Results 21 to 30 of about 117,996 (268)
Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen
مجلة بغداد للعلوم, 2016 Plane cubics curves may be classified up to isomorphism or projective equivalence. In this paper, the inequivalent elliptic cubic curves which are non-singular plane cubic curves have been classified projectively over the finite field of order nineteen,
Baghdad Science Journal
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On the Generalizations of Universality Theorem for L-Functions of Elliptic Curves
Jaunųjų Mokslininkų Darbai, 2017 In the paper, the continuous type’s universality theorem for L-functions of elliptic curves is discussed and its generalizations in three directions – for positive integer powers and derivatives of L-functions of elliptic curves as well as the weighted ...
Virginija Garbaliauskienė
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Elliptic Curves over Totally Real Cubic Fields are Modular [PDF]
, 2019 We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on previous work of Freitas, Le Hung and Siksek, who proved modularity of elliptic curves over real quadratic fields, as well as recent breakthroughs due to
Derickx, Maarten +2 more
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Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 Elliptic curve cryptography includes symmetric key cryptography systems that base their security on mathematical problems of elliptic curves. There are several ways that can be used to define the elliptic curve equation that depends on the infinite field
Juhari Juhari, Mohamad Febry Andrean
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Horizontal and Vertical Five-Branes in Heterotic/F-Theory Duality [PDF]
, 1999 We consider the heterotic string on an elliptic Calabi-Yau three-fold with five-branes wrapping curves in the base ('horizontal' curves) of the Calabi-Yau as well as some elliptic fibers ('vertical' curves). We show that in this generalized set-up, where
Andreas, Bjorn, Curio, Gottfried
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Families of elliptic curves with rational 3-torsion
Journal of Mathematical Cryptology, 2012 In this paper we look at three families of elliptic curves with rational 3-torsion over a finite field. These families include Hessian curves, twisted Hessian curves, and a new family we call generalized DIK curves. We find the number of -isogeny classes
Moody Dustin, Wu Hongfeng
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A conditional determination of the average rank of elliptic curves [PDF]
, 2014 Under a hypothesis which is slightly stronger than the Riemann Hypothesis for elliptic curve $L$-functions, we show that both the average analytic rank and the average algebraic rank of elliptic curves in families of quadratic twists are exactly $\frac ...
Fiorilli, Daniel
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A heuristic for boundedness of ranks of elliptic curves
, 2018 We present a heuristic that suggests that ranks of elliptic curves over the rationals are bounded. In fact, it suggests that there are only finitely many elliptic curves of rank greater than 21.
Park, Jennifer +3 more
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Superspecial rank of supersingular abelian varieties and Jacobians [PDF]
, 2015 An abelian variety defined over an algebraically closed field k of positive characteristic is supersingular if it is isogenous to a product of supersingular elliptic curves and is superspecial if it is isomorphic to a product of supersingular elliptic ...
Achter, Jeff, Pries, Rachel
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Elliptic nets and elliptic curves
, 2010 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.
Ayad +5 more
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