Results 81 to 90 of about 2,325,357 (271)
, 1965 Here $A_{-1}$ , the residue of $\zeta_{K}(s)$ at $s=1$ , was determined by Dirichlet and Dedekind for any algebraic number field $K$. However, little is known about the constant term $A_{0}$ , in spite of its importance. As far as the author knows, $A_{0}
Shuji Konno
semanticscholar +1 more source
On the semigroup of ideal classes in an order of an algebraic number field
, 1961 There is a natural link between classes of ideals in orders of algebraic number fields and similarity classes of integral matrices defined by unimodular matrices.
E. Dade, O. Taussky, H. Zassenhaus
semanticscholar +1 more source
The Genus Field and Genus Number in Algebraic Number Fields [PDF]
Nagoya Mathematical Journal, 1967 Let k be an algebraic number field and K be its normal extension of finite degree. Then the genus field K* of K over k is defined as the maximal unramified extension of K which is obtained from K by composing an abelian extension over k2). We call the degree (K*: K) the genus number of K over k.
openaire +3 more sources
Anosov Lie algebras and algebraic units in number fields [PDF]
Monatshefte für Mathematik, 2010 12 pages, few changes and change in proof of proposition 2, to appear in Monatshefte f\"ur ...
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Ordinary reduction of K3 surfaces
, 2009 Let X be a K3 surface over a number field K. We prove that there exists a finite algebraic field extension L/K such that X has ordinary reduction at every non-archimedean place of L outside a density zero set of places.Comment: 7 ...
Bogomolov, Fedor A., Zarhin, Yuri G.
core +2 more sources
Helly dimension of algebraic groups
, 2009 It is shown that for a linear algebraic group G over a field of characteristic zero, there is a natural number \kappa(G) such that if a system of Zariski closed cosets in G has empty intersection, then there is a subsystem consisting of at most \kappa(G)
Domokos, M., Szabó, E.
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Propulsion and Power Research, 2021 Time-dependent viscous fluid flow due to a stretchable rotating disk is investigated. Magnetic field is applied in vertical direction to the disk. Temperature equation is assisted with Joule heating effect.
Salman Ahmad +4 more
doaj
Units in arithmetic progression in an algebraic number field
, 1974 It is shown that a given algebraic number field of degree n ?4 over the rationals can contain at most n units in arithmetic progression, and that this bound is sharp.
M. Newman
semanticscholar +1 more source
A Power Associative Loop Structure for the Construction of Non-Linear Components of Block Cipher
IEEE Access, 2020 In the symmetric key cryptography, the purpose of the substitution box is to generate confusion and hence improve the security of the whole cryptosystem.
Sadam Hussain +3 more
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Computational efficiency for the surface renewal method [PDF]
Atmospheric Measurement Techniques, 2018 Measuring surface fluxes using the surface renewal (SR) method requires programmatic algorithms for tabulation, algebraic calculation, and data quality control.
J. Kelley, C. Higgins
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