Results 31 to 40 of about 2,244,879 (350)
Regulators of rank one quadratic twists [PDF]
, 2008 We investigate the regulators of elliptic curves with rank 1 in some families of quadratic twists of a fixed elliptic curve. In particular, we formulate some conjectures on the average size of these regulators.
Delaunay, Christophe +1 more
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Triangles and elliptic curves, V [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1994 The author continues his work on elliptic curves associated to triangles as described in part I, ibid. 70, No. 4, 106-108; part II, ibid., No. 7, 223-225; and part III, ibid., No. 10, 311-314 (1994); see respectively Zbl 0824.14028 and 14029 and Zbl 0832.14021).
openaire +11 more sources
Ranks of elliptic curves [PDF]
Bulletin of the American Mathematical Society, 2002 This paper gives a general survey of ranks of elliptic curves over the field of rational numbers. The rank is a measure of the size of the set of rational points. The paper includes discussions of the Birch and Swinnerton-Dyer Conjecture, the Parity Conjecture, ranks in families of quadratic twists, and ways to search for elliptic curves of large rank.
Alice Silverberg, Karl Rubin
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On tea, donuts and non-commutative geometry [PDF]
Surveys in Mathematics and its Applications, 2018 As many will agree, it feels good to complement a cup of tea by a donut or two. This sweet relationship is also a guiding principle of non-commutative geometry known as Serre Theorem.
Igor V. Nikolaev
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Multi-Functional Resource-Constrained Elliptic Curve Cryptographic Processor
IEEE Access, 2023 With the rising data evolution, the demand for secured communications over networks is rising immensely. Elliptic Curve Cryptography (ECC) provides an attractive solution to fulfill the requirements of modern network applications.
Binh Kieu Do-Nguyen +4 more
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Visualising Sha[2] in Abelian Surfaces [PDF]
, 2002 Given an elliptic curve E1 over a number field and an element s in its 2-Selmer group, we give two different ways to construct infinitely many Abelian surfaces A such that the homogeneous space representing s occurs as a fibre of A over another elliptic ...
Bruin, Nils
core +2 more sources
A Novel Scheme of Image Encryption Based on Elliptic Curves Isomorphism and Substitution Boxes
IEEE Access, 2021 In this manuscript, we propose an image encryption technique by using isomorphic elliptic curves which are proved to be effective against side-channel attacks and have efficient key size as compared to other public-key structures.
Ijaz Khalid +4 more
doaj +1 more source
On families of 9-congruent elliptic curves [PDF]
, 2015 We compute equations for the families of elliptic curves 9-congruent to a given elliptic curve. We use these to find infinitely many non-trivial pairs of 9-congruent elliptic curves over Q, i.e.
Fisher, Tom
core +1 more source
Digital Image Encryption Algorithm Based on Elliptic Curve Public Cryptosystem
IEEE Access, 2018 With the increasing use of media in communications, the content security of digital images attracts much attention in both the academia and the industry.
Xiaoqiang Zhang, X. Wang
semanticscholar +1 more source
Elliptic curve and k-Fibonacci-like sequence
Scientific African, 2023 In this paper, we will introduce a modified k-Fibonacci-like sequence defined on an elliptic curve and prove Binet’s formula for this sequence. Moreover, we give a new encryption scheme using this sequence.
Zakariae Cheddour +2 more
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