Results 11 to 20 of about 1,802,873 (349)
The size function for quadratic extensions of complex quadratic fields [PDF]
Journal de théorie des nombres de Bordeaux, 2017 The function h 0 for a number field is an analogue of the dimension of the Riemann–Roch spaces of divisors on an algebraic curve. In this paper, we prove the conjecture of van der Geer and Schoof about the maximality of h 0 at the trivial Arakelov divisor for quadratic extensions of complex quadratic fields.
Tran Nguyen Thanh, Ha
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Extensions of Gronwall's inequality with quadratic growth terms and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We obtain some new Gronwall type inequalities where, instead of linear growth assumptions, we allow quadratic (or more) growth provided some additional conditions are satisfied. Applications are made to both local and nonlocal boundary value problems for
Jeff Webb
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Supersimplicity and quadratic extensions [PDF]
Archive for Mathematical Logic, 2008 The paper deals with the algebraic characterization of supersimple fields. Pillay conjectured that such a field \(K\) is perfect, bounded and pseudo algebraically closed, and with Poizat proved both perfection and boundedness. Thus it remains to prove or disprove pseudo algebraic closedness, in other words that every absolutely irreducible plane curve ...
Martin-Pizarro, Amador +1 more
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Quadratic Extensions of Linearly Compact Fields [PDF]
Transactions of the American Mathematical Society, 1972 A group valuation is constructed on the norm factor group of a quadratic extension of a linearly compact field, and the norm factor group is explicitly computed as a valued group. Generalizations and applications of this structure theory are made to cyclic extensions of prime degree, to square (and pth power) factor groups, to generalized quaternion ...
Brown, Ron, Warner, Hoyt D.
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Quadratic Extensions of Flag-transitive Planes
European Journal of Combinatorics, 1999 A finite affine plane \(\pi\) of order \(q^2\) which has a subplane \(\pi_0\) of order \(q\) is called a quadratic extension of a flag-transitive plane if it admits a collineation group \(G\) which leaves \(\pi_0\) invariant, acts transitively on the flags of \(\pi_0\), and acts transitively on the lines of \(\pi\) intersecting \(\pi_0\) in precisely ...
Hiramine, Yutaka +2 more
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The group of quadratic extensions
Journal of Pure and Applied Algebra, 1972 AbstractIn §0 we recall the definition of the group in question. §§ 1–4 are devoted to computing it in terms of arithmetic invariants of the ground ring. The remaining sections collect some examples and applications to the Brauer-Wall group.
C. Small
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Quadratic extensions of totally real quintic fields [PDF]
Mathematics of Computation, 2000 Schehrazad Selmane
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Trims and extensions of quadratic APN functions [PDF]
Designs, Codes and Cryptography, 2021 In this work, we study functions that can be obtained by restricting a vectorial Boolean function F:F2n→F2n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Christof Beierle +2 more
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Normal bases for quadratic extensions [PDF]
Pacific Journal of Mathematics, 1974 C. Small
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On the class numbers of certain quadratic extensions [PDF]
, 1976 John Friedlander
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