Results 11 to 20 of about 379,882 (288)
Elliptic nets and elliptic curves [PDF]
Algebra & Number Theory, 2011 An elliptic divisibility sequence is an integer recurrence sequence associated to an elliptic curve over the rationals together with a rational point on that curve. In this paper we present a higher-dimensional analogue over arbitrary base fields. Suppose E is an elliptic curve over a field K, and P_1, ..., P_n are points on E defined over K.
Ayad +5 more
openaire +4 more sources
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
openaire +1 more source
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
openaire +3 more sources
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
openaire +3 more sources
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
openaire +4 more sources
The Determinant of an Elliptic Sylvesteresque Matrix [PDF]
, 2018 We evaluate the determinant of a matrix whose entries are elliptic hypergeometric terms and whose form is reminiscent of Sylvester matrices. A hypergeometric determinant evaluation of a matrix of this type has appeared in the context of approximation ...
Bhatnagar, Gaurav +1 more
core +3 more sources
Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle [PDF]
, 2008 Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the $QD$-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well.
Tsujimoto, Satoshi, Zhedanov, Alexei
core +6 more sources
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
doaj +1 more source
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
doaj +1 more source
Journal of Functional Analysis, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Farsi, C., Watling, N.
openaire +2 more sources