Results 11 to 20 of about 10,375,970 (302)
Gauss Congruences in Algebraic Number Fields [PDF]
Annales Mathematicae Silesianae, 2022 In this miniature note we generalize the classical Gauss congruences for integers to rings of integers in algebraic number fields.
Gładki Paweł, Pulikowski Mateusz
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A Survey of Lattice-Based Physical-Layer Security for Wireless Systems with <i>p</i>-Modular Lattice Constructions. [PDF]
Entropy (Basel)Physical-layer security (PLS) provides an information-theoretic framework for securing wireless communications by exploiting channel and signal-structure asymmetries, thereby avoiding reliance on computational hardness assumptions.
Khodaiemehr H +5 more
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On Validated Computing in Algebraic Number Fields [PDF]
Journal of Symbolic Computation, 1997 The author considers the use of decimal approximations (rather than integer arithmetic) in number field computations required (say) for finding units, e.g., divisibility of two numbers in an order and finding numbers with given norm. The LLL-algorithm is useful in ensuring scaled matrices for the basis (and conjugates).
MICHAEL E. POHST, POHST, MICHAEL E.
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Symmetry-Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies. [PDF]
Adv Sci (Weinh)A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Yang J +14 more
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Finiteness theorems for algebraic tori over function fields
Comptes Rendus. Mathématique, 2021 We present a number of finiteness results for algebraic tori (and, more generally, for algebraic groups with toric connected component) over two classes of fields: finitely generated fields and function fields of algebraic varieties over fields of type ...
Rapinchuk, Andrei S., Rapinchuk, Igor A.
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Mathematics, 2021 In this paper, we find some inequalities which involve Euler’s function, extended Euler’s function, the function τ, and the generalized function τ in algebraic number fields.
Nicuşor Minculete, Diana Savin
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About the Entropy of a Natural Number and a Type of the Entropy of an Ideal
Entropy, 2023 In this article, we find some properties of certain types of entropies of a natural number. We are studying a way of measuring the “disorder” of the divisors of a natural number. We compare two of the entropies H and H¯ defined for a natural number.
Nicuşor Minculete, Diana Savin
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Isomorphisms of algebraic number fields [PDF]
Journal de théorie des nombres de Bordeaux, 2012 Let ℚ ( α ) and ℚ (
Mark van Hoeij, Vivek Pal
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Constructions of Dense Lattices of Full Diversity
Trends in Computational and Applied Mathematics, 2020 A lattice construction using Z-submodules of rings of integers of number fields is presented. The construction yields rotated versions of the laminated lattices A_n for n = 2,3,4,5,6, which are the densest lattices in their respective dimensions.
A. A. Andrade +3 more
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Some Properties of Extended Euler’s Function and Extended Dedekind’s Function
Mathematics, 2020 In this paper, we find some properties of Euler’s function and Dedekind’s function. We also generalize these results, from an algebraic point of view, for extended Euler’s function and extended Dedekind’s function, in algebraic number fields ...
Nicuşor Minculete, Diana Savin
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