Results 71 to 80 of about 10,835,395 (273)

On algebraic approximations of certain algebraic numbers

Journal of Number Theory, 2003
AbstractUsing hypergeometric functions and the Thue–Siegel method we give an effective improvement of Liouville's approximation theorem. As an application, we derive effective upper bounds for the solutions (X,Y) of the two-parametric family of quartic Thue inequalities|BX4−AX3Y−6BX2Y2+AXY3+BY4|⩽Nfor A⩾58|B|3 or A⩾308B4.
openaire   +2 more sources

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  

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  

Effective Irrationality Measures and Approximation by Algebraic Conjugates

, 2010
In this paper, we present a result on using algebraic conjugates to form a sequence of approximations to an algebraic number, and in this way obtain effective irrationality measures for related algebraic numbers.
Voutier, Paul
core   +1 more source

Factoring Multivariate Polynomials over Algebraic Number Fields

SIAM journal on computing (Print), 1984
We present an algorithm to factor multivariate polynomials over algebraic number fields that is polynomial-time in the degrees of the polynomial to be factored.
A. Lenstra
semanticscholar   +1 more source

Normal ordering associated with λ-Stirling numbers inλ-Shift algebra [PDF]

arXiv, 2023
The Stirling numbers of the second kind are related to normal orderings in the Weyl algebra, while the unsigned Stirling numbers of the first kind are related to normal orderings in the shift algebra. Kim-Kim introduced a {\lambda}-analogue of the unsigned Stirling numbers of the first kind and that of the r-Stirling numbers of the first kind.
arxiv  

A Few Considerations on Structural and Logical Composition in Specification Theories [PDF]

Electronic Proceedings in Theoretical Computer Science, 2011
Over the last 20 years a large number of automata-based specification theories have been proposed for modeling of discrete,real-time and probabilistic systems. We have observed a lot of shared algebraic structure between these formalisms.
Axel Legay, Andrzej Wąsowski
doaj   +1 more source

The derived-discrete algebras over the real numbers [PDF]

arXiv, 2020
We classify derived-discrete algebras over the real numbers up to Morita equivalence, using the classification of complex derived-discrete algebras in [{\sc D. Vossieck}, {\em The algebras with discrete derived category}, J. Algebra {\bf 243} (2001), 168--176].
arxiv  

Effective approximation to complex algebraic numbers by quadratic numbers [PDF]

Can. Math. Bull. 68 (2025) 262-269
We establish an effective improvement on the Liouville inequality for approximation to complex non-real algebraic numbers by quadratic complex algebraic numbers.
arxiv   +1 more source

Simultaneous approximation of a real number by all conjugates of an algebraic number

, 2007
Using a method of H. Davenport and W. M. Schmidt, we show that, for each positive integer n, the ratio 2/n is the optimal exponent of simultaneous approximation to real irrational numbers 1) by all conjugates of algebraic numbers of degree n, and 2) by ...
Alain, Guillaume
core   +1 more source