic shifts. (English) Zbl 1540.11089
Reviewer: Symon Serbenyuk (Kyïv)
Paths of rectangles inscribed in lines over fields. (English) Zbl 1515.51015
Reviewer: Hans Havlicek (Wien)
A comparison of finiteness conditions in quadratic form theory. arXiv:2303.06485
Preprint, arXiv:2303.06485 [math.NT] (2023).
Real algebra. A first course. Translated from the German and with contributions by Thomas Unger. (English) Zbl 1505.13001
Universitext. Cham: Springer (ISBN 978-3-031-09799-7/pbk; 978-3-031-09800-0/ebook). xi, 206 p. (2022).
Reviewer: Tim Netzer (Innsbruck)
Supreme torsion forms. (English) Zbl 1497.11097
Reviewer: Stefan Gille (Edmonton)
Effective density for inhomogeneous quadratic forms. I: Generic forms and fixed shifts. (English) Zbl 1507.11060
Reviewer: Ranjeet Sehmi (Chandigarh)
On pairs of quadratic forms in five variables. (English) Zbl 1493.11072
Reviewer: Yong Zhang (Changsha)
The \(\mathcal{S}\)-cone and a primal-dual view on second-order representability. (English) Zbl 1471.90111
The conic geometry of rectangles inscribed in lines. (English) Zbl 1462.51015
Reviewer: Victor V. Pambuccian (Glendale)
Salem numbers and arithmetic hyperbolic groups. (English) Zbl 1461.11057
Reviewer: Artūras Dubickas (Vilnius)
Positive-definite ternary quadratic forms which are \((4,1)\)-universal and \((4,3)\)-universal. (English) Zbl 1444.11053
MSC:
11E10
Weakly hyperbolic involutions. (English) Zbl 1441.11073
Algebraic lattice in a metric space lattices. (Russian. English summary) Zbl 1434.11090
A remark on positive definite quadratic forms and rational points. (Eine Bemerkung über positiv definite quadratische Formen und rationale Punkte.) (German) Zbl 1387.11028
Reviewer: Robert Fitzgerald (Carbondale)
Lie bialgebras, fields of cohomological dimension at most 2 and Hilbert’s seventeenth problem. (English) Zbl 1415.17018
Unique minimal forcing sets and forced representation of integers by quadratic forms. (English) Zbl 1398.11067
A note on the pp conjecture for sheaves of spaces of orderings. (English) Zbl 1396.11060
Reviewer: Detlev Hoffmann (Dortmund)
On quotients of the space of orderings of the field \(\mathbb Q(x)\). (English) Zbl 1375.11037
Gładki, Paweł (ed.) et al., Algebra, logic and number theory. Proceedings of the 3rd joint conferences on algebra, logic and number theory, Bȩdlewo, Poland, June 8–13, 2014. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-31-7/pbk). Banach Center Publications 108, 63-84 (2016).
Reviewer: Detlev Hoffmann (Dortmund)
Real and \(p\)-adic Picard-Vessiot fields. (English) Zbl 1344.34096
Reviewer: Vladimir P. Kostov (Nice)
An introduction to flows on homogeneous spaces. (English) Zbl 1360.22014
Aravinda, C. S. (ed.) et al., Geometry, groups and dynamics. ICTS program: groups, geometry and dynamics, Almora, India, December 3–16, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9882-6/pbk; 978-1-4704-2343-8/ebook). Contemporary Mathematics 639, 85-102 (2015).
On point-local deformations of minimal extensions of non-serial Dynkin diagrams. (English) Zbl 1340.11047
Quadratic zonotopes. An extension of zonotopes to quadratic arithmetics. (English) Zbl 1329.68073
Feng, Xinyu (ed.) et al., Programming languages and systems. 13th Asian symposium, APLAS 2015, Pohang, South Korea, November 30 – December 2, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-26528-5/pbk; 978-3-319-26529-2/ebook). Lecture Notes in Computer Science 9458, 127-145 (2015).
On the real zeros of positive semidefinite biquadratic forms. (English) Zbl 1318.14055
Reviewer: Albrecht Pfister (Mainz)
Quotients of index two and general quotients in a space of orderings. (English) Zbl 1379.11033
Reviewer: Detlev Hoffmann (Dortmund)
On some higher degree sign-definite multivariate polynomials associated with definite quadratic forms. arXiv:1507.05056
Preprint, arXiv:1507.05056 [math.AG] (2015).
