Results 11 to 20 of about 140,803 (305)

Elliptic Hypergeometric Solutions to Elliptic Difference Equations [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
It is shown how to define difference equations on particular lattices $\{x_n\}$, $n\in\mathbb{Z}$, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations have remarkable simple interpolatory expansions.
Workshop on Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions   +1 more
openaire   +6 more sources

Elliptic loops

open access: yesJournal 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

Multi-Threading Elliptic Curve Cryptosystems. [PDF]

open access: yes, 2007
Elliptic Curve Cryptosystems (ECC) is being widely used in cryptographic systems due to its unique security features. In many cases, ECC had also been crafted onto specialized processor for performance reason.
Samsudin, Azman, Kanniah, Uma S.
core   +2 more sources

Elliptic islands on the elliptical stadium

open access: yesDiscrete and Continuous Dynamical Systems, 2001
We investigate the existence of elliptic islands for a special family of periodic orbits of a two-parameter family of maps corresponding to the billiard problem on the elliptical stadium. The hyperbolic or elliptical character of these orbits is also investigated.
Kamphorst, Sylvie Oliffson   +1 more
openaire   +2 more sources

Elliptic Combinatorics and Markov Processes [PDF]

open access: yes, 2012
We present combinatorial and probabilistic interpretations of recent results in the theory of elliptic special functions (due to, among many others, Frenkel, Turaev, Spiridonov, and Zhedanov in the case of univariate functions, and Rains in the ...
Betea, Dan Dumitru
core   +1 more source

Weyl groups and elliptic solutions of the WDVV equations [PDF]

open access: yes, 2010
A functional ansatz is developed which gives certain elliptic solutions of the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations. This ansatz is based on the elliptic trilogarithm function introduced by Beilinson and Levin. For this to be a solution
Ian A. B. Strachan   +2 more
core   +1 more source

Elliptic Algebras

open access: yesJournal of Functional Analysis, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Farsi, C., Watling, N.
openaire   +2 more sources

TORSION OF ELLIPTIC CURVES OVER QUADRATIC CYCLOTOMIC FIELDS [PDF]

open access: yes, 2010
In this paper we study the possible torsions of elliptic curves over ℚ(i) and ℚ(√−3)
Najman, Filip, Filip Najman
core   +1 more source

Elliptical concentrators [PDF]

open access: yesApplied 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.
Angel, Garcia-Botella   +2 more
openaire   +2 more sources

Hardware Accelerators for Elliptic Curve Cryptography [PDF]

open access: yes, 2008
Puttmann C, Shokrollahi J, Porrmann M, Rückert U. Hardware Accelerators for Elliptic Curve Cryptography. Advances in Radio Science. 2008;6:259-264.In this paper we explore different hardware accelerators for cryptography based on elliptic curves ...
U. Rückert   +7 more
core   +2 more sources

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