elliptic curves
Elliptic Curves Number Theory and Cryptography,
... decades, elliptic curves have been playing an in- creasingly important role both in number theory and in related fields such as ...1980s, elliptic curves started being used in cryptography and ...
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Directory UMM :Journals:Journal_of_mathematics:OTHER:
... The visibility dimension is analogous to the visibility dimension for elements of H 1 (K, A) introduced in [AS02, §2]. We prove below that elements of order 2 in Mordell-Weil groups of elliptic curves over ...
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article08_5. 274KB Jun 04 2011 12:06:53 AM
... of elliptic curves over Q in families of quadratic twists has been extensively studied by Gouvˆea, Mazur, Stewart, Top, Rubin and ...any elliptic curve over Q admits infinitely many quadratic twists ...
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article09_3. 298KB Jun 04 2011 12:06:54 AM
... cyclotomic determinant, the moduli space of elliptic curves defined over k with p-torsion giving rise to ̺ consists of two twists of the modular curve X (p). We make here explicit the only genus-zero cases ...
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02foreword. 25KB Jun 04 2011 12:07:10 AM
... I first met John Coates during my first year as a graduate student at Cam- bridge. John was about to move back to Cambridge where he had been a graduate student himself. It was at a point in his career when he was ...
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Directory UMM :Journals:Journal_of_mathematics:OTHER:
... between elliptic sequences and elliptic curves is more detailed and complete than ...given elliptic curve is in fact elliptic: thus, for example, also my quartics may have multiple ...
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kobayashi. 124KB Jun 04 2011 12:09:06 AM
... for elliptic curves by purely local and elementary method and we apply this formula to Kato’s element to show the conjecture of ...for elliptic curves but for higher weight modular forms) but ...
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sigma07-045. 315KB Jun 04 2011 12:10:02 AM
... is elliptic, or equivalently, Jac X contains an elliptic ...spectral curves of operators with elliptic coefficients automatically come with this reduction property, because the ...
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article07_7. 230KB Jun 04 2011 12:06:53 AM
... P.L. Clark communicated to the author that he proved by different meth- ods that if E/K has full p-torsion then X (E/L)[p] can be arbitrarily large if L runs over all extension of K of degree p, but E remains fixed. This ...
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coates schneider sujatha.dm
... G as a p-adic Lie group. We are interested in the following full subcategory of the category of all finitely generated torsion Λ(G)-modules. Let M H (G) denote the category whose objects are all Λ(G)-modules which are ...
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macleod11. 118KB Jun 04 2011 12:09:11 AM
... It is possible to use these and the previous algebraic expressions to derive parametric formulae for quartic elliptic curves with 10-term APs, but these expressions will only cover a small fraction of ...
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campbell4. 162KB Jun 04 2011 12:08:31 AM
... produce elliptic curves of large ...produce elliptic curves and infinite families of elliptic curves with the largest known rank (often with some condition on the torsion ...
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Selected Areas in Cryptography SAC 2017 pdf pdf
... Abstract. In the RFC 7748 memorandum, the Internet Research Task Force specified a Montgomery-ladder scalar multiplication function based on two recently adopted elliptic curves, “curve25519” and ...
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ResumeBayeretal. 79KB Jun 04 2011 12:07:06 AM
... Shimura curves associated to rational nonsplit qua- ternion algebras are coarse moduli spaces for principally polar- ized abelian surfaces endowed with quaternionic ...elliptic curves. We present a ...
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article06. 267KB Jun 04 2011 12:06:52 AM
... actually build an elliptic curve having rational torsion subgroup of order ℓ, and sometimes a rational point inside it. Application of the Frobenius on such a point gives us the sign we are looking for. This is ...
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Paper1-Acta25-2011. 171KB Jun 04 2011 12:03:15 AM
... an elliptic curve, it is a curve of genus 0 (in fact it is a singular ...an elliptic curve E as a curve in projective plane P 2 , with a homogeneous equation y 2 z = x 3 + ax 2 z 2 + bxz 3 , and one point ...
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Elliptic Curve Cryptography: An Implementation Guide
... where 4a 3 + 27b 2 mod p ≠ 0. Here the elements of the finite field are integers between 0 and p – 1. All the operations such as addition, substation, division, multiplication involves integers between 0 and p – 1. This ...
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sigma09-033. 355KB Jun 04 2011 12:10:25 AM
... dn- elliptic polynomials which are orthogonal on the unit circle with respect to a positive dense point measure ...the elliptic hypergeometric function) examples of such measures (see also [24] for general ...
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CONVEXITY PROPERTIES AND COMPLETE HYPERBOLICITY OF LEMPERT’S ELLIPTIC TUBES
... projective invariance of the elliptic tubes to construct a natural complexification of convex real projective manifolds. In this paper, by a convex real projective mani- fold we mean a manifold carrying a convex ...
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THE PSYDRAX DICOCCOS COMPLEX (RUBIACEAE) IN MALESIA, WITH THREE NEW SPECIES
... triangular, 2.5–3 mm long. Leaves: blade elliptic- obovate, 5.5–8.5 × 3.7–4.2 cm, glabrous, coria- ceous, attenuate at apex, acuminate to cuspidate at apex; lateral nerves 4–5 pairs, slightly raised; tertiary ...
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