Results 61 to 70 of about 387,244 (233)

Short Principal Ideal Problem in multicubic fields

Journal of Mathematical Cryptology, 2020
One family of candidates to build a post-quantum cryptosystem upon relies on euclidean lattices. In order to make such cryptosystems more efficient, one can consider special lattices with an additional algebraic structure such as ideal lattices.
Lesavourey Andrea, Plantard Thomas, Susilo Willy   +2 more
doaj   +1 more source

New decidable fields of algebraic numbers [PDF]

Proceedings of the American Mathematical Society, 1979
A formally real field of algebraic numbers is constructed which has decidable elementary theory and does not have a real closed or p-adically closed subfield.
openaire   +2 more sources

The algebraic moments of vorticity. Theory and numerical tests

Computer Assisted Methods in Engineering and Science, 2023
The paper presents the method of algebraic vorticity moments. It may be used to solve problems of viscous liquid motion in 2-D and 3-D cases. Its essence lies in the integration of a set of ordinary differentia equations.
Robert Bresiński, Andrzej Styczek
doaj  

Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic [PDF]

, 2020
WonTae Hwang
openalex   +1 more source

Multilayer tube impedance and external radiation

Physical Review Special Topics. Accelerators and Beams, 2008
The paper describes a method for calculating the longitudinal and transverse impedances of the laminated round pipe with many layers of different materials. The charge is moving along the pipe axis with arbitrary constant velocity.
M. Ivanyan, E. Laziev, V. Tsakanov, A. Vardanyan, S. Heifets, A. Tsakanian   +5 more
doaj   +1 more source

Discrete Cartesian Coordinate Transformations: Using Algebraic Extension Methods

Applied Sciences
It is shown that it is reasonable to use Galois fields, including those obtained by algebraic extensions, to describe the position of a point in a discrete Cartesian coordinate system in many cases. This approach is applicable to any problem in which the
Aruzhan Kadyrzhan, Dinara Matrassulova, Yelizaveta Vitulyova, Ibragim Suleimenov   +3 more
doaj   +1 more source

On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices

Abstract and Applied Analysis, 2014
Circulant matrices have important applications in solving various differential equations. The level-k scaled factor circulant matrix over any field is introduced.
Zhaolin Jiang
doaj   +1 more source

Linear Independence of 𝑞-Logarithms over the Eisenstein Integers

International Journal of Mathematics and Mathematical Sciences, 2010
For fixed complex 𝑞 with |𝑞|>1, the 𝑞-logarithm 𝐿𝑞 is the meromorphic continuation of the series ∑𝑛>0𝑧𝑛/(𝑞𝑛−1),|𝑧|1,𝑐≠𝑞,𝑞2,𝑞3,…. In 2004, Tachiya showed that this is true in the Subcase 𝐾=ℚ, 𝑞∈ℤ, 𝑐=−1, and the present authors extended this result to ...
Peter Bundschuh, Keijo Väänänen
doaj   +1 more source

Let's forget about the pairing

Moldavian Journal of the Physical Sciences, 2014
The algebraic formulation of a Wick's theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed.
Belousov, Igor
doaj  

Multi-terminal thermoelectric transport in a magnetic field: bounds on Onsager coefficients and efficiency

New Journal of Physics, 2013
Thermoelectric transport involving an arbitrary number of terminals is discussed in the presence of a magnetic field breaking time-reversal symmetry within the linear response regime using the Landauer–Büttiker formalism.
Kay Brandner, Udo Seifert
doaj   +1 more source