The weak isotropy of quadratic forms over field extensions. (English) Zbl 1319.11021
Reviewer: Martin Epkenhans (Münster)
Sums of squares in algebraic function fields over a complete discretely valued field. (English) Zbl 1300.11029
Reviewer: Kazimierz Szymiczek (Tychy)
Purity for Pfister forms and \(F_4\)-torsors with trivial \(g_3\) invariant. (English) Zbl 1285.14048
Real fields, valuations, and quadratic forms. (English) Zbl 1348.11029
Reviewer: Detlev Hoffmann (Dortmund)
The Boolean and profinite hulls of reduced special groups. (English) Zbl 1272.11053
Reviewer: Detlev Hoffmann (Dortmund)
Sums of values represented by a quadratic form. (English) Zbl 1336.11027
Reviewer: Detlev Hoffmann (Dortmund)
Isomorphism criteria for Witt rings of real fields. (English) Zbl 1278.11042
Reviewer: Paweł Gładki (Katowice)
The unicity of real Picard-Vessiot fields. arXiv:1302.1012
Preprint, arXiv:1302.1012 [math.AC] (2013).
Diophantine inequalities and quasi-algebraically closed fields. (English) Zbl 1308.11043
Reviewer: Scott T. Parsell (West Chester)
Orderings and signatures of higher level on multirings and hyperfields. (English) Zbl 1270.12003
Reviewer: Kazimierz Szymiczek (Katowice)
On profinite spaces of orderings. (English) Zbl 1270.11036
Reviewer: Detlev Hoffmann (Dortmund)
Symbol length and stability index. (English) Zbl 1260.11025
Reviewer: Detlev Hoffmann (Dortmund)
Witt morphisms. (English. German, Polish summaries) Zbl 1257.11039
Reviewer: Detlev Hoffmann (Dortmund)
From sex to quadratic forms. (English) Zbl 1318.11050
Schleicher, Dierk (ed.) et al., An invitation to mathematics. From competitions to research. With a preface by Günter M. Ziegler. Berlin: Springer (ISBN 978-3-642-19532-7/pbk; 978-3-642-19533-4/ebook). 21-41 (2011).
Principal indefinite quadratic forms and singular curves over finite fields. (English) Zbl 1265.11068
Reduction theory of point clusters in projective space. (English) Zbl 1242.11027
Reviewer: Roland Quême (Brax)
The length and other invariants of a real field. (English) Zbl 1260.11026
Reviewer: Detlev Hoffmann (Dortmund)
Orderings of higher level in multifields and multirings. (English) Zbl 1260.12004
Reviewer: Kazimierz Szymiczek (Katowice)
Affine maps, Euclidean motions and quadrics. (English) Zbl 1222.51001
Springer Undergraduate Mathematics Series. Berlin: Springer (ISBN 978-0-85729-709-9/pbk; 978-0-85729-710-5/ebook). xx, 411 p. (2011).
Reviewer: Rolf Riesinger (Wien)
Realizing profinite reduced special groups. (English) Zbl 1229.11064
Reviewer: Detlev Hoffmann (Dortmund)
The profinite hull of special groups and local-global principles. (English) Zbl 1229.11065
Reviewer: Detlev Hoffmann (Dortmund)
The circle method and pairs of quadratic forms. (English) Zbl 1223.11037
Reviewer: Florin Nicolae (Berlin)
Dimensions of anisotropic indefinite quadratic forms. II. (English) Zbl 1231.11045
Reviewer: Robert Fitzgerald (Carbondale)
Indefinite quadratic forms and the invariance of the interval in special relativity. (English) Zbl 1204.83010
On cycles and products of ideals and corresponding indefinite quadratic forms. (English) Zbl 1255.11018
Reviewer: Kazimierz Szymiczek (Katowice)
Noncoercive sums of squares in \(\mathbb R[x_1,\ldots ,x_n]\). (English) Zbl 1272.12005
Reviewer: Niels Schwartz (Passau)
Dimensions of anisotropic indefinite quadratic forms II — The lost proofs. arXiv:1004.2483
Preprint, arXiv:1004.2483 [math.RA] (2010).
Invariant ring of Clifford-Weil group, and Jacobi forms over totally real field. (English) Zbl 1270.11050
Rodier, François (ed.) et al., Arithmetics, geometry and coding theory (AGCT 2005). Papers of the conference held at CIRM, Marseilles, France, September 26–30, 2005. Paris: Société Mathématique de France (ISBN 978-2-85629-279-2/pbk). Séminaires et Congrès 21, 1-16 (2009).
Complexity and algorithms for computing Voronoi cells of lattices. (English) Zbl 1215.11067
Reviewer: Roland Quême (Brax)
On families of testing formulae for a pp formula. (English) Zbl 1241.11042
Baeza, Ricardo (ed.) et al., Quadratic forms – algebra, arithmetic, and geometry. Based on the international conference on the algebraic and arithmetic theory of quadratic forms, Frutillar, Chile, December 13–19, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4648-3/pbk). Contemporary Mathematics 493, 181-188 (2009).
