Results 21 to 30 of about 503 (178)

LARGE FIELDS IN DIFFERENTIAL GALOIS THEORY [PDF]

Journal of the Institute of Mathematics of Jussieu, 2020
AbstractWe solve the inverse differential Galois problem over differential fields with a large field of constants of infinite transcendence degree over $\mathbb{Q}$. More generally, we show that over such a field, every split differential embedding problem can be solved.
Annette Bachmayr, David Harbater, Julia Hartmann, Florian Pop   +3 more
openaire   +2 more sources

An Innovative Approach to Multi‐Valued Logic

IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.
The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
wiley   +1 more source

On Galois fields of certain types [PDF]

Transactions of the American Mathematical Society, 1930
Several writers have considered the relations between the c-functions of an algebraic field and some of its subfields. Thus Artint has, in a particular case, considered the question of the divisibility of the c-function of a field by that of a subfield. In another paperl he has shown how all possible c-relations can be found.
openaire   +1 more source

On the additive image of zeroth persistent homology

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann, Johan Steen   +3 more
wiley   +1 more source

MODULAR SYSTOLIC DIGITAL SIGNAL PROCESSOR WITH RECONFIGURING THE STRUCTURE

Вестник Северо-Кавказского федерального университета, 2022
Computational systolic model for orthogonal signal transformation in extended Galois GF(pv) fields based on polynomial system of residue classes is examined. Modular codes' ability to increase fault-tolerant characteristics is proven.
Igor Anatol’evich Kalmykov, Artem Bronislavovich Sarkisov, Ekaterina Mihaylovna Yakovleva, Maksim Igorevich Kalmikov   +3 more
doaj  

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

Hyperbolicity and fundamental groups of complex quasi‐projective varieties (III): Applications

Proceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.
Abstract This paper is Part III of a series of three. We begin by introducing the notion of h$h$‐special varieties, which can be seen as varieties “chain‐connected by the Zariski closures of entire curves.” We prove that if X$X$ is either a special smooth complex quasi‐projective variety in the sense of Campana or an h$h$‐special variety, then for any ...
Benoît Cadorel, Ya Deng, Katsutoshi Yamanoi   +2 more
wiley   +1 more source

Universal properties of Delannoy categories

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract Recently, Harman and Snowden introduced a new symmetric tensor category Perm̲(G,μ)$\operatorname{\underline{Perm}}(G, \mu)$ associated with an oligomorphic group G$G$ with a measure μ$\mu$. When G$G$ is the group of order‐preserving self‐bijections of the real line there are four such measures, and the resulting tensor categories are called ...
Kevin Coulembier, Nate Harman, Andrew Snowden   +2 more
wiley   +1 more source

Electronic Fourier–Galois Spectrum Analyzer for the Field GF(31)

Applied Sciences
A scheme for the Fourier–Galois spectrum analyzer for the field GF(31) is proposed. It is shown that this analyzer allows for solving a wide enough range of problems related to image processing, in particular those arising in the course of experimental ...
Kaisarali Kadyrzhan, Daulet Kaldybekov, Saltanat Baipakbaeva, Yelizaveta Vitulyova, Dinara Matrassulova, Ibragim Suleimenov   +5 more
doaj   +1 more source

Optimal bounds for local volumes of threefold singularities

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract We establish an optimal upper bound for local volumes of Gorenstein canonical non‐hypersurface threefold singularities. Specifically, we show that a klt threefold singularity with local volume at least 9 is either a hypersurface singularity or a quotient singularity.
Yuchen Liu
wiley   +1 more source