Results 21 to 30 of about 1,501,853 (289)
A new method for solving the elliptic curve discrete logarithm problem [PDF]
Groups, Complexity, Cryptology, 2021 The elliptic curve discrete logarithm problem is considered a secure cryptographic primitive. The purpose of this paper is to propose a paradigm shift in attacking the elliptic curve discrete logarithm problem.
Ansari Abdullah +2 more
doaj +1 more source
Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini [PDF]
Épijournal de Géométrie Algébrique, 2022 Let $X$ be the product of a surface satisfying $b_2=\rho$ and of a curve over a finite field. We study a strong form of the integral Tate conjecture for $1$-cycles on $X$.
Federico Scavia
doaj +1 more source
Algorithms in algebraic number theory [PDF]
, 1992 In this paper we discuss the basic problems of algorithmic algebraic number theory. The emphasis is on aspects that are of interest from a purely mathematical point of view, and practical issues are largely disregarded. We describe what has been done and,
Lenstra Jr., Hendrik W.
core +5 more sources
Variation of stable birational types in positive characteristic [PDF]
Épijournal de Géométrie Algébrique, 2020 Let k be an uncountable algebraically closed field and let Y be a smooth projective k-variety which does not admit a decomposition of the diagonal. We prove that Y is not stably birational to a very general hypersurface of any given degree and dimension.
Stefan Schreieder
doaj +1 more source
Weierstrass points on modular curves X0(N) fixed by the Atkin–Lehner involutions [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – The authors have determined whether the points fixed by all the full and the partial Atkin–Lehner involutions WQ on X0(N) for N ≤ 50 are Weierstrass points or not.
Mustafa Bojakli, Hasan Sankari
doaj +1 more source
Arithmetic of Calabi-Yau Varieties and Rational Conformal Field Theory [PDF]
, 2001 It is proposed that certain techniques from arithmetic algebraic geometry provide a framework which is useful to formulate a direct and intrinsic link between the geometry of Calabi-Yau manifolds and the underlying conformal field theory. Specifically it
Candelas +16 more
core +2 more sources
All opinions are not equal: Toward a consensual approach to the development of drug policy
Australian Journal of Social Issues, Volume 57, Issue 4, Page 812-828, December 2022., 2022 Abstract Drug policy has been subjected to much scrutiny from different stakeholder groups who present sometimes very different opinions on solutions to address a problem. Reconciling such differences, that are underpinned by both anecdotal and empirical evidence, is a priority yet to be fully achieved.
Gabriel T. W. Wong, Matthew Manning
wiley +1 more source
Degree of the Product of Two Algebraic Numbers One of Which Is of Prime Degree
Mathematics, 2023 Let α and β be two algebraic numbers such that deg(α)=m and deg(β)=p, where p is a prime number not dividing m. This research is focused on the following two objectives: to discover new conditions under which deg(αβ)=mp; to determine the complete list of
Paulius Virbalas
doaj +1 more source
Construction of Complex Lattice Codes via Cyclotomic Fields
Trends in Computational and Applied Mathematics, 2022 Through algebraic number theory and Construction $A$ we extend an algebraic procedure which generates complex lattice codes from the polynomial ring \mathbb{F}_{2}[x]/(x^{n}-1), where \mathbb{F}_{2}=\{0,1\}, by using ideals from the generalized ...
E. D. Carvalho +3 more
doaj +1 more source
Formal deformations of the algebra of Jacobi forms and Rankin–Cohen brackets
Comptes Rendus. Mathématique, 2021 This work is devoted to the algebraic and arithmetic properties of Rankin–Cohen brackets allowing to define and study them in several natural situations of number theory.
Choie, YoungJu +3 more
doaj +1 more source