Results 21 to 30 of about 7,576 (262)
On quadratic Ostrowski extensions of imaginary quadratic fields
The Ramanujan Journal, 2022 Abstract In this paper we discuss an analogue of Hilbert’s theorems 105 and106, i.e. a re-interpretation of Gauss’ “genus theory”, for imaginary quadratic fields of class number one. We explicitly compute all biquadratic fields whose ambiguous ideal classes over an imaginary quadratic field of class number one are principal.
Naroui, Razieh, Rajaei, Ali
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Combinatorics on Finite Fields: the Sign Repartition for the Quadratic Residues
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In the present paper we present the equivalence between the combinatorial determination of the sign repartition for the quadratic residues and non-residues to the computation of the class number of certain quadratic extensions of the field of rationals.
Bărcănescu Şerban
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First-Degree Prime Ideals of Biquadratic Fields Dividing Prescribed Principal Ideals
Mathematics, 2020 We describe first-degree prime ideals of biquadratic extensions in terms of the first-degree prime ideals of two underlying quadratic fields. The identification of the prime divisors is given by numerical conditions involving their ideal norms.
Giordano Santilli, Daniele Taufer
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Quadratic subfields on quartic extensions of local fields
International Journal of Mathematics and Mathematical Sciences, 1988 We show that any quartic extension of a local field of odd residue characteristic must contain an intermediate field. A consequence of this is that local fields of odd residue characteristic do not have extensions with Galois group A4 or S4 ...
Joe Repka
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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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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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Distinguished Representations for Quadratic Extensions [PDF]
Compositio Mathematica, 1999 Let K be a quadratic extension of a field k which is either local field or a finite field. Let G be an algebraic group over k. The aim of the present paper is to understand when a representation of G(K) has a G(k) invariant linear form. We are able to accomplish this in the case when G is the group of invertible elements of a division algebra over k of
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Leading nonlinear tidal effects and scattering amplitudes
Journal of High Energy Physics, 2021 We present the two-body Hamiltonian and associated eikonal phase, to leading post-Minkowskian order, for infinitely many tidal deformations described by operators with arbitrary powers of the curvature tensor.
Zvi Bern +4 more
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Extensions, crossed modules and pseudo quadratic Lie type superalgebras
Extracta Mathematicae, 2022 Extensions and crossed modules of Lie type superalgebras are introduced and studied. We construct homology and cohomology theories of Lie-type superalgebras.
M. Pouye, B. Kpamegan
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Quadratic Covariation and an Extension of Itô's Formula [PDF]
Bernoulli, 1995 Let \(X\) be a standard Brownian motion and \(F\) an absolutely continuous function with locally square integrable derivative \(f\). The main result is the generalization of Itô's formula: \[ F(X_t) = F(0) + \int^t_0 f(X_s) dX_s + (1/2) \bigl[ f(X), X \bigr ]_t.
Hans Föllmer +3 more
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