Results 51 to 60 of about 1,203,239 (192)
Wave Transport and Localization in Prime Number Landscapes
Frontiers in Physics, 2021 In this paper, we study the wave transport and localization properties of novel aperiodic structures that manifest the intrinsic complexity of prime number distributions in imaginary quadratic fields.
Luca Dal Negro +4 more
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Vertex Algebras and Costello-Gwilliam Factorization Algebras [PDF]
arXiv, 2020 Vertex algebras and factorization algebras are two approaches to chiral conformal field theory. Costello and Gwilliam describe how every holomorphic factorization algebra on the plane of complex numbers satisfying certain assumptions gives rise to a Z-graded vertex algebra. They construct some models of chiral conformal theory as factorization algebras.
arxiv
Monogenity and Power Integral Bases: Recent Developments
AxiomsMonogenity is a classical area of algebraic number theory that continues to be actively researched. This paper collects the results obtained over the past few years in this area.
István Gaál
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Acoustic realization of projective mirror Chern insulators
Communications Physics, 2023 Symmetry plays a key role in classifying topological phases. Recent theory shows that in the presence of gauge fields, the algebraic structure of crystalline symmetries needs to be projectively represented, which brings extra chance for topological ...
Tianzi Li +3 more
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The $ω$-Lie algebra defined by the commutator of an $ω$-left-symmetric algebra is not perfect [PDF]
arXiv, 2022 In this paper, we study admissible $\omega$-left-symmetric algebraic structures on $\omega$-Lie algebras over the complex numbers field $\mathbb C$. Based on the classification of $\omega$-Lie algebras, we prove that any perfect $\omega$-Lie algebra can't be the $\omega$-Lie algebra defined by the commutator of an $\omega$-left-symmetric algebra.
arxiv
A counterexample to 'Algebraic function fields with small class number' [PDF]
, 2013 I give a counter example of function field over GF(2) of genus 4 with class number one.
Stirpe, Claudio
core
Polynomials Generating Maximal Real Subfields of Circular Fields [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 We have constructed recurrence formulas for polynomials qn(x) ɕ Q[x], any root of which generates the maximal real subfield of circular field K2n. It has been shown that all real subfields of fixed field K2n can be described by using polynomial qn(x) and
I.G. Galyautdinov, E.E. Lavrentyeva
doaj
MathematicsThe rational field Q is highly desired in many applications. Algorithms using the rational number field Q algebraic number fields use only integer arithmetics and are easy to implement.
Ran Lu
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Deformations of vector-scalar models
Journal of High Energy Physics, 2018 Abelian vector fields non-minimally coupled to uncharged scalar fields arise in many contexts. We investigate here through algebraic methods their consistent deformations (“gaugings”), i.e., the deformations that preserve the number (but not necessarily ...
Glenn Barnich +5 more
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Deterministic Algorithms for Solving Boolean Polynomial Equations Based on Channel Coding Theory
IEEE Access, 2020 Solving the satisfiability problems of Boolean polynomial equations is still an open challenge in the fields of mathematics and computer science.
Guangfu Wu +5 more
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