Results 151 to 160 of about 16,932,162 (348)
Galois Group of the Maximal Abelian Extension over an Algebraic Number Field
T. Kubota
semanticscholar +1 more source
Sequences of Residues in Algebraic Number Fields
Let \(K\) be an algebraic number field of degree \(d\) over the rationals. \(\Lambda_ K(n,m)\) denotes the least positive number such that for almost all prime ideals \(\mathfrak p\) of \(K\) there exists an integer \(\alpha\) and a unit \(u\) in \(K\) with the property that \(\alpha,\alpha + u,\dots,\alpha + (m - 1)u\) are all \(n\)-th power residues \
openaire +2 more sources
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
Algebraic number fields with the discriminant equal to that of a quadratic number field
Takeshi Kondo
semanticscholar +1 more source
Transcendental entire functions mapping every algebraic number field into itself
A. J. van der Poorten
semanticscholar +1 more source
ABSTRACT Inspired by insights gleaned from biomimicry theory, this paper addresses the persistent lack of theoretically grounded research in sustainable supply chain management (SSCM) and examines how nature‐inspired biomimicry principles could enhance various dimensions of its competitiveness. This study's theoretical contribution lies in its proposal
Susana Garrido +4 more
wiley +1 more source
A physics‐informed machine learning approach successfully decodes the complex catalytic activity of high‐entropy alloys for ammonia oxidation. By revealing a synergistic mechanism involving lattice and electronic couplings, the study identifies a superior “isolated‐surrounded” platinum motif.
Shangfeng Jiang +5 more
wiley +1 more source
Background. Based on the conducted study of developments in the field of functional architecture of cluster computing systems, the relevance of work in this direction is shown, which is due to the increasing demand for affordable high-performance ...
G.V. Petushkov, A.S. Sigov
doaj +1 more source
On the representation of−1 as a sum of two squares in an algebraic number field
B. Fein, B. Gordon, J. Smith
semanticscholar +1 more source
The Computation of Polynomial Greatest Common Divisors Over an Algebraic Number Field
Lars Langemyr, Scott McCallum
semanticscholar +1 more source

