Results 11 to 20 of about 291,934 (311)
Mathematics of Computation, 1989 LetEbe an elliptic curve overQwith complex multiplication by an order in an imaginary quadratic field. Letψn{\psi _n}denote thenth division polynomial, and letPbe a rational point ofEof infinite order. A natural numbernis called anelliptic pseudoprimeifn|ψn+1(P)n|{\psi _{n + 1}}(P)andnis composite.
Miyamoto, Ian, Murty, M. Ram
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Journal of Pure and Applied Algebra, 2023 Given a local ring $(R,\mathfrak{m})$ and an elliptic curve $E(R/\mathfrak{m})$, we define elliptic loops as the points of $\mathbb{P}^2(R)$ projecting to $E$ under the canonical modulo-$\mathfrak{m}$ reduction, endowed with an operation that extends the curve's addition.
Sala, Massimiliano, Taufer, Daniele
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Bulletin of the American Mathematical Society, 1991 Let X be a simply connected CW-complex of finite Lusternik-Schnirelmann category with finitely generated homology. In rational homotopy theory, the loop space homology of X is either relatively small (the elliptic case) or else very large (the hyperbolic case).
Félix, Yves +2 more
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Elliptical concentrators [PDF]
Applied Optics, 2006 Nonimaging optics is a field devoted to the design of optical components for applications such as solar concentration or illumination. In this field, many different techniques have been used to produce optical devices, including the use of reflective and refractive components or inverse engineering techniques.
García Botella, Ángel +2 more
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The Arithmetic of Elliptic Curves
Elliptic Curves, 2020 Our research focuses on 9 specific elliptic curves E over Q, each with complex multiplication by the maximal order in an imaginary quadratic field. Viewed over C, each E gives rise to tori, defined by the generators ω1, ω2 ∈ C of the period lattice ...
G. Ballew, James Duncan May
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Computation of Trusted Short Weierstrass Elliptic Curves for Cryptography
Cybernetics and Information Technologies, 2021 Short Weierstrass elliptic curves with underlying hard Elliptic Curve Discrete Logarithm Problem (ECDLP) are widely used in cryptographic applications. A notion of security called Elliptic Curve Cryptography (ECC) security is also suggested in literature
Abhishek Kunal +1 more
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A finite element method for exterior interface problems
International Journal of Mathematics and Mathematical Sciences, 1980 A procedure is given for the approximate solution of a class of two-dimensional diffraction problems. Here the usual inner boundary conditions are replaced by an inner region together with interface conditions.
R. C. Maccamy, S. P. Marin
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Journal of Functional Analysis, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Farsi, C., Watling, N.
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Optics Express, 2008 A very general beam solution of the paraxial wave equation in elliptic cylindrical coordinates is presented. We call such a field an elliptic beam (EB). The complex amplitude of the EB is described by either the generalized Ince functions or the Whittaker-Hill functions and is characterized by four parameters that are complex in the most general ...
Bandres, Miguel A. +1 more
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Universe, 2020 A Multi-Phase Transport (AMPT) model is used to study the elliptic flow fluctuations of identified particles using participant and spectator event planes.
Niseem Magdy +4 more
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