Results 11 to 20 of about 508,252 (212)

Higher Degree Hilbert Symbol Equivalence of Algebraic Number Fields, II

Journal of Number Theory, 1998
[For part I see Number Theory, Tatra Mt. Math. Publ. 11, 77-88 (1997).] Deux corps de nombres, contenant les racines \(n\)-ièmes de l'unité (où \(n\geq 1\)) sont dits \(n\)-Hilbert equivalents lorsqu'il existe un isomorphisme entre leur groupe de torsion respectif, qui conserve les symboles de Hilbert de hauteur \(n\).
Alfred Czogała
exaly   +4 more sources

A lifting formula for the Hilbert symbol [PDF]

Proceedings of the American Mathematical Society, 1973
The Hilbert symbol in an extension field is expressed in terms of norms, traces and Hilbert symbols in the ground field.
E. Bender
semanticscholar   +4 more sources

The Weil pairing and the Hilbert symbol [PDF]

Mathematische Annalen, 1996
Let \(C\) be a curve over a field \(k\), and suppose \(D\) and \(E\) are degree-zero divisors on \(C\) that represent \(m\)-torsion points on the Jacobian \(J\) of \(C\), so that \(mD= \text{div } f\) and \(mE=\text{div } g\) for some functions \(f\) and \(g\) on \(C\).
Everett W Howe, Howe Everett W
exaly   +5 more sources

The Hilbert symbol in the Hodge standard conjecture [PDF]

Commentarii Mathematici Helvetici, 2022
We study the Hodge standard conjecture for varieties over finite fields admitting a CM lifting, such as abelian varieties or products of K3 surfaces. For those varieties we show that the signature predicted by the conjecture holds true modulo 4 ...
Giuseppe Ancona, Adriano Marmora
semanticscholar   +4 more sources

Berezin symbol and invertibility of operators on the functional Hilbert spaces

Journal of Functional Analysis, 2006
Let \(H(\Omega)\) be a reproducing kernel Hilbert space over a nonempty set \(\Omega\) and let \(\widetilde{A}\) denote the Berezin symbol of a bounded linear operator \(A\) on \(H(\Omega)\). Assume that \(| \widetilde{A}(z)| \geq\delta\) for all \(z\in\Omega\) and some \(\delta>0\). Two problems are considered. Problem 1.
Karaev, Mubariz T.
exaly   +5 more sources

The Field of Norms Functor and the Hilbert Symbol [PDF]

, 2010
The classical Hilbert symbol of a higher local field $F$ containing a primitive $p^M$-th root of unity $\zeta_M$ is a pairing $F^*/(F^*)^{p^M}\times K_N(F)/p^M \to \mu_{p^M}$, describing Kummer extensions of exponent $p^M$.
V. Abrashkin, R. Jenni
semanticscholar   +3 more sources

Cohomological characterization of the Hilbert symbol over Q*p [PDF]

Journal of the Australian Mathematical Society, 2005
[EN]The aim of this work is to offer a new characterization of the Hilbert symbol Q*p from the commutator of a certain central extension of groups.
F. Romo
semanticscholar   +2 more sources

Increasing the symbol rate in QAM system using a new set of orthonormal basics functions

Journal of Electrical Systems and Information Technology, 2018
This paper proposes a new technique to increase the symbol rate in Quadrature Amplitude Modulation (QAM) using a new set of orthonormal functions. The proposed technique increases the rate of QAM symbols without increasing the bandwidth of the modulated ...
A.Y. Hassan
doaj   +2 more sources

Equivalence of the Symbol Grounding and Quantum System Identification Problems

Information, 2014
The symbol grounding problem is the problem of specifying a semantics for the representations employed by a physical symbol system in a way that is neither circular nor regressive.
Chris Fields
doaj   +2 more sources

An explicit formula for the Hilbert symbol of a formal group [PDF]

, 2008
Abrashkin established the Bruckner-Vostokov formula for the Hilbert symbol of a formal group under the assumption that roots of unity belong to the base field. The main motivation of this work is to remove this hypothesis.
F. T. Ribeiro
semanticscholar   +2 more sources