Reviewer: Andrzej Sładek (Katowice)
Pythagoras numbers and quadratic field extensions. (English) Zbl 1238.11049
Baeza, Ricardo (ed.) et al., Quadratic forms – algebra, arithmetic, and geometry. Based on the international conference on the algebraic and arithmetic theory of quadratic forms, Frutillar, Chile, December 13–19, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4648-3/pbk). Contemporary Mathematics 493, 21-28 (2009).
Reviewer: Detlev Hoffmann (Dortmund)
Ideal structure of Clifford algebras. (English) Zbl 1177.15030
Reviewer: Roland Lötscher (Basel)
The distance between superspecial abelian varieties with real multiplication. (English) Zbl 1203.14047
Reviewer: Christian Pierre (Louvain-la-Neuve)
Perfect forms over totally real number fields. arXiv:0908.3130
Preprint, arXiv:0908.3130 [math.NT] (2009).
Note on conic bundles over Henselian discrete valued fields with real closed residue field. (English) Zbl 1175.16012
Reviewer: Jean-Pierre E. Tignol (Louvain-La-Neuve)
A generalization of Witt’s theorem and Sylvester’s law of nullity. (English) Zbl 1166.11014
Reviewer: Roland Lötscher (Basel)
Universal forms over \(\mathbb Q(\sqrt{5})\). (English) Zbl 1178.11035
Reviewer: Ahmet Tekcan (Bursa)
An explicit construction of initial perfect quadratic forms over some families of totally real number fields. (English) Zbl 1205.11043
van der Poorten, Alfred J. (ed.) et al., Algorithmic number theory. 8th international symposium, ANTS-VIII Banff, Canada, May 17–22, 2008 Proceedings. Berlin: Springer (ISBN 978-3-540-79455-4/pbk). Lecture Notes in Computer Science 5011, 240-252 (2008).
MSC:
11E10
Decomposability for division algebras of exponent two and associated forms. (English) Zbl 1238.11048
The pp conjecture for the space of orderings of the field \(\mathbb R(x,y)\). (English) Zbl 1215.11038
Graded quaternion symbol equivalence of function fields. (English) Zbl 1190.11029
Reviewer: Florin Nicolae (Berlin)
Approaches to values at integers of binary quadratic forms. (Points de vue sur les valeurs aux entiers des formes quadratiques binaires.) (French) Zbl 1173.11019
Berline, Nicole (ed.) et al., Sur la dynamique des groupes de matrices et applications arithmétiques. Palaiseau: Les Éditions de l’École Polytechnique (ISBN 978-2-7302-1418-6/pbk). Journées Mathématiques X-UPS, 7-45 (2007).
Reviewer: Meinhard Peters (Münster)
On binary quadratic forms with the semigroup property. (English) Zbl 1173.11018
Proc. Steklov Inst. Math. 258, 23-43 (2007) and Tr. Mat. Inst. Steklova 258, 28-48 (2007).
Reviewer: Ranjeet Sehmi (Chandigarh)
Schur subspace of real symmetric forms and application. (Chinese. English summary) Zbl 1131.14315
Voronoï’s contribution to modern number theory. (English) Zbl 1146.11001
Reviewer: Franz Lemmermeyer (Jagstzell)
Goldbach’s ternary problem involving prime numbers expressible by given quadratic forms. (English. Russian original) Zbl 1183.11061
Math. Notes 81, No. 2, 172-182 (2007); translation from Mat. Zametki 81, No. 2, 193-204 (2006).
Reviewer: Koichi Kawada (Morioka)
\(\Omega\)-algebras over Henselian discrete valued fields with real closed residue field. (English) Zbl 1134.16006
Reviewer: Detlev Hoffmann (Nottingham)
Going up of the \(u\)-invariant over formally real fields. (English) Zbl 1183.11019
Reviewer: Andrzej Sładek (Katowice)
The pp conjecture for spaces of orderings of rational conics. (English) Zbl 1113.11024
Reviewer: Andrzej Sładek (Katowice)
Polynomials over ordered fields. (English) Zbl 1111.12001
Reviewer: María Jesús de la Puente (Madrid)
On splitting the Knebusch-Milnor exact sequence. (English) Zbl 1158.11019
Reviewer: Alfred Czogała (Katowice)
On singular modular forms for principal congruence subgroups. (English) Zbl 1148.11022
Reviewer: Bernhard Heim (Bonn)
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