Results 11 to 20 of about 140,803 (305)
Elliptic Hypergeometric Solutions to Elliptic Difference Equations [PDF]
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
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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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Multi-Threading Elliptic Curve Cryptosystems. [PDF]
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.
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Elliptic islands on the elliptical stadium
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
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Elliptic Combinatorics and Markov Processes [PDF]
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
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Weyl groups and elliptic solutions of the WDVV equations [PDF]
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
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Farsi, C., Watling, N.
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TORSION OF ELLIPTIC CURVES OVER QUADRATIC CYCLOTOMIC FIELDS [PDF]
In this paper we study the possible torsions of elliptic curves over ℚ(i) and ℚ(√−3)
Najman, Filip, Filip Najman
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Elliptical concentrators [PDF]
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
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Hardware Accelerators for Elliptic Curve Cryptography [PDF]
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
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