The elliptic modular functions associated with the elliptic norm curve đžâ· [PDF]
, 1922 Roscoe Woods
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TinyECC: A Configurable Library for Elliptic Curve Cryptography in Wireless Sensor Networks
International Symposium on Information Processing in Sensor Networks, 2008 Public key cryptography (PKC) has been the enabling technology underlying many security services and protocols in traditional networks such as the Internet.
An Liu, Peng Ning
semanticscholar +1 more source
Elliptic curves and modularity
, 2023 We survey results and conjectures concerning the modularity of elliptic curves over number fields.
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Elliptic curves on Abelian varieties [PDF]
Illinois Journal of Mathematics, 2015 Given a principally polarized abelian variety $(A, )$, we give a characterization of all elliptic curves that lie on $A$ in terms of intersection numbers of divisor classes in its N ron-Severi group.
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A note on the Verlinde bundles on elliptic curves [PDF]
arXiv, 2007 We study the splitting properties of the Verlinde bundles over elliptic curves. Our methods rely on the explicit description of the moduli space of semistable vector bundles on elliptic curves, and on the analysis of the symmetric powers of the Schrodinger representation of the Theta group.
arxiv
Chiroferromagnetic Quantum Dots for Chiroptical Synapse (ChiropS)
Advanced Materials, EarlyView.Chiroptical activity is enhanced by up to 0.003 in the gâfactor through the induction of ferromagnetism in quantum dots. A chiroptical neuromorphic synapse, composed of chiroferromagnetic quantum dots, generates different synaptic weights from multiple wavelengths and circularly polarized light.
Junyoung Kwon +11 more
wiley +1 more source
Some relations and groups of birational transforms on a general elliptic plane curve [I.] [PDF]
, 1924 Bohumil Machytka
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Tate-Shafarevich groups of constant elliptic curves and isogeny volcanos [PDF]
arXiv, 2019 We describe the structure of Tate-Shafarevich groups of a constant elliptic curves over function fields by exploiting the volcano structure of isogeny graphs of elliptic curves over finite fields.
arxiv
SprayâAssisted Fabrication of Cellulose Photonic Pigments on Superhydrophobic Surfaces
Advanced Materials, EarlyView.A method to directly produce structurally colored microparticles by drying cholesteric cellulose nanocrystal microdroplets on a superhydrophobic surface is reported. This approach has several key advantages that can unlock largeâscale fabrication of sustainable photonic pigments, including exploiting existing industrial techniques (e.g. aerosolization),
Jianing Song +7 more
wiley +1 more source
A plane elliptic curve of order 4đ+2, with singularities all real and distinct, and autopolar by 4đ+4 conics [PDF]
, 1933 Della C. Duncan
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