Results 301 to 310 of about 1,802,873 (349)

Testing Quantum Satisfiability. [PDF]

open access: yesCommun Math Phys
Montanaro A, Shao C, Verdon D, Verdon D.
europepmc   +1 more source

Embeddability of quadratic extensions in cyclic extensions

Forum Mathematicum, 2007
Summary: For an algebraic number field \(K\) we study the quadratic extensions of \(K\) which can be embedded in a cyclic extension of \(K\) of degree \(2^n\) for all natural numbers \(n\), as well as the quadratic extensions which can be embedded in an infinite normal extension with the additive group \(\mathbb Z_2=\lim_{\leftarrow}\mathbb Z/2^n ...
Geyer, W.-D., Jensen, Chr Ulrik
openaire   +3 more sources

Gauss bounds of quadratic extensions

open access: yesPublicationes Mathematicae Debrecen, 1997
The author gives a very simple proof for the known theorem: ``Let \(K={{\mathbb Q}}(\sqrt{m})\) be a quadratic number field with ring of integers \({\mathbb Z}_K={\mathbb Z}[\omega]\) and discriminant \(\Delta,\) where \(\omega= \sqrt{m}\) if \(m\equiv 2\) or \(3 \pmod{4}\), \(\omega={(1+\sqrt{m}) / 2}\) if \(m\equiv 1 \pmod{4}\), \(\Delta=4m\) if \(m ...
F. Lemmermeyer
openaire   +2 more sources

Quadratic Extensions of Skew Fields

Proceedings of the London Mathematical Society, 1961
P. Cohn
openaire   +3 more sources

Rank stability in quadratic extensions and Hilbert’s tenth problem for the ring of integers of a number field

Inventiones Mathematicae
We show that for any quadratic extension of number fields $K/F$ K /
L. Alpoge   +3 more
semanticscholar   +1 more source

Quadratic Programming as an Extension of Classical Quadratic Maximization

Management Science, 1960
The article describes a procedure to maximize a strictly concave quadratic function subject to linear constraints in the form of inequalities. First the unconstrained maximum is considered; when certain constraints are violated, maximization takes place subject to each of these in equational (rather than inequality) form.
H. Theil, C. Van De Panne
openaire   +2 more sources

Quadratic Field Extensions

1999
To complete this lab, you should be familiar with the construction of quotient rings of the ring of polynomials over a field F. You should also be familiar with irreducible polynomials over a field. This lab does not presume any other prior knowledge of field extensions. Doing Ring Lab 10 first would be helpful, but it is not necessary.
Allen C. Hibbard, Kenneth M. Levasseur
openaire   +1 more source

On quadratic forms over inseparable quadratic extensions

Archiv der Mathematik, 1994
The author discusses quadratic forms under inseparable quadratic extensions \(K=k (\sqrt{d})\), where \(\text{char } k=2\). He proves the following theorem that is sharper than that conjectured by \textit{R. Baeza} [Math. Z. 135, 175-184 (1974; Zbl 0263.15015)], namely, if \(q\) is a non- singular anisotropic \(k\)-form of dimension \(4m\) or \(4m+2 ...
openaire   +1 more source

Values at s = −1 of L‐functions for multi‐quadratic extensions of number fields and annihilation of the tame kernel

, 2006
Suppose that ℰ is a totally real number field which is the composite of all of its subfields E that are relative quadratic extensions of a base field F. For each such E with a ring of integers 𝒪E, assume the truth of the 2‐primary part of the Birch–Tate ...
J. Sands, Lloyd D. Simons
semanticscholar   +1 more source